Peer Reviewed Journal Publication

  • Gangl, Peter; Löscher, Richard; Steinbach, Olaf (2025) Regularization and finite element error estimates for elliptic distributed optimal control problems with energy regularization and state or control constraints. Computers and Mathematics with Applications, Bd. 180, S. 242-260.
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  • Stefan Takacs, Stefan Tyoler (2025, online: 2024) Multi-resolution Isogeometric Analysis -- Efficient adaptivity utilizing the multi-patch structure. Computers & Mathematics with Applications, Bd. 179, S. 23.
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  • Baumann, Phillip; Gangl, Peter; Sturm, Kevin (2024) Complete topological asymptotic expansion for L 2 and H 1 tracking-type cost functionals in dimension two and three. J DIFFER EQUATIONS, Bd. 412, S. 568-612.
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  • Brunk, Aaron; Egger, Herbert; Habrich, Oliver (2024) A second-order structure-preserving discretization for the Cahn-Hilliard/Allen-Cahn system with cross-kinetic coupling. APPL NUMER MATH, Bd. 206, S. 12-28.
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  • Fritz, Marvin (2024) On the well-posedness of the Cahn-Hilliard-Biot model and its applications to tumor growth. Discrete and Continuous Dynamical Systems - S, Bd. 17 (12), S. 3533-3563.
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  • Brunk, Aaron; Fritz, Marvin (2024) Structure-preserving approximation of the Cahn-Hilliard-Biot system. Numerical Methods for Partial Differential Equations, Bd. 41 (1), S. e23159.
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  • Cesarano, Alessio; Dapogny, Charles; Gangl, Peter (2024) Space-time shape optimization of rotating electric machines. MATH MOD METH APPL S, Bd. 34 (14), S. 2647-2708.
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  • Egger, H.; Kurz, S.; Loescher, R. (2024) On the exponential stability of uniformly damped wave equations and their structure-preserving discretization. RESULTS IN APPLIED MATHEMATICS, Bd. 24, S. ARTN 100502.
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  • Benko, Matus; Mehlitz, Patrick (2024) Isolated Calmness of Perturbation Mappings and Superlinear Convergence of Newton-Type Methods. J OPTIMIZ THEORY APP, Bd. 203 (2), S. 1587-1621.
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  • Langer, U.; Repin, S.; Samrowski, T. (2024) A posteriori error estimates for a coupled piezoelectric model. PAMM, Bd. 24 (1), S. 202400075.
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  • Thoma, T.,; Kotyczka, P.; Egger, H. (2024) On the velocity-stress formulation for geometrically nonlinear elastodynamics and its structure-preserving discretization. Mathematical and Computer Modelling of Dynamical Systems, Bd. 30, S. 701–720.
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  • Endtmayer, B.; Langer, U.; Schafelner, A. (2024) Goal-oriented adaptive space-time finite element methods for regularized parabolic p-Laplace problems. COMPUT MATH APPL, Bd. 167, S. 286-297.
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  • Théodore Cherrière, Sami Hlioui, Luc Laurent (2024) Multimaterial filtering applied to the topology optimization of a permanent magnet synchronous machine. COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Bd. 43 (4), S. 852-870.
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  • Gangl, Peter; Nees, Nico; Stingl, Michael (2024) Efficient and Accurate Separable Models for Discretized Material Optimization: A Continuous Perspective Based on Topological Derivatives. J GEOM ANAL, Bd. 34 (7), S. ARTN 206.
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  • Langer, Ulrich; Loescher, Richard; Steinbach, Olaf; Yang, Huidong (2024) Mass-lumping discretization and solvers for distributed elliptic optimal control problems. NUMER LINEAR ALGEBR.
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  • Brunk, A.; Egger, H.; Oyedeji, T. D.; Yang, Y.; Xu, B. -X. (2024) On existence, uniqueness and stability of solutions to Cahn-Hilliard/Allen-Cahn systems with cross-kinetic coupling. NONLINEAR ANAL-REAL, Bd. 77, S. ARTN 104051.
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  • Fritz, Marvin; Suli, Endre; Wohlmuth, Barbara (2024) ANALYSIS OF A DILUTE POLYMER MODEL WITH A TIME-FRACTIONAL DERIVATIVE. SIAM J MATH ANAL, Bd. 56 (2), S. 2063-2089.
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  • Jodlbauer, Daniel; Langer, Ulrich; Wick, Thomas; Zulehner, Walter (2024) MATRIX-FREE MONOLITHIC MULTIGRID METHODS FOR STOKES AND GENERALIZED STOKES PROBLEMS. SIAM J SCI COMPUT, Bd. 46 (3), S. A1599-A1627.
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  • Radu, Bogdan; Egger, Herbert (2024) A Yee-like finite-element scheme for Maxwell's equations on unstructured grids. IMA J NUMER ANAL, Bd. 00, S. 1–26.
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  • Langer, Ulrich; Loescher, Richard; Steinbach, Olaf; Yang, Huidong (2024) An adaptive finite element method for distributed elliptic optimal control problems with variable energy regularization. COMPUT MATH APPL, Bd. 160, S. 1-14.
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  • U. Langer, O. Steinbach, and H. Yang (2024) Robust space-time finite element error estimates for parabolic distributed optimal control problems with energy regularization. Advances in Computational Mathematics, Bd. Advances in Computational Mathematics (24), S. 50.
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  • Fritz, Marvin (2024) WELL-POSEDNESS AND SIMULATION OF WEAK SOLUTIONS TO THE TIME-FRACTIONAL FOKKER-PLANCK EQUATION WITH GENERAL FORCING. DISCRETE CONT DYN-B.
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  • Cherrière, Théodore; Hlioui, Sami; Laurent, Luc; Louf, François; Ahmed, Hamid Ben et al. [..] (2023) Multi-material topology optimization of a flux switching machine. Science and Technology for Energy Transition, Bd. 78 (41), S. 10.
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  • Gangl, P.; Gfrerer, M. H. (2023) A Unified Approach to Shape and Topological Sensitivity Analysis of Discretized Optimal Design Problems. APPL MATH OPT, Bd. 88 (2), S. ARTN 46.
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  • Wagner, Andreas; Schlicke, Pirmin; Fritz, Marvin; Kuttler, Christina; Oden, J Tinsley et al. [..] (2023) A phase-field model for non-small cell lung cancer under the effects of immunotherapy. Mathematical Biosciences and Engineering, Bd. 20 (10), S. 18670 – 18694.
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  • Brunk, A.; Egger, H.; Habrich, O.; Lukáčová-Medviďová, M. (2023) A second-order fully-balanced structure-preserving variational discretization scheme for the Cahn–Hilliard–Navier–Stokes system. Mathematical Models and Methods in Applied Sciences, Bd. 33 (12), S. 2587-2627.
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  • Oyedeji, Timileyin David; Yang, Yangyiwei; Egger, Herbert; Xu, Bai-Xiang (2023) Variational quantitative phase-field modeling of nonisothermal sintering process. PHYS REV E, Bd. 108 (2), S. ARTN 025301.
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  • Egger, Herbert; Philippi, Nora (2023) A hybrid-dG method for singularly perturbed convection-diffusion equations on pipe networks. ESAIM-MATH MODEL NUM, Bd. 57 (4), S. 2077-2095.
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  • Langer, Ulrich; Löscher, Richard; Steinbach, Olaf; Yang, Huidong (2023) Robust finite element discretization and solvers for distributed elliptic optimal control problems. Comput. Methods Appl. Math., Bd. 23 (4), S. 989–1005.
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  • Brunk, Aaron; Egger, Herbert; Habrich, Oliver (2023) On uniqueness and stable estimation of multiple parameters in the Cahn-Hilliard equation. INVERSE PROBL, Bd. 39 (6), S. ARTN 065002.
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  • Brunk, Aaron; Egger, Herbert; Habrich, Oliver; Lukacova-Medvidova, Maria (2023) Stability and discretization error analysis for the Cahn-Hilliard system via relative energy estimates. ESAIM-MATH MODEL NUM, Bd. 57 (3), S. 1297-1322.
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  • Ziegler, Anna; Merkel, Melina; Gangl, Peter; Schoeps, Sebastian (2023) On the computation of analytic sensitivities of eigenpairs in isogeometric analysis. COMPUT METHOD APPL M, Bd. 409, S. ARTN 115961.
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  • Fritz, Marvin (2023) Tumor evolution models of phase-field type with nonlocal effects and angiogenesis. Bulletin of Mathematical Biology, Bd. 85 (44), S. 1-34.
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  • Egger, H.; Giesselmann, J. (2023) Stability and asymptotic analysis for instationary gas transport via relative energy estimates. NUMER MATH.
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  • Georgieva, Irina; Hofreither, Clemens (2022) A Newton method for best uniform rational approximation. NUMER ALGORITHMS, Bd. online, S. online.
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  • Langer, Ulrich; Schafelner, Andreas (2022) Adaptive space–time finite element methods for parabolic optimal control problems. Journal of Numerical Mathematics, Bd. 30 (4), S. 247-266.
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  • Pauly, Dirk; Zulehner, Walter (online: 2022) The elasticity complex: compact embeddings and regular decompositions. Appl. Anal.
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  • Egger, H.; Giesselmann, J.; Kunkel, T.; Philippi, N. (2022) An asymptotic-preserving discretization scheme for gas transport in pipe networks. IMA J. Numer. Anal.
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  • Gangl, Peter; Sturm, Kevin (2022) Automated computation of topological derivatives with application to nonlinear elasticity and reaction-diffusion problems. Computer Methods in Applied Mechanics and Engineering, Bd. 398, S. 115288.
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  • Gangl, Peter; Köthe, Stefan; Mellak, Christiane; Cesarano, Alessio (2022) Multi-objective free-form shape optimization of a synchronous reluctance machine. COMPEL -- The international journal for computation and mathematics in electrical and electronic engineering, Bd. 41 (5), S. 1849-1864.
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  • Shashkov, Vsevolod; Cortes Garcia, Idoia; Egger, Herbert (2022) MONA-A magnetic oriented nodal analysis for electric circuits. Int. J. Circuit Theory Appl.
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  • Yang, Yangyiwei; Fathidoost, Mozhdeh; Oyedeji, Timileyin David; Bondi, Prasanth; Zhou, Xiandong et al. [..] (2022) A diffuse-interface model of anisotropic interface thermal conductivity and its application in thermal homogenization of composites. Scr. Mater., Bd. 212, S. ARTN 114537.
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  • Egger, Herbert; Harutyunyan, Mane; Loescher, Richard; Merkel, Melina; Schoeps, Sebastian (2022) On torque computation in electric machine simulation by harmonic mortar methods. JOURNAL OF MATHEMATICS IN INDUSTRY, Bd. 12 (1), S. ARTN 6.
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  • Egger, Herbert; Sabouri, Mania (2021) On the structure preserving high-order approximation of quasistatic poroelasticity. Mathematics and Computers in Simulation, Bd. 189, S. 237-252.
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  • Danczul, Tobias; Hofreither, Clemens (2021) On Rational Krylov and Reduced Basis Methods for Fractional Diffusion. Journal of Numerical Mathematics (online), S. online <'http://dx.doi.org/10.1515/jnma-2021-0032'>.
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  • Dölz, Jürgen; Egger, Herbert; Shashkov, Vsevolod (2021) A fast and oblivious matrix compression algorithm for Volterra integral operators. Advances in Computational Mathematics, Bd. 47, S. 81.
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  • Langer, Ulrich; Steinbach, Olaf; Yang, Huidong (2021) Robust Discretization and Solvers for Elliptic Optimal Control Problems with Energy Regularization. Comput. Methods Appl. Math.
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  • Takacs, Stefan (online: 2021) Discretization error estimates for discontinuous Galerkin Isogeometric Analysis. Applicable Analysis.
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  • Hofreither, Clemens (2021) An algorithm for best rational approximation based on barycentric rational interpolation. Numerical Algorithms (88), S. 365-388 <'http://dx.doi.org/10.1007/s11075-020-01042-0'>.
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  • Doelz, Juergen; Egger, Herbert; Schlottbom, Matthias (2021) A model reduction approach for inverse problems with operator valued data. Numer. Math., Bd. 148, S. 889–917.
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  • Schneckenleitner, Rainer; Takacs, Stefan (online: 2021) Convergence theory for IETI-DP solvers for discontinuous Galerkin Isogeometric Analysis that is explicit in h and p. Computational Methods in Applied Mathematics, Bd. online first, S. online first.
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  • Spiller, Dominik; Brunk, Aaron; Habrich, Oliver; Egger, Herbert; Lukacova-Medvidova, Maria et al. [..] (2021) Systematic derivation of hydrodynamic equations for viscoelastic phase separation. Journal of Physics. Condensed Matter, Bd. 33, S. 364001.
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  • Endtmayer, Bernhard; Langer, Ulrich; Wick, Thomas (2021) Reliability and Efficiency of DWR-Type A Posteriori Error Estimates with Smart Sensitivity Weight Recovering. Comput. Methods Appl. Math., Bd. 21 (2), S. 351-371.
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  • Hofreither, Clemens; Mitter, Ludwig; Speleers, Hendrik (2021) Local multigrid solvers for adaptive isogeometric analysis in hierarchical spline spaces. IMA Journal of Numerical Analysis (online), S. online <'http://dx.doi.org/10.1093/imanum/drab041'>.
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  • Langer, Ulrich; Zank, Marco (2021) EFFICIENT DIRECT SPACE-TIME FINITE ELEMENT SOLVERS FOR PARABOLIC INITIAL-BOUNDARY VALUE PROBLEMS IN ANISOTROPIC SOBOLEV SPACES. SIAM J. Sci. Comput., Bd. 43 (4), S. A2714-A2736.
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  • Egger, Herbert; Schmidt, Kersten; Shashkov, Vsevolod (2021) Multistep and Runge-Kutta convolution quadrature methods for coupled dynamical systems. ournal of Computational and Applied Mathematics, Bd. 387, S. 112618.
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  • Brunk, Aaron; Dünweg, Burkhard; Egger, Herbert; Habrich, Oliver; Lukacova-Medvidova, Maria et al. [..] (2021) Analysis of a viscoelastic phase separation model. Journal of Physics. Condensed Matter, Bd. 33, S. 234002.
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  • Shokina, Nina; Teschner, Gabriel; Bauer, Andreas; Tropea, Cameron; Egger, Herbert et al. [..] (2021) Parametric Sequential Method for MRI-based Wall Shear Stress Quantification. IEEE Transactions on Medical Imaging, Bd. 20, S. 1105-1112.
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  • Egger, Herbert; Radu, Bogdan (2021) A second order finite element method with mass lumping for Maxwell's equations on tetrahedra. SIAM Journal on Numerical Analysis, Bd. 59, S. 864-885.
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  • Egger, Herbert; Radu, Bogdan (2021) A Second-Order Finite Element Method with Mass Lumping for Maxwell's Equations on Tetrahedra. SIAM Journal on Numererical Analysis, Bd. 59, S. 864-885.
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  • Langer, Ulrich; Steinbach, Olaf; Tröltzsch, Fredi; Yang, Huidong (online: 2021) Space-time finite element discretization of parabolic optimal control problems with energy regularization. SIAM Journal on Numerical Analysis, Bd. 59 (2), S. 675-695.
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  • Langer, Ulrich; Steinbach, Olaf; Tröltzsch, Fredi; Yang, Huidong (online: 2021) Unstructured Space-Time Finite Element Methods for Optimal Control of Parabolic Equations. SIAM Journal on Scientific Computing, Bd. 43 (2), S. A744-A771.
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  • Jodlbauer, D.; Langer, U.; Wick, T. (2020) Matrix-free multigrid solvers for phase-field fracture problems. Comput. Meth. Appl. Mech. Eng., Bd. 372, S. ARTN 113431.
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  • Takacs, Stefan (2020) Fast multigrid solvers for conforming and non-conforming multi-patch Isogeometric Analysis. Comput. Meth. Appl. Mech. Eng., Bd. 371, S. 113301.
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  • Schneckenleitner, Rainer; Takacs, Stefan (2020) Condition number bounds for IETI-DP methods that are explicit in h and p. Mathematical Models and Methods in Applied Sciences, Bd. 30 (2), S. 2067-2103.
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  • Beigl, Alexander.; Sogn, Jarle; Zulehner, Walter (2020) Robust Preconditioners for Multiple Saddle Point Problems and Applications to Optimal Control Problems. SIAM Journal on Matrix Analysis and Applications, Bd. 41 (4), S. 1590-1615.
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  • Jodlbauer, Daniel; Langer, Ulrich; Wick, Thomas (2020) Parallel Matrix-Free Higher-Order Finite Element Solvers for Phase-Field Fracture Problems. MATHEMATICAL AND COMPUTATIONAL APPLICATIONS, Bd. 25 (3), S. ARTN 40.
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  • Kyas, S.; Langer, U.; Repin, S. (online: 2019) Space-time isogeometric analysis of parabolic diffusion problems in moving spatial domains. PAMM, Bd. 1 (19).
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  • Bressan, Andrea; Takacs, Stefan (2019) Sum factorization techniques in Isogeometric Analysis. Comput. Meth. Appl. Mech. Eng., Bd. 352, S. 437-460.
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  • Hofer, Christoph; Langer, Ulrich; Neumueller, Martin; Schneckenleitner, Rainer (2019) PARALLEL AND ROBUST PRECONDITIONING FOR SPACE-TIME ISOGEOMETRIC ANALYSIS OF PARABOLIC EVOLUTION PROBLEMS. SIAM J. Sci. Comput., Bd. 41 (3), S. A1793-A1821.
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  • Sogn, Jarle; Takacs, Stefan (2019, online: 2018) Robust multigrid solvers for the biharmonic problem in isogeometric analysis. Computers and Mathematics with Applications, Bd. 77 (1), S. 105 - 124.
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  • Takacs, Stefan (2018) Robust approximation error estimates and multigrid solvers for isogeometric multi-patch discretizations. Mathematical Models and Methods in Applied Sciences, Bd. 28 (10), S. 1899-1928.
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  • Hofer, C.; Langer, U.; Neumüller, M.; Toulopoulos, I. (online: 2018) Time-multipatch discontinuous Galerkin space-time isogeometric analysis of parabolicevolution problems. Electronic Transactions on Numerical Analysis (49), S. 126-150.
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  • Langer, Ulrich; Repin, Sergey; Samrowski, Tatiana (2017) A posteriori estimates for a coupled piezoelectric model. Russ. J. Numer. Anal. Math. Model, Bd. 32 (4), S. 259-266.
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  • Hofreither, Clemens; Takacs, Stefan (2017) ROBUST MULTIGRID FOR ISOGEOMETRIC ANALYSIS BASED ON STABLE SPLITTINGS OF SPLINE SPACES. SIAM J. Numer. Anal., Bd. 55 (4), S. 2004-2024.
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  • TOULOPOULOS, IOANNIS; WICK, THOMAS (2017) NUMERICAL METHODS FOR POWER-LAWDIFFUSION PROBLEMS. SIAM J. SCI. COMPUT., Bd. 39 (3), S. A681-A710.
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  • Lee, Sanghyun; Wheeler, Mary F.; Wick, Thomas (2017) Iterative coupling of flow, geomechanics and adaptive phase-field fracture including level-set crack width approaches. J. Comput. Appl. Math., Bd. 314, S. 40-60.
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  • Mantzaflaris, A., Jüttler, B., Khoromskij, B.N., Langer, U. (2017) Low rank tensor methods in Galerkin-based isogeometric analysis. Computer Methods in Applied Mechanics and Engineering, Bd. 316, S. 1062-1085.
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  • Hofer, Christoph; Langer, Ulrich (2017) Dual-Primal Isogeometric Tearing and Interconnecting solvers for multipatch dG-IgA equations. Computer Methods in Applied Mechanics and Engineering, Bd. 316, S. 2-21.
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  • Hofreither, Clemens; Takacs, Stefan; Zulehner, Walter (2017, online: 2016) A Robust Multigrid Method for Isogeometric Analysis using Boundary Correction. Computer Methods in Applied Mechanics and Engineering, Bd. 316, S. 22-42 <'http://www.sciencedirect.com/science/article/pii/S0045782516301414'>.
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  • N., Bayramov; J., Kraus (online: 2017) Multigrid methods for convection–diffusion problems discretized by a monotone scheme. Computer Methods in Applied Mechanics and Engineering, Bd. 317, S. 723-745.
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  • Koutschan, Christoph; Neumüller, Martin; Radu, Silviu (2016) Inverse Inequality Estimates with Symbolic Computation. Advances in Applied Mathematics, Bd. 80, S. 1-23.
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  • Qingguo, Hong; Johannes, Kraus (online: 2016) Uniformly Stable Discontinuous Galerkin Discretization and Robust Iterative Solution Methods for the Brinkman Problem. SIAM Journal on Numerical Analysis, Bd. 54 (5), S. 2750-2774.
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  • HOFER, CHRISTOPH, and LANGER, ULRICH AND TOULOPOULOS, IOANNIS (2016) DISCONTINUOUS GALERKIN ISOGEOMETRIC ANALYSISOF ELLIPTIC DIFFUSION PROBLEMS ON SEGMENTATIONSWITH GAPS. SIAM J. SCI. COMPUT., Bd. 38 (6), S. A3430–A3460.
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  • Hofer, Christoph and Toulopoulos, Ioannis (2016) Discontinuous Galerkin Isogeometric Analysis of ellipticproblems on segmentations with non-matching interfaces. Computers and Mathematics with Applications, Bd. 72, S. 1811-1827.
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  • Takacs, Stefan; Takacs, Thomas (2016) Approximation error estimates and inverse inequalities for B-splines of maximum smoothness. Math. Models Methods Appl. Sci., Bd. 26 (7), S. 1411-1445 <'http://www.worldscientific.com/doi/abs/10.1142/S0218202516500342'>.
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  • Lee, Sanghyun; Wheeler, Mary F.; Wick, Thomas (2016) Pressure and fluid-driven fracture propagation in porous media using an adaptive finite element phase field model. Comput. Meth. Appl. Mech. Eng., Bd. 305, S. 111-132.
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  • Wick, Thomas (2016) Coupling fluid-structure interaction with phase-field fracture. Journal of Computational Physics, Bd. 327, S. 67-96.
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  • Wick, Thomas; Frei, Stefan; Richter, Thomas (2016) Long-term simulation of large deformation, mechano-chemical fluid-structure interactions in ALE and fully Eulerian coordinates. Journal of Computational Physics, Bd. 321, S. 874-891.
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  • Lee, S.; Mikelic, A.; Wheeler, M. F.; Wick, T. (2016) Phase-field modeling of proppant-filled fractures in a poroelastic medium. Computer Methods in Applied Mechanics and Engineering, Bd. 312, S. 509-541.
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  • Wick, Thomas (2016) Goal functional evaluations for phase-field fracture using PU-based DWR mesh adaptivity. Comput. Mech., Bd. 57 (6), S. 1017-1035.
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  • Lee, S.; Wheeler, M. F.; Wick, T.; Srinivasan, S. (2016) Initialization of phase-field fracture propagation in porous media using probability maps of fracture networks. Mechanics Research Communications, Bd. in press, doi:, S. 10.1016/j.mechrescom.2016.04.002.
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  • Ulrich Langer, Ioannis Toulopoulos (2016) Analysis of multipatch discontinuous Galerkin IgA approximations to elliptic boundary value problems. Computing and Visualization in Science, Bd. 17 (5), S. 217–233.
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  • Mantzaflaris, A.; Jüttler, B.; Khoromskij, B.; Langer, Ulrich (online: 2016) Low rank tensor methods in galerkin-based isogeometric analysis. Comput. Methods Appl. Mech. Engrg.
    DOIRISENWBIB
  • Hofer, Christoph; Langer, Ulrich (online: 2016) Dual-Primal Isogeometric Tearing and Interconnecting solvers for multipatch dG-IgA equations. Computer Methods in Applied Mechanics and Engineering.
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  • J., Kraus; R., Lazarov; M., Lymbery; S., Margenov; L., Zikatanov (online: 2016) Preconditioning Heterogeneous H(div) Problems by Additive Schur Complement Approximation and Applications. SIAM Journal on Scientific Computing, Bd. 38 (2), S. A875-A898.
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  • Q., Hong; J., Kraus; J., Xu; L., Zikatanov (2016) A robust multigrid method for discontinuous Galerkin discretizations of Stokes and linear elasticity equations. Numerische Mathematik, Bd. 132 (1), S. 23-49.
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  • Takacs, Stefan (2015) A robust multigrid method for the time-dependent Stokes problem. SIAM Journal on Numerical Analysis, Bd. 53 (6), S. 2634-2654 <'http://epubs.siam.org/doi/10.1137/140969658'>.
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  • T. Malkmus, ; Růžička, M.; S. Eckstein, ; Toulopoulos, I. Generalizations of SIP Methods to systems with p-structure. IMA Journal of Numerical Analysis., Bd. 2017, S. 00.
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  • Generalizations of SIP Methods to systems with p-structure. IMA Journal of Numerical Analysis., Bd. 2017, S. 00.
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  • Kent-Andre Mardal, Jarle Sogn, Stefan Takacs Robust preconditioning and error estimates for optimal control of the convection-diffusion-reaction equation with limited observation in Isogeometric analysis. SIAM Journal on Numerical Analysis, Bd. 60 (1), S. 195–221.
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  • Gangl, Peter; Löscher, Richard; Steinbach, Olaf (2025) Regularization and finite element error estimates for elliptic distributed optimal control problems with energy regularization and state or control constraints. Computers and Mathematics with Applications, Bd. 180, S. 242-260.
    DOIWebsiteRISENWBIB
  • Stefan Takacs, Stefan Tyoler (2025, online: 2024) Multi-resolution Isogeometric Analysis -- Efficient adaptivity utilizing the multi-patch structure. Computers & Mathematics with Applications, Bd. 179, S. 23.
    RISENWBIB
  • Baumann, Phillip; Gangl, Peter; Sturm, Kevin (2024) Complete topological asymptotic expansion for L 2 and H 1 tracking-type cost functionals in dimension two and three. J DIFFER EQUATIONS, Bd. 412, S. 568-612.
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  • Brunk, Aaron; Egger, Herbert; Habrich, Oliver (2024) A second-order structure-preserving discretization for the Cahn-Hilliard/Allen-Cahn system with cross-kinetic coupling. APPL NUMER MATH, Bd. 206, S. 12-28.
    DOIRISENWBIB
  • Fritz, Marvin (2024) On the well-posedness of the Cahn-Hilliard-Biot model and its applications to tumor growth. Discrete and Continuous Dynamical Systems - S, Bd. 17 (12), S. 3533-3563.
    DOIWebsiteRISENWBIB
  • Brunk, Aaron; Fritz, Marvin (2024) Structure-preserving approximation of the Cahn-Hilliard-Biot system. Numerical Methods for Partial Differential Equations, Bd. 41 (1), S. e23159.
    DOIWebsiteRISENWBIB
  • Cesarano, Alessio; Dapogny, Charles; Gangl, Peter (2024) Space-time shape optimization of rotating electric machines. MATH MOD METH APPL S, Bd. 34 (14), S. 2647-2708.
    DOIRISENWBIB
  • Egger, H.; Kurz, S.; Loescher, R. (2024) On the exponential stability of uniformly damped wave equations and their structure-preserving discretization. RESULTS IN APPLIED MATHEMATICS, Bd. 24, S. ARTN 100502.
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  • Benko, Matus; Mehlitz, Patrick (2024) Isolated Calmness of Perturbation Mappings and Superlinear Convergence of Newton-Type Methods. J OPTIMIZ THEORY APP, Bd. 203 (2), S. 1587-1621.
    DOIRISENWBIB
  • Langer, U.; Repin, S.; Samrowski, T. (2024) A posteriori error estimates for a coupled piezoelectric model. PAMM, Bd. 24 (1), S. 202400075.
    DOIRISENWBIB
  • Thoma, T.,; Kotyczka, P.; Egger, H. (2024) On the velocity-stress formulation for geometrically nonlinear elastodynamics and its structure-preserving discretization. Mathematical and Computer Modelling of Dynamical Systems, Bd. 30, S. 701–720.
    DOIRISENWBIB
  • Endtmayer, B.; Langer, U.; Schafelner, A. (2024) Goal-oriented adaptive space-time finite element methods for regularized parabolic p-Laplace problems. COMPUT MATH APPL, Bd. 167, S. 286-297.
    DOIRISENWBIB
  • Théodore Cherrière, Sami Hlioui, Luc Laurent (2024) Multimaterial filtering applied to the topology optimization of a permanent magnet synchronous machine. COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Bd. 43 (4), S. 852-870.
    DOIRISENWBIB
  • Gangl, Peter; Nees, Nico; Stingl, Michael (2024) Efficient and Accurate Separable Models for Discretized Material Optimization: A Continuous Perspective Based on Topological Derivatives. J GEOM ANAL, Bd. 34 (7), S. ARTN 206.
    DOIRISENWBIB
  • Langer, Ulrich; Loescher, Richard; Steinbach, Olaf; Yang, Huidong (2024) Mass-lumping discretization and solvers for distributed elliptic optimal control problems. NUMER LINEAR ALGEBR.
    DOIRISENWBIB
  • Brunk, A.; Egger, H.; Oyedeji, T. D.; Yang, Y.; Xu, B. -X. (2024) On existence, uniqueness and stability of solutions to Cahn-Hilliard/Allen-Cahn systems with cross-kinetic coupling. NONLINEAR ANAL-REAL, Bd. 77, S. ARTN 104051.
    DOIRISENWBIB
  • Fritz, Marvin; Suli, Endre; Wohlmuth, Barbara (2024) ANALYSIS OF A DILUTE POLYMER MODEL WITH A TIME-FRACTIONAL DERIVATIVE. SIAM J MATH ANAL, Bd. 56 (2), S. 2063-2089.
    DOIRISENWBIB
  • Jodlbauer, Daniel; Langer, Ulrich; Wick, Thomas; Zulehner, Walter (2024) MATRIX-FREE MONOLITHIC MULTIGRID METHODS FOR STOKES AND GENERALIZED STOKES PROBLEMS. SIAM J SCI COMPUT, Bd. 46 (3), S. A1599-A1627.
    DOIRISENWBIB
  • Radu, Bogdan; Egger, Herbert (2024) A Yee-like finite-element scheme for Maxwell's equations on unstructured grids. IMA J NUMER ANAL, Bd. 00, S. 1–26.
    DOIRISENWBIB
  • Langer, Ulrich; Loescher, Richard; Steinbach, Olaf; Yang, Huidong (2024) An adaptive finite element method for distributed elliptic optimal control problems with variable energy regularization. COMPUT MATH APPL, Bd. 160, S. 1-14.
    DOIRISENWBIB
  • U. Langer, O. Steinbach, and H. Yang (2024) Robust space-time finite element error estimates for parabolic distributed optimal control problems with energy regularization. Advances in Computational Mathematics, Bd. Advances in Computational Mathematics (24), S. 50.
    DOIRISENWBIB
  • Fritz, Marvin (2024) WELL-POSEDNESS AND SIMULATION OF WEAK SOLUTIONS TO THE TIME-FRACTIONAL FOKKER-PLANCK EQUATION WITH GENERAL FORCING. DISCRETE CONT DYN-B.
    DOIRISENWBIB
  • Cherrière, Théodore; Hlioui, Sami; Laurent, Luc; Louf, François; Ahmed, Hamid Ben et al. [..] (2023) Multi-material topology optimization of a flux switching machine. Science and Technology for Energy Transition, Bd. 78 (41), S. 10.
    DOIWebsiteRISENWBIB
  • Gangl, P.; Gfrerer, M. H. (2023) A Unified Approach to Shape and Topological Sensitivity Analysis of Discretized Optimal Design Problems. APPL MATH OPT, Bd. 88 (2), S. ARTN 46.
    DOIRISENWBIB
  • Wagner, Andreas; Schlicke, Pirmin; Fritz, Marvin; Kuttler, Christina; Oden, J Tinsley et al. [..] (2023) A phase-field model for non-small cell lung cancer under the effects of immunotherapy. Mathematical Biosciences and Engineering, Bd. 20 (10), S. 18670 – 18694.
    DOIRISENWBIB
  • Brunk, A.; Egger, H.; Habrich, O.; Lukáčová-Medviďová, M. (2023) A second-order fully-balanced structure-preserving variational discretization scheme for the Cahn–Hilliard–Navier–Stokes system. Mathematical Models and Methods in Applied Sciences, Bd. 33 (12), S. 2587-2627.
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  • Oyedeji, Timileyin David; Yang, Yangyiwei; Egger, Herbert; Xu, Bai-Xiang (2023) Variational quantitative phase-field modeling of nonisothermal sintering process. PHYS REV E, Bd. 108 (2), S. ARTN 025301.
    DOIRISENWBIB
  • Egger, Herbert; Philippi, Nora (2023) A hybrid-dG method for singularly perturbed convection-diffusion equations on pipe networks. ESAIM-MATH MODEL NUM, Bd. 57 (4), S. 2077-2095.
    DOIRISENWBIB
  • Langer, Ulrich; Löscher, Richard; Steinbach, Olaf; Yang, Huidong (2023) Robust finite element discretization and solvers for distributed elliptic optimal control problems. Comput. Methods Appl. Math., Bd. 23 (4), S. 989–1005.
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  • Brunk, Aaron; Egger, Herbert; Habrich, Oliver (2023) On uniqueness and stable estimation of multiple parameters in the Cahn-Hilliard equation. INVERSE PROBL, Bd. 39 (6), S. ARTN 065002.
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  • Brunk, Aaron; Egger, Herbert; Habrich, Oliver; Lukacova-Medvidova, Maria (2023) Stability and discretization error analysis for the Cahn-Hilliard system via relative energy estimates. ESAIM-MATH MODEL NUM, Bd. 57 (3), S. 1297-1322.
    DOIRISENWBIB
  • Ziegler, Anna; Merkel, Melina; Gangl, Peter; Schoeps, Sebastian (2023) On the computation of analytic sensitivities of eigenpairs in isogeometric analysis. COMPUT METHOD APPL M, Bd. 409, S. ARTN 115961.
    DOIRISENWBIB
  • Fritz, Marvin (2023) Tumor evolution models of phase-field type with nonlocal effects and angiogenesis. Bulletin of Mathematical Biology, Bd. 85 (44), S. 1-34.
    DOIRISENWBIB
  • Egger, H.; Giesselmann, J. (2023) Stability and asymptotic analysis for instationary gas transport via relative energy estimates. NUMER MATH.
    DOIRISENWBIB
  • Georgieva, Irina; Hofreither, Clemens (2022) A Newton method for best uniform rational approximation. NUMER ALGORITHMS, Bd. online, S. online.
    DOIRISENWBIB
  • Langer, Ulrich; Schafelner, Andreas (2022) Adaptive space–time finite element methods for parabolic optimal control problems. Journal of Numerical Mathematics, Bd. 30 (4), S. 247-266.
    DOIRISENWBIB
  • Pauly, Dirk; Zulehner, Walter (online: 2022) The elasticity complex: compact embeddings and regular decompositions. Appl. Anal.
    DOIRISENWBIB
  • Egger, H.; Giesselmann, J.; Kunkel, T.; Philippi, N. (2022) An asymptotic-preserving discretization scheme for gas transport in pipe networks. IMA J. Numer. Anal.
    DOIRISENWBIB
  • Gangl, Peter; Sturm, Kevin (2022) Automated computation of topological derivatives with application to nonlinear elasticity and reaction-diffusion problems. Computer Methods in Applied Mechanics and Engineering, Bd. 398, S. 115288.
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  • Gangl, Peter; Köthe, Stefan; Mellak, Christiane; Cesarano, Alessio (2022) Multi-objective free-form shape optimization of a synchronous reluctance machine. COMPEL -- The international journal for computation and mathematics in electrical and electronic engineering, Bd. 41 (5), S. 1849-1864.
    DOIWebsiteRISENWBIB
  • Shashkov, Vsevolod; Cortes Garcia, Idoia; Egger, Herbert (2022) MONA-A magnetic oriented nodal analysis for electric circuits. Int. J. Circuit Theory Appl.
    DOIRISENWBIB
  • Yang, Yangyiwei; Fathidoost, Mozhdeh; Oyedeji, Timileyin David; Bondi, Prasanth; Zhou, Xiandong et al. [..] (2022) A diffuse-interface model of anisotropic interface thermal conductivity and its application in thermal homogenization of composites. Scr. Mater., Bd. 212, S. ARTN 114537.
    DOIRISENWBIB
  • Egger, Herbert; Harutyunyan, Mane; Loescher, Richard; Merkel, Melina; Schoeps, Sebastian (2022) On torque computation in electric machine simulation by harmonic mortar methods. JOURNAL OF MATHEMATICS IN INDUSTRY, Bd. 12 (1), S. ARTN 6.
    DOIRISENWBIB
  • Egger, Herbert; Sabouri, Mania (2021) On the structure preserving high-order approximation of quasistatic poroelasticity. Mathematics and Computers in Simulation, Bd. 189, S. 237-252.
    DOIRISENWBIB
  • Danczul, Tobias; Hofreither, Clemens (2021) On Rational Krylov and Reduced Basis Methods for Fractional Diffusion. Journal of Numerical Mathematics (online), S. online <'http://dx.doi.org/10.1515/jnma-2021-0032'>.
    DOIWebsiteRISENWBIB
  • Dölz, Jürgen; Egger, Herbert; Shashkov, Vsevolod (2021) A fast and oblivious matrix compression algorithm for Volterra integral operators. Advances in Computational Mathematics, Bd. 47, S. 81.
    DOIRISENWBIB
  • Langer, Ulrich; Steinbach, Olaf; Yang, Huidong (2021) Robust Discretization and Solvers for Elliptic Optimal Control Problems with Energy Regularization. Comput. Methods Appl. Math.
    DOIRISENWBIB
  • Takacs, Stefan (online: 2021) Discretization error estimates for discontinuous Galerkin Isogeometric Analysis. Applicable Analysis.
    WebsiteRISENWBIB
  • Hofreither, Clemens (2021) An algorithm for best rational approximation based on barycentric rational interpolation. Numerical Algorithms (88), S. 365-388 <'http://dx.doi.org/10.1007/s11075-020-01042-0'>.
    DOIWebsiteRISENWBIB
  • Doelz, Juergen; Egger, Herbert; Schlottbom, Matthias (2021) A model reduction approach for inverse problems with operator valued data. Numer. Math., Bd. 148, S. 889–917.
    DOIRISENWBIB
  • Schneckenleitner, Rainer; Takacs, Stefan (online: 2021) Convergence theory for IETI-DP solvers for discontinuous Galerkin Isogeometric Analysis that is explicit in h and p. Computational Methods in Applied Mathematics, Bd. online first, S. online first.
    DOIWebsiteRISENWBIB
  • Spiller, Dominik; Brunk, Aaron; Habrich, Oliver; Egger, Herbert; Lukacova-Medvidova, Maria et al. [..] (2021) Systematic derivation of hydrodynamic equations for viscoelastic phase separation. Journal of Physics. Condensed Matter, Bd. 33, S. 364001.
    DOIRISENWBIB
  • Endtmayer, Bernhard; Langer, Ulrich; Wick, Thomas (2021) Reliability and Efficiency of DWR-Type A Posteriori Error Estimates with Smart Sensitivity Weight Recovering. Comput. Methods Appl. Math., Bd. 21 (2), S. 351-371.
    DOIRISENWBIB
  • Hofreither, Clemens; Mitter, Ludwig; Speleers, Hendrik (2021) Local multigrid solvers for adaptive isogeometric analysis in hierarchical spline spaces. IMA Journal of Numerical Analysis (online), S. online <'http://dx.doi.org/10.1093/imanum/drab041'>.
    DOIWebsiteRISENWBIB
  • Langer, Ulrich; Zank, Marco (2021) EFFICIENT DIRECT SPACE-TIME FINITE ELEMENT SOLVERS FOR PARABOLIC INITIAL-BOUNDARY VALUE PROBLEMS IN ANISOTROPIC SOBOLEV SPACES. SIAM J. Sci. Comput., Bd. 43 (4), S. A2714-A2736.
    DOIRISENWBIB
  • Egger, Herbert; Schmidt, Kersten; Shashkov, Vsevolod (2021) Multistep and Runge-Kutta convolution quadrature methods for coupled dynamical systems. ournal of Computational and Applied Mathematics, Bd. 387, S. 112618.
    DOIRISENWBIB
  • Brunk, Aaron; Dünweg, Burkhard; Egger, Herbert; Habrich, Oliver; Lukacova-Medvidova, Maria et al. [..] (2021) Analysis of a viscoelastic phase separation model. Journal of Physics. Condensed Matter, Bd. 33, S. 234002.
    DOIRISENWBIB
  • Shokina, Nina; Teschner, Gabriel; Bauer, Andreas; Tropea, Cameron; Egger, Herbert et al. [..] (2021) Parametric Sequential Method for MRI-based Wall Shear Stress Quantification. IEEE Transactions on Medical Imaging, Bd. 20, S. 1105-1112.
    DOIRISENWBIB
  • Egger, Herbert; Radu, Bogdan (2021) A second order finite element method with mass lumping for Maxwell's equations on tetrahedra. SIAM Journal on Numerical Analysis, Bd. 59, S. 864-885.
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  • Egger, Herbert; Radu, Bogdan (2021) A Second-Order Finite Element Method with Mass Lumping for Maxwell's Equations on Tetrahedra. SIAM Journal on Numererical Analysis, Bd. 59, S. 864-885.
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  • Langer, Ulrich; Steinbach, Olaf; Tröltzsch, Fredi; Yang, Huidong (online: 2021) Space-time finite element discretization of parabolic optimal control problems with energy regularization. SIAM Journal on Numerical Analysis, Bd. 59 (2), S. 675-695.
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  • Langer, Ulrich; Steinbach, Olaf; Tröltzsch, Fredi; Yang, Huidong (online: 2021) Unstructured Space-Time Finite Element Methods for Optimal Control of Parabolic Equations. SIAM Journal on Scientific Computing, Bd. 43 (2), S. A744-A771.
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  • Jodlbauer, D.; Langer, U.; Wick, T. (2020) Matrix-free multigrid solvers for phase-field fracture problems. Comput. Meth. Appl. Mech. Eng., Bd. 372, S. ARTN 113431.
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  • Takacs, Stefan (2020) Fast multigrid solvers for conforming and non-conforming multi-patch Isogeometric Analysis. Comput. Meth. Appl. Mech. Eng., Bd. 371, S. 113301.
    DOIWebsiteRISENWBIB
  • Schneckenleitner, Rainer; Takacs, Stefan (2020) Condition number bounds for IETI-DP methods that are explicit in h and p. Mathematical Models and Methods in Applied Sciences, Bd. 30 (2), S. 2067-2103.
    DOIWebsiteRISENWBIB
  • Beigl, Alexander.; Sogn, Jarle; Zulehner, Walter (2020) Robust Preconditioners for Multiple Saddle Point Problems and Applications to Optimal Control Problems. SIAM Journal on Matrix Analysis and Applications, Bd. 41 (4), S. 1590-1615.
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  • Jodlbauer, Daniel; Langer, Ulrich; Wick, Thomas (2020) Parallel Matrix-Free Higher-Order Finite Element Solvers for Phase-Field Fracture Problems. MATHEMATICAL AND COMPUTATIONAL APPLICATIONS, Bd. 25 (3), S. ARTN 40.
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  • Kyas, S.; Langer, U.; Repin, S. (online: 2019) Space-time isogeometric analysis of parabolic diffusion problems in moving spatial domains. PAMM, Bd. 1 (19).
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  • Bressan, Andrea; Takacs, Stefan (2019) Sum factorization techniques in Isogeometric Analysis. Comput. Meth. Appl. Mech. Eng., Bd. 352, S. 437-460.
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  • Hofer, Christoph; Langer, Ulrich; Neumueller, Martin; Schneckenleitner, Rainer (2019) PARALLEL AND ROBUST PRECONDITIONING FOR SPACE-TIME ISOGEOMETRIC ANALYSIS OF PARABOLIC EVOLUTION PROBLEMS. SIAM J. Sci. Comput., Bd. 41 (3), S. A1793-A1821.
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  • Sogn, Jarle; Takacs, Stefan (2019, online: 2018) Robust multigrid solvers for the biharmonic problem in isogeometric analysis. Computers and Mathematics with Applications, Bd. 77 (1), S. 105 - 124.
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  • Takacs, Stefan (2018) Robust approximation error estimates and multigrid solvers for isogeometric multi-patch discretizations. Mathematical Models and Methods in Applied Sciences, Bd. 28 (10), S. 1899-1928.
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  • Hofer, C.; Langer, U.; Neumüller, M.; Toulopoulos, I. (online: 2018) Time-multipatch discontinuous Galerkin space-time isogeometric analysis of parabolicevolution problems. Electronic Transactions on Numerical Analysis (49), S. 126-150.
    DOIRISENWBIB
  • Langer, Ulrich; Repin, Sergey; Samrowski, Tatiana (2017) A posteriori estimates for a coupled piezoelectric model. Russ. J. Numer. Anal. Math. Model, Bd. 32 (4), S. 259-266.
    DOIRISENWBIB
  • Hofreither, Clemens; Takacs, Stefan (2017) ROBUST MULTIGRID FOR ISOGEOMETRIC ANALYSIS BASED ON STABLE SPLITTINGS OF SPLINE SPACES. SIAM J. Numer. Anal., Bd. 55 (4), S. 2004-2024.
    DOIWebsiteDownloadRISENWBIB
  • TOULOPOULOS, IOANNIS; WICK, THOMAS (2017) NUMERICAL METHODS FOR POWER-LAWDIFFUSION PROBLEMS. SIAM J. SCI. COMPUT., Bd. 39 (3), S. A681-A710.
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  • Lee, Sanghyun; Wheeler, Mary F.; Wick, Thomas (2017) Iterative coupling of flow, geomechanics and adaptive phase-field fracture including level-set crack width approaches. J. Comput. Appl. Math., Bd. 314, S. 40-60.
    DOIRISENWBIB
  • Mantzaflaris, A., Jüttler, B., Khoromskij, B.N., Langer, U. (2017) Low rank tensor methods in Galerkin-based isogeometric analysis. Computer Methods in Applied Mechanics and Engineering, Bd. 316, S. 1062-1085.
    DOIWebsiteDownloadRISENWBIB
  • Hofer, Christoph; Langer, Ulrich (2017) Dual-Primal Isogeometric Tearing and Interconnecting solvers for multipatch dG-IgA equations. Computer Methods in Applied Mechanics and Engineering, Bd. 316, S. 2-21.
    DOIRISENWBIB
  • Hofreither, Clemens; Takacs, Stefan; Zulehner, Walter (2017, online: 2016) A Robust Multigrid Method for Isogeometric Analysis using Boundary Correction. Computer Methods in Applied Mechanics and Engineering, Bd. 316, S. 22-42 <'http://www.sciencedirect.com/science/article/pii/S0045782516301414'>.
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  • N., Bayramov; J., Kraus (online: 2017) Multigrid methods for convection–diffusion problems discretized by a monotone scheme. Computer Methods in Applied Mechanics and Engineering, Bd. 317, S. 723-745.
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  • Koutschan, Christoph; Neumüller, Martin; Radu, Silviu (2016) Inverse Inequality Estimates with Symbolic Computation. Advances in Applied Mathematics, Bd. 80, S. 1-23.
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  • Qingguo, Hong; Johannes, Kraus (online: 2016) Uniformly Stable Discontinuous Galerkin Discretization and Robust Iterative Solution Methods for the Brinkman Problem. SIAM Journal on Numerical Analysis, Bd. 54 (5), S. 2750-2774.
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  • HOFER, CHRISTOPH, and LANGER, ULRICH AND TOULOPOULOS, IOANNIS (2016) DISCONTINUOUS GALERKIN ISOGEOMETRIC ANALYSISOF ELLIPTIC DIFFUSION PROBLEMS ON SEGMENTATIONSWITH GAPS. SIAM J. SCI. COMPUT., Bd. 38 (6), S. A3430–A3460.
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  • Hofer, Christoph and Toulopoulos, Ioannis (2016) Discontinuous Galerkin Isogeometric Analysis of ellipticproblems on segmentations with non-matching interfaces. Computers and Mathematics with Applications, Bd. 72, S. 1811-1827.
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  • Takacs, Stefan; Takacs, Thomas (2016) Approximation error estimates and inverse inequalities for B-splines of maximum smoothness. Math. Models Methods Appl. Sci., Bd. 26 (7), S. 1411-1445 <'http://www.worldscientific.com/doi/abs/10.1142/S0218202516500342'>.
    DOIWebsiteDownloadRISENWBIB
  • Lee, Sanghyun; Wheeler, Mary F.; Wick, Thomas (2016) Pressure and fluid-driven fracture propagation in porous media using an adaptive finite element phase field model. Comput. Meth. Appl. Mech. Eng., Bd. 305, S. 111-132.
    DOIRISENWBIB
  • Wick, Thomas (2016) Coupling fluid-structure interaction with phase-field fracture. Journal of Computational Physics, Bd. 327, S. 67-96.
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  • Wick, Thomas; Frei, Stefan; Richter, Thomas (2016) Long-term simulation of large deformation, mechano-chemical fluid-structure interactions in ALE and fully Eulerian coordinates. Journal of Computational Physics, Bd. 321, S. 874-891.
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  • Lee, S.; Mikelic, A.; Wheeler, M. F.; Wick, T. (2016) Phase-field modeling of proppant-filled fractures in a poroelastic medium. Computer Methods in Applied Mechanics and Engineering, Bd. 312, S. 509-541.
    RISENWBIB
  • Wick, Thomas (2016) Goal functional evaluations for phase-field fracture using PU-based DWR mesh adaptivity. Comput. Mech., Bd. 57 (6), S. 1017-1035.
    DOIRISENWBIB
  • Lee, S.; Wheeler, M. F.; Wick, T.; Srinivasan, S. (2016) Initialization of phase-field fracture propagation in porous media using probability maps of fracture networks. Mechanics Research Communications, Bd. in press, doi:, S. 10.1016/j.mechrescom.2016.04.002.
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  • Ulrich Langer, Ioannis Toulopoulos (2016) Analysis of multipatch discontinuous Galerkin IgA approximations to elliptic boundary value problems. Computing and Visualization in Science, Bd. 17 (5), S. 217–233.
    RISENWBIB
  • Mantzaflaris, A.; Jüttler, B.; Khoromskij, B.; Langer, Ulrich (online: 2016) Low rank tensor methods in galerkin-based isogeometric analysis. Comput. Methods Appl. Mech. Engrg.
    DOIRISENWBIB
  • Hofer, Christoph; Langer, Ulrich (online: 2016) Dual-Primal Isogeometric Tearing and Interconnecting solvers for multipatch dG-IgA equations. Computer Methods in Applied Mechanics and Engineering.
    DOIWebsiteDownloadRISENWBIB
  • J., Kraus; R., Lazarov; M., Lymbery; S., Margenov; L., Zikatanov (online: 2016) Preconditioning Heterogeneous H(div) Problems by Additive Schur Complement Approximation and Applications. SIAM Journal on Scientific Computing, Bd. 38 (2), S. A875-A898.
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  • Q., Hong; J., Kraus; J., Xu; L., Zikatanov (2016) A robust multigrid method for discontinuous Galerkin discretizations of Stokes and linear elasticity equations. Numerische Mathematik, Bd. 132 (1), S. 23-49.
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  • Takacs, Stefan (2015) A robust multigrid method for the time-dependent Stokes problem. SIAM Journal on Numerical Analysis, Bd. 53 (6), S. 2634-2654 <'http://epubs.siam.org/doi/10.1137/140969658'>.
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  • T. Malkmus, ; Růžička, M.; S. Eckstein, ; Toulopoulos, I. Generalizations of SIP Methods to systems with p-structure. IMA Journal of Numerical Analysis., Bd. 2017, S. 00.
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  • Generalizations of SIP Methods to systems with p-structure. IMA Journal of Numerical Analysis., Bd. 2017, S. 00.
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  • Kent-Andre Mardal, Jarle Sogn, Stefan Takacs Robust preconditioning and error estimates for optimal control of the convection-diffusion-reaction equation with limited observation in Isogeometric analysis. SIAM Journal on Numerical Analysis, Bd. 60 (1), S. 195–221.
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Conference Contribution: Publication in Proceedings

  • Dostál, T. Kozubek, A. Klawonn, U. Langer, L. F. Pavarino, and O. B. Wid-; lund J. Šı́stek, editors (2024) Domain Decomposition Methods in Science and Engineering.
    RISENWBIB
  • Ali, Ahmed M. J.; Cherrière, Theodore; Gangl, Peter; Gföhler, Margit; Kapl, Mario (2024) EVALUATION OF MATERIAL MODELS USED IN MULTI-MATERIAL TOPOLOGY OPTIMIZATION. (ECCOMAS 2024); Lisbon.
    RISENWBIB
  • Kaltenbacher, Manfred; Roppert, Klaus; Domenig, Lukas; Egger, Herbert (2022) Comparison of Energy Based Hysteresis Models.
    DOIRISENWBIB
  • Langer, Ulrich; Schafelner, Andreas (2022) Simultaneous Space-Time Finite Element Methods for Parabolic Optimal Control Problems., Large-Scale Scientific Computing (13th International Conference, LSSC 2021, Sozopol, Bulgaria, June 7–11, 2021) In Reihe: Lecture Notes in Computer Science: Springer Cham, S. 314-321.
    DOIRISENWBIB
  • Hofer, Christoph; Takacs, Stefan (2019) A parallel multigrid solver for multi-patch Isogeometric Analysis. In: Apel, Thomas; Langer, Ulrich; Meyer, Arnd; Steinbach, Olaf (Hrsg.), Advanced Finite Element Methods with Applications - Advanced Finite Element Methods with Applications - Selected Papers from the 30th Chemnitz Finite Element Symposium 2017 In Reihe: Lecture Notes in Computational Science and Engineering, Bd. 28: Springer.
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  • Hofer, Christoph; Langer, Ulrich; Takacs, Stefan (2019) Inexact Dual-Primal Isogeometric Tearing and Interconnecting Methods. In: P. E. Bjørstad, S. C. Brenner, L. Halpern, R. Kornhuber, H. H. Kim, T. Rahman, O. B. Widlund (Hrsg.), Domain Decomposition Methods in Science and Engineering XXIV (Domain Decomposition Methods XXIV) In Reihe: Lecture Notes in Computational Science and Engineering, Bd. 28: Springer, S. 397-406.
    DOIDownloadRISENWBIB
  • Takacs, Stefan (2019) Robust multigrid methods for isogeometric discretizations of the Stokes equation. In: P. E. Bjørstad, S. C. Brenner, L. Halpern, R. Kornhuber, H. H. Kim, T. Rahman, O. B. Widlund (Hrsg.), Domain Decomposition Methods in Science and Engineering XXIV (Domain Decomposition Methods XXIV) In Reihe: Lecture Notes in Computational Science and Engineering, Bd. 28: Springer, S. 513-522.
    DOIDownloadRISENWBIB
  • Hofer, Christoph; Langer, Ulrich (2019) Dual-primal isogeometric tearing and interconnecting methods. In: Chetverushkin, B. N.; Fitzgibbon, W.; Kuznetsov, Y.A.; Neittaanmäki, P.; Periaux, J. et al. [..] (Hrsg.), Contributions to Partial Differential Equations and Applications In Reihe: Computational Methods in Applied Sciences, Bd. 47: Springer, S. 273-296.
    DOIRISENWBIB
  • Langer, U.; Neumüller, M.; Toulopoulos, I. Multipatch Space-Time Isogeometric Analysis of Parabolic Diffusion Problems. In: I. Lirkov, S. Margenov (Hrsg.), Large-Scale Scientific Computing In Reihe: 11th International Conference, LSSC 2017, Sozopol, Bulgaria, Revised Papers.
    RISENWBIB
  • Schneckenleitner, R.; Takacs, Stefan IETI-DP for conforming multi-patch Isogeometric Analysis in three dimensions., Domain Decomposition Methods in Science and Engineering XXVI, Bd. 28: Springer.
    DownloadRISENWBIB
  • Schneckenleitner, R.; Takacs, Stefan Towards a IETI-DP Solver on Non-Matching Multi-Patch Domains., Domain Decomposition Methods in Science and Engineering XXVI, Bd. 28: Springer.
    DownloadRISENWBIB
  • T. Cherrière, S. Hlioui, L. Laurent, F. Louf, H. Ben Ahmed, et M. Gabsi, Topology optimization of a complete reluctance machine with no initial information on its geometry. (ICEM 2024); Torino.
    DOIRISENWBIB
  • Dostál, T. Kozubek, A. Klawonn, U. Langer, L. F. Pavarino, and O. B. Wid-; lund J. Šı́stek, editors (2024) Domain Decomposition Methods in Science and Engineering.
    RISENWBIB
  • Ali, Ahmed M. J.; Cherrière, Theodore; Gangl, Peter; Gföhler, Margit; Kapl, Mario (2024) EVALUATION OF MATERIAL MODELS USED IN MULTI-MATERIAL TOPOLOGY OPTIMIZATION. (ECCOMAS 2024); Lisbon.
    RISENWBIB
  • Kaltenbacher, Manfred; Roppert, Klaus; Domenig, Lukas; Egger, Herbert (2022) Comparison of Energy Based Hysteresis Models.
    DOIRISENWBIB
  • Langer, Ulrich; Schafelner, Andreas (2022) Simultaneous Space-Time Finite Element Methods for Parabolic Optimal Control Problems., Large-Scale Scientific Computing (13th International Conference, LSSC 2021, Sozopol, Bulgaria, June 7–11, 2021) In Reihe: Lecture Notes in Computer Science: Springer Cham, S. 314-321.
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  • Hofer, Christoph; Takacs, Stefan (2019) A parallel multigrid solver for multi-patch Isogeometric Analysis. In: Apel, Thomas; Langer, Ulrich; Meyer, Arnd; Steinbach, Olaf (Hrsg.), Advanced Finite Element Methods with Applications - Advanced Finite Element Methods with Applications - Selected Papers from the 30th Chemnitz Finite Element Symposium 2017 In Reihe: Lecture Notes in Computational Science and Engineering, Bd. 28: Springer.
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  • Hofer, Christoph; Langer, Ulrich; Takacs, Stefan (2019) Inexact Dual-Primal Isogeometric Tearing and Interconnecting Methods. In: P. E. Bjørstad, S. C. Brenner, L. Halpern, R. Kornhuber, H. H. Kim, T. Rahman, O. B. Widlund (Hrsg.), Domain Decomposition Methods in Science and Engineering XXIV (Domain Decomposition Methods XXIV) In Reihe: Lecture Notes in Computational Science and Engineering, Bd. 28: Springer, S. 397-406.
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  • Takacs, Stefan (2019) Robust multigrid methods for isogeometric discretizations of the Stokes equation. In: P. E. Bjørstad, S. C. Brenner, L. Halpern, R. Kornhuber, H. H. Kim, T. Rahman, O. B. Widlund (Hrsg.), Domain Decomposition Methods in Science and Engineering XXIV (Domain Decomposition Methods XXIV) In Reihe: Lecture Notes in Computational Science and Engineering, Bd. 28: Springer, S. 513-522.
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  • Hofer, Christoph; Langer, Ulrich (2019) Dual-primal isogeometric tearing and interconnecting methods. In: Chetverushkin, B. N.; Fitzgibbon, W.; Kuznetsov, Y.A.; Neittaanmäki, P.; Periaux, J. et al. [..] (Hrsg.), Contributions to Partial Differential Equations and Applications In Reihe: Computational Methods in Applied Sciences, Bd. 47: Springer, S. 273-296.
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  • Langer, U.; Neumüller, M.; Toulopoulos, I. Multipatch Space-Time Isogeometric Analysis of Parabolic Diffusion Problems. In: I. Lirkov, S. Margenov (Hrsg.), Large-Scale Scientific Computing In Reihe: 11th International Conference, LSSC 2017, Sozopol, Bulgaria, Revised Papers.
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  • Schneckenleitner, R.; Takacs, Stefan IETI-DP for conforming multi-patch Isogeometric Analysis in three dimensions., Domain Decomposition Methods in Science and Engineering XXVI, Bd. 28: Springer.
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  • Schneckenleitner, R.; Takacs, Stefan Towards a IETI-DP Solver on Non-Matching Multi-Patch Domains., Domain Decomposition Methods in Science and Engineering XXVI, Bd. 28: Springer.
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  • T. Cherrière, S. Hlioui, L. Laurent, F. Louf, H. Ben Ahmed, et M. Gabsi, Topology optimization of a complete reluctance machine with no initial information on its geometry. (ICEM 2024); Torino.
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Contribution in Collection

  • B. Endtmayer, U. Langer, T. Richter, A. Schafelner, and T. Wick (2024) A posteriori single- and multi-goal error control and adaptivity for partial differentialequation., S. 19–108.
    RISENWBIB
  • Langer, U.; Loescher, R.; Steinbach, O.; Yang, H. (2024) Robust iterative solvers for algebraic systems arising from elliptic optimal control problem., S. 35-43.
    RISENWBIB
  • Gangl, Peter; Gobrial, Mario; Steinbach, Olaf (2024) A Parallel Space-Time Finite Element Method for the Simulation of an Electric Motor. In: Dostál, Zdeněk; Kozubek, Tomáš; Klawonn, Axel; Langer, Ulrich; Pavarino, Luca F. et al. [..] (Hrsg.), Domain Decomposition Methods in Science and Engineering XXVII; Prague: Springer.
    WebsiteRISENWBIB
  • Mellak, Christiane; Cesarano, Alessio; Gangl, Peter; Deuringer, Josef; Muetze, Annette (2023) Free-Form Rotor Optimization for Synchronous Reluctance Machines used in X-ray Tubes.
    DOIWebsiteDownloadRISENWBIB
  • Gangl, Peter; Krenn, Nepomuk (2023) Topology optimization of a rotating electric machine by the topological derivative., Proceedings in Applied Mathematics and Mechanics; Aachen: Wiley.
    DOIRISENWBIB
  • Egger, Herbert; Shashkov, Vsevolod (2021) On energy preserving high-order discretizations for nonlinear acoustics., Numerical Mathematics and Advanced Applications ENUMATH 2019: Springer, S. 353-362.
    DOIRISENWBIB
  • Egger, Herbert; Radu, Bogdan (2021) A second order finite element method with mass lumping for wave equations in H(div)., Numerical Mathematics and Advanced Applications ENUMATH 2019: Springer, S. 793-802.
    DOIRISENWBIB
  • Langer, U.; Neumüller, M. (2017) Direct and iterative solvers. In: Kaltenbacher, M. (Hrsg.), Computational Acoustics, 579. Aufl.: Springer-Verlag, S. 205-251.
    RISENWBIB
  • Wick, T. (2016) Coupling fluid-structure interaction with phase-field fracture: modeling and a numerical example.
    RISENWBIB
  • Mital, P.; Wick, T.; Wheeler, M.F.; Pencheva, G. (2016) Discontinuous and enriched Galerkin methods for phase-field fracture propagation in elasticity.
    RISENWBIB
  • Hofer, Christoph; Langer, Ulrich (2016) Dual-Primal Isogeometric Tearing and Interconnecting Methods. In: P. Neittanmakki, J. Periaux, O. Pironneau (Hrsg.), Contributions to PDE for Applications: Springer.
    RISENWBIB
  • B. Endtmayer, U. Langer, T. Richter, A. Schafelner, and T. Wick (2024) A posteriori single- and multi-goal error control and adaptivity for partial differentialequation., S. 19–108.
    RISENWBIB
  • Langer, U.; Loescher, R.; Steinbach, O.; Yang, H. (2024) Robust iterative solvers for algebraic systems arising from elliptic optimal control problem., S. 35-43.
    RISENWBIB
  • Gangl, Peter; Gobrial, Mario; Steinbach, Olaf (2024) A Parallel Space-Time Finite Element Method for the Simulation of an Electric Motor. In: Dostál, Zdeněk; Kozubek, Tomáš; Klawonn, Axel; Langer, Ulrich; Pavarino, Luca F. et al. [..] (Hrsg.), Domain Decomposition Methods in Science and Engineering XXVII; Prague: Springer.
    WebsiteRISENWBIB
  • Mellak, Christiane; Cesarano, Alessio; Gangl, Peter; Deuringer, Josef; Muetze, Annette (2023) Free-Form Rotor Optimization for Synchronous Reluctance Machines used in X-ray Tubes.
    DOIWebsiteDownloadRISENWBIB
  • Gangl, Peter; Krenn, Nepomuk (2023) Topology optimization of a rotating electric machine by the topological derivative., Proceedings in Applied Mathematics and Mechanics; Aachen: Wiley.
    DOIRISENWBIB
  • Egger, Herbert; Shashkov, Vsevolod (2021) On energy preserving high-order discretizations for nonlinear acoustics., Numerical Mathematics and Advanced Applications ENUMATH 2019: Springer, S. 353-362.
    DOIRISENWBIB
  • Egger, Herbert; Radu, Bogdan (2021) A second order finite element method with mass lumping for wave equations in H(div)., Numerical Mathematics and Advanced Applications ENUMATH 2019: Springer, S. 793-802.
    DOIRISENWBIB
  • Langer, U.; Neumüller, M. (2017) Direct and iterative solvers. In: Kaltenbacher, M. (Hrsg.), Computational Acoustics, 579. Aufl.: Springer-Verlag, S. 205-251.
    RISENWBIB
  • Wick, T. (2016) Coupling fluid-structure interaction with phase-field fracture: modeling and a numerical example.
    RISENWBIB
  • Mital, P.; Wick, T.; Wheeler, M.F.; Pencheva, G. (2016) Discontinuous and enriched Galerkin methods for phase-field fracture propagation in elasticity.
    RISENWBIB
  • Hofer, Christoph; Langer, Ulrich (2016) Dual-Primal Isogeometric Tearing and Interconnecting Methods. In: P. Neittanmakki, J. Periaux, O. Pironneau (Hrsg.), Contributions to PDE for Applications: Springer.
    RISENWBIB

Habilitation

  • Takacs, Stefan (2020) Robust multigrid solvers and related topics., Institut für Numerische Mathematuk, Universität Linz, Linz.
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  • Hofreither, Clemens (2020) Fast algorithms for tensor product discretizations in Isogeometric Analysis and beyond., Johannes Kepler Universität Linz, Linz.
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Editorship

  • (2019) Advanced Finite Element Methods with Applications: Selected Papers from the 30th Chemnitz Finite Element Symposium 2017. In Reihe: Lecture Notes in Computational Science and Engineering; Cham: Springer Nature Switzerland AG.
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  • (2019) Maxwell's Equations: Analysis and Numerics. In Reihe: Radon Series on Computational and Applied Mathematics; Berlin: de Gruyter.
    RISENWBIB
  • (2019) Space-time Methods. In Reihe: Radon Series on Computational and Applied Mathematics; Berlin: de Gruyter.
    RISENWBIB
  • (2019) Advanced Finite Element Methods with Applications: Selected Papers from the 30th Chemnitz Finite Element Symposium 2017. In Reihe: Lecture Notes in Computational Science and Engineering; Cham: Springer Nature Switzerland AG.
    RISENWBIB
  • (2019) Maxwell's Equations: Analysis and Numerics. In Reihe: Radon Series on Computational and Applied Mathematics; Berlin: de Gruyter.
    RISENWBIB
  • (2019) Space-time Methods. In Reihe: Radon Series on Computational and Applied Mathematics; Berlin: de Gruyter.
    RISENWBIB