Peer Reviewed Journal Publication

  • On choosing interpolation domains and functions in topology optimization of multi-scale structures: a comparative study. / Ali, Ahmed Mohamed Jubartalla; Altassan, Abdulmajeed; Cherriere, Theodore et al.
    in: Structural and Multidisciplinary Optimization, Jahrgang 68, Nr. 6, 112, 06.2025.
  • Approximation properties over self-similar meshes of curved finite elements and applications to subdivision based isogeometric analysis. / Takacs, Thomas.
    in: Computer Aided Geometric Design, Jahrgang 2025, Nr. 116, 10.02.2025.
  • Topology and shape optimization of 3D prestressed concrete structures. / Shakur, Emad; Shaked, Adaya; Amir, Oded.
    in: Engineering Structures, Nr. 321, 15.12.2024, S. 118936.
  • Adaptive optimization of isogeometric multi-patch discretizations using artificial neural networks. / Rios, Dany; Scholz, Felix; Takacs, Thomas.
    in: Computer Methods in Applied Mechanics and Engineering, Jahrgang 432, 01.12.2024, S. ARTN 117400.
  • Adaptive methods with C1 1 splines for multi-patch surfaces and shells. / Bracco, Cesare; Farahat, Andrea; Giannelli, Carlotta et al.
    in: Computer Methods in Applied Mechanics and Engineering, Jahrgang 431, 01.11.2024, S. ARTN 117287.
  • Adaptive optimization of isogeometric multi-patch discretizations using artificial neural networks. / Takacs, Thomas; Rios Rodas, Dany Esteban; Scholz, Felix.
    in: Computer Methods in Applied Mechanics and Engineering, Jahrgang 2024, Nr. 432(B), 27.09.2024.
  • A locally based construction of analysis-suitable G 1 multi-patch spline surfaces. / Farahat, Andrea; Kapl, Mario; Kosmac, Aljaz et al.
    in: Computers and Mathematics with Applications, Jahrgang 168, 15.08.2024, S. 46-57.
  • Isogeometric analysis for solving discontinuous two-phase engineering problems with precise and explicit interface representation. / Shakur, Emad.
    in: Engineering with Computers, Jahrgang 40, Nr. 6, 30.03.2024, S. 3561-3594.
  • A comparison of smooth basis constructions for isogeometric analysis. / Hugo, M; Verhelst, Pascal Weinmüller; Mantzaflaris, Angelos et al.
    in: Computer Methods in Applied Mechanics and Engineering, Jahrgang 419, 01.02.2024, S. 116659.
  • C1-smooth isogeometric spline functions of general degree over planar mixed meshes: The case of two quadratic mesh elements. / Grošelj, Jan; Kapl, Mario; Knez, Marjeta et al.
    in: Applied Mathematics and Computation, Jahrgang 460, 128278, 01.01.2024.
  • Isogeometric analysis for multi-patch structured Kirchhoff-Love shells. / Farahat, Andrea; Verhelst, Hugo M; Kiendl, Josef et al.
    in: Computer Methods in Applied Mechanics and Engineering, Jahrgang 411, 01.06.2023, S. ARTN 116060.
  • Almost-C1 splines: Biquadratic splines on unstructured quadrilateral meshes and their application to fourth order problems. / Takacs, Thomas; Toshniwal, Deepesh.
    in: Computer Methods in Applied Mechanics and Engineering, Jahrgang 403A, 01.01.2023, S. 115640.
  • Isogeometric analysis with C1-smooth functions over multi-patch surfaces. / Farahat, Andrea; Jüttler, Bert; Kapl, Mario et al.
    in: Computer Methods in Applied Mechanics and Engineering, Jahrgang 403A, 01.01.2023, S. 115706.
  • An unrefinement algorithm for planar THB-spline parameterizations. / Heydarov, Teymur; Buffa, Annalisa; Jüttler, Bert.
    in: Computer Aided Geometric Design, Jahrgang 99, 06.10.2022, S. 102157.
  • An approximate C1 multi-patch space for isogeometric analysis with a comparison to Nitsche’s method. / Weinmüller, Pascal; Takacs, Thomas.
    in: Computer Methods in Applied Mechanics and Engineering, Jahrgang 401, 28.09.2022, S. 115592.
  • Locally refined quad meshing for linear elasticity problems based on convolutional neural networks. / Chan, Chiu Ling; Scholz, Felix; Takacs, Thomas.
    in: Engineering with Computers, 28.06.2022.
  • Locally refined quad meshing for linear elasticity problems based on convolutional neural networks. / Chan, Chiu Ling; Scholz, Felix; Takacs, Thomas.
    in: Engineering with Computers, 28.06.2022, S. .
  • Adaptive refinement for unstructured T-splines with linear complexity. / Maier, Roland; Morgenstern, Philipp; Takacs, Thomas.
    in: Computer Aided Geometric Design, Jahrgang 96, 15.06.2022, S. ARTN 102117.
  • Adaptive refinement for unstructured T-splines with linear complexity. / Maier, Roland; Morgenstern, Philipp; Takacs, Thomas.
    in: Computer Aided Geometric Design, Jahrgang 96, 03.06.2022, S. 102117.
  • Stress-constrained topology optimization with precise and explicit geometric boundaries. / Shakur, Emad; Amir, Oded.
    in: Structural and Multidisciplinary Optimization, Jahrgang 65, Nr. 2, 18.01.2022, S. 1--21.
  • Efficient matrix computation for isogeometric discretizations with hierarchical B-splines in any dimension. / Pan, Maodong; Juettler, Bert; Scholz, Felix.
    in: Computer Methods in Applied Mechanics and Engineering, Jahrgang 388, 01.01.2022, S. ARTN 114210.
  • A family of C-1 quadrilateral finite elements. / Kapl, Mario; Sangalli, Giancarlo; Takacs, Thomas.
    in: Advances in Computational Mathematics, Jahrgang 47, Nr. 6, 15.12.2021, S. ARTN 82.
  • Topology optimization of damage‐resistant structures with a predefined load‐bearing capacity. / Barbier, Tobias; Shakour, Emad; Sigmund, Ole et al.
    in: International Journal for Numerical Methods in Engineering, Jahrgang 124, Nr. 4, 26.11.2021, S. 1114-1145.
  • USING HIGH-ORDER TRANSPORT THEOREMS FOR IMPLICITLY DEFINED MOVING CURVES TO PERFORM QUADRATURE ON PLANAR DOMAINS. / Scholz, Felix; Juettler, Bert.
    in: SIAM Journal on Numerical Analysis, Jahrgang 59, Nr. 4, 15.06.2021, S. 2138-2162.
  • C-s-smooth isogeometric spline spaces over planar bilinear multi-patch parameterizations. / Kapl, Mario; Vitrih, Vito.
    in: Advances in Computational Mathematics, Jahrgang 47, Nr. 3, 15.06.2021, S. ARTN 47.
  • Parameterization for polynomial curve approximation via residual deep neural networks. / Scholz, Felix; Juettler, Bert.
    in: Computer Aided Geometric Design, Jahrgang 85, 15.02.2021, S. ARTN 101977.
  • A super-smooth C1 spline space over planar mixed triangle and quadrilateral meshes. / Grošelj, Jan; Kapl, Mario; Knez, Marjeta et al.
    in: Computers and Mathematics with Applications, Jahrgang 80, Nr. 12, 15.12.2020, S. 2623-2643.
  • Isogeometric analysis with C1 hierarchical functions on planar two-patch geometries. / Bracco, Cesare; Giannelli, Carlotta; Kapl, Mario et al.
    in: Computers and Mathematics with Applications, Jahrgang 80, Nr. 11, 01.12.2020, S. 2538-2562.
  • Fast formation of isogeometric Galerkin matrices via integration by interpolation and look-up. / Pan, Maodong; Jüttler, Bert; Giust, Alessandro.
    in: Computer Methods in Applied Mechanics and Engineering, Jahrgang 366, 01.07.2020, S. 113005.
  • Isogeometric collocation on planar multi-patch domains. / Kapl, Mario; Vitrih, Vito.
    in: Computer Methods in Applied Mechanics and Engineering, Jahrgang 360, 01.03.2020, S. 112684.
  • Isogeometric analysis with C1 functions on planar, unstructured quadrilateral meshes. / Kapl, Mario; Sangalli, Giancarlo; Takacs, Thomas.
    in: SMAI Journal of Computational Mathematics, Jahrgang S5, 01.02.2020, S. 67-86.
  • Numerical integration on trimmed three-dimensional domains with implicitly defined trimming surfaces. / Scholz, Felix; Jüttler, Bert.
    in: Computer Methods in Applied Mechanics and Engineering, Jahrgang 357, 01.12.2019, S. 112577.
  • Solving the triharmonic equation over multi-patch planar domains using isogeometric analysis. / Kapl, Mario; Vitrih, Vito.
    in: Journal of Computational and Applied Mathematics, Jahrgang 358, 01.10.2019, S. 385-404.
  • The space of C1-smooth isogeometric spline functions on trilinearly parameterized volumetric two-patch domains. / Birner, Katharina; Kapl, Mario.
    in: Computer Aided Geometric Design, Jahrgang 70, 26.03.2019, S. 16-30.
  • An isogeometric C1 subspace on unstructured multi-patch planar domains. / Kapl, Mario; Sangalli, Giancarlo; Takacs, Thomas.
    in: Computer Aided Geometric Design, Jahrgang 69, 15.02.2019, S. 55-75.
  • Low-Rank Space-Time Decoupled Isogeometric Analysis for Parabolic Problems with Varying Coefficients. / Mantzaflaris, Angelos; Scholz, Felix; Toulopoulos, Ioannis.
    in: Computational Methods in Applied Mathematics, Jahrgang 19(1), 01.01.2019, S. 123-136.
  • Partial tensor decomposition for decoupling isogeometric Galerkin discretizations. / Scholz, Felix; Mantzaflaris, Angelos; Jüttler, Bert.
    in: Computer Methods in Applied Mechanics and Engineering, Jahrgang 336, 01.07.2018, S. 485-506.
  • Dimension and basis construction for C2-smooth isogeometric spline spaces over bilinear-like G2 two-patch parameterizations. / Kapl, Mario; Vito, Vitrih.
    in: Journal of Computational and Applied Mathematics, Jahrgang 335, 15.06.2018, S. 289-311.
  • Construction of analysis-suitable G1 planar multi-patch parameterizations. / Kapl, Mario; Sangalli, Giancarlo; Takacs, Thomas.
    in: CAD Computer Aided Design, Jahrgang 97, 15.04.2018, S. 41-55.
  • Space of C2-smooth geometrically continuous isogeometric functions on planar multi-patch geometries: Dimension and numerical experiments. / Kapl, Mario; Vitrih, Vito.
    in: Computers and Mathematics with Applications, Jahrgang 73, Nr. 10, 15.05.2017, S. 2319-2338.
  • Dimension and basis construction for analysis-suitable G1 two-patch parameterizations. / Kapl, Mario; Sangalli, Giancarlo; Takacs, Thomas.
    in: Computer Aided Geometric Design, Jahrgang 52-53, 01.03.2017, S. 75-89.
  • Space of C2-smooth geometrically continuous isogeometric functions on two-patch geometries. / Kapl, Mario; Vitrih, Vito.
    in: Computers and Mathematics with Applications, Jahrgang 73, Nr. 1, 15.01.2017, S. 37–59.
  • Isogeometric analysis with geometrically continuous functions on planar multi- patch geometries. / Kapl, M; Buchegger, F; Bercovier, M et al.
    in: Computer Methods in Applied Mechanics and Engineering, Jahrgang 316, 01.01.2017, S. 209-234.
  • Isogeometric analysis with geometrically continuous functions on two-patch geometries. / Kapl, M; Vito, V; Jüttler, B et al.
    in: Computers and Mathematics with Applications, Jahrgang 70, 01.10.2015, S. 1518-1538.
  • Isogeometric segmentation: The case of contractible solids without non-convex edges. / Jüttler, B; Kapl, M; Nguyen, M et al.
    in: CAD Computer Aided Design, Jahrgang 57, 01.12.2014, S. 74-90.
  • Total curvature variation fairing for medial axis regularization. / Buchegger, F; Jüttler, B; Kapl, M.
    in: Graphical Models, Jahrgang 76, 01.11.2014, S. 633-647.
  • Parameterization for polynomial curve approximation via residual deep neural networks. / Jüttler, Bert; Scholz, Felix.
    in: N/A, Jahrgang 85, Nr. 101977, 10.03.2021.
  • Efficient matrix assembly in isogeometric analysis with hierarchical B-splines. / Pan, Maodong; Jüttler, Bert; Mantzaflaris, Angelos.
    in: ournal of Computational and Applied Mathematics, Jahrgang 390, Nr. 113278, 30.09.2020.
  • A super-smooth C1 spline space over mixed triangle and quadrilateral meshes. / Groselj, Jan; Kapl, Mario; Knez, Marjeta et al.
    in: Computers and Mathematics with Applications, 05.10.2020.

Conference Contribution: Publication in Proceedings

  • Multiresolution Analysis for Implicitly Defined Algebraic Spline Curves with Weighted Wavelets. / Kapl, Mario; Jüttler, Bert; M, Neamtu and L (Herausgeber:in).
    Approximation Theory 12: San Antonio 2007. Nashboro Press, 2008.

Contribution in Collection

  • A Bound on the Number of Lines Through a Point in the Wang-Shi Split. / Bressan, Andrea; Takacs, Thomas.
    INdAM Meeting: Approximation Theory and Numerical Analysis meet Algebra, Geometry, Topology. Springer, 2024. (Springer IndAM Series).
  • First Order Error Correction for Trimmed Quadrature in Isogeometric Analysis. / Scholz, Felix; Mantzaflaris, Angelos; Jüttler, Bert et al.
    Advanced Finite Element Methods with Applications. Springer International Publishing, 2019. (Lecture Notes in Computational Science and Engineering).

Dissertation

  • Efficient Matrix Assembly for Isogeometric Analysis. / Scholz, Felix.
    Johannes Kepler University Linz, 2019.
  • Using Neural Networks to Generate and Optimize Parameterizations of Point Data for Fitting Spline Curves and Surfaces. / Rios Rodas, Dany Esteban.
    Linz: JKU Linz, 2023.
  • Efficient Matrix Assembly for Isogeometric Analysis. / Scholz, Felix; Apel, Thomas (Herausgeber:in); Langer, Ulrich (Herausgeber:in) et al.
    Springer International Publishing Johannes Kepler Universität Linz, 2019.

Habilitation

  • Smooth isogeometric spline spaces for multi-patch geometries. / Kapl, Mario.
    2020.

Editorship