Thomas Takacs

Dr.

Thomas Takacs

Dr.

Group Leader, Senior Research Scientist
Geometry in Simulations

0043 732 2468 5220
Thomas.Takacs(at)ricam.oeaw.ac.at

https://orcid.org/0000-0001-9335-4577

Biographical sketch

2009: Bachelor degree in Technical Mathematics, Johannes Kepler University Linz, Austria.
2010: Master degree in Industrial Mathematics, Johannes Kepler University Linz, Austria.
2013: Doctoral degree in Technical Sciences, Johannes Kepler University Linz, Austria.
2018-2019: Project leader of the Scientific & Technological Cooperation of the OeAD together with the ARRS (Slovenia), “Splines in geometric design and numerical analysis”, co-leader Marjeta Knez (University of Ljubljana).
2018-2022: Project leader of the FWF stand-alone project P 30926-NBL, “Weak and approximate C 1-smoothness in isogeometric analysis”.
2020-2022: Project leader of the LIT project LIT-2019-8-SEE-116, “PARTITION - PDE aware isogeometric discretization based on neural networks”.
2021: Habilitation in Mathematics, Johannes Kepler University Linz, Austria.
Since 2024: Project leader of the FWF stand-alone project P 37177 “Isogeometric multi-patch shells and multigrid solvers”.

Former and Current Positions

2010 - 2011: Research Assistant (PhD position), doctoral college Computational Mathematics, Johannes Kepler University Linz, Austria.
2011 - 2014: University Assistant (PhD position), Institute of Applied Geometry, Johannes Kepler University Linz, Austria.
2014 - 2016: Research Fellow (Post-Doc), Department of Mathematics, University Pavia, Italy.
2016 - 2022: University Assistant (Post-Doc), Institute of Applied Geometry, Johannes Kepler University Linz, Austria.
Since 2022: Senior Research Scientist, RICAM, Linz, Austria.
10/2024 - 03/2025: Parental leave

Research interests

Multi-patch discretizations, unstructured spline spaces and manifold splines for IGA
Adaptivity in IGA and high-order FEM
Problem-specific optimization of isogeometric discretizations
Spline-based constructions for thin shells
Robust and efficient isogeometric solvers

Publications

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.
DOI RIS ENW BIB
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.
DOI RIS ENW BIB
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.
RIS ENW BIB
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.
RIS ENW BIB
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.
DOI RIS ENW BIB
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.
RIS ENW BIB
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.
RIS ENW BIB
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. .
DOI RIS ENW BIB
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.
DOI RIS ENW BIB
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.
DOI RIS ENW BIB

Complete publication list

Peer reviewed journal publications

T. Takacs. Approximation properties over self-similar meshes of curved finite elements and applications to subdivision based isogeometric analysis. Computer Aided Geometric Design, 116: 102413, 2025
https://doi.org/10.1016/j.cagd.2025.102413
D. Rios, F. Scholz and T. Takacs. Adaptive optimization of isogeometric multi-patch discretizations using artificial neural networks. Computer Methods in Applied Mechanics and Engineering, 432(B): 117400, 2024
https://doi.org/10.1016/j.cma.2024.117400
H. M. Verhelst, P. Weinmüller, A. Mantzaflaris, T. Takacs and D. Toshniwal. A comparison of smooth basis constructions for isogeometric analysis. Computer Methods in Applied Mechanics and Engineering, 419: 116659, 2024.
https://doi.org/10.1016/j.cma.2023.116659
J. Grošelj, M. Kapl, M. Knez, T. Takacs and V. Vitrih. $C^1$-smooth isogeometric spline functions of general degree over planar mixed meshes: The case of two quadratic mesh elements. Applied Mathematics and Computation, 460: 128278, 2024.
https://doi.org/10.1016/j.amc.2023.128278
A. Farahat, B. Jüttler, M. Kapl and T. Takacs. Isogeometric analysis with $C^1$-smooth functions over multi-patch surfaces. Computer Methods in Applied Mechanics and Engineering, 403(A): 115706, 2023.
https://doi.org/10.1016/j.cma.2022.115706
T. Takacs and D. Toshniwal. Almost-$C^1$ splines: Biquadratic splines on unstructured quadrilateral meshes and their application to fourth order problems. Computer Methods in Applied Mechanics and Engineering, 403(A): 115640, 2023.
https://doi.org/10.1016/j.cma.2022.115640
P. Weinmüller and T. Takacs. An approximate $C^1$ multi-patch space for isogeometric analysis with a comparison to Nitsche's method. Computer Methods in Applied Mechanics and Engineering, 401(B): 115592, 2022.
https://doi.org/10.1016/j.cma.2022.115592
C. L. Chan, F. Scholz and T. Takacs. Locally refined quad meshing for linear elasticity problems based on convolutional neural networks. Engineering with Computers, 2022.
https://doi.org/10.1007/s00366-022-01677-8
R. Maier, P. Morgenstern and T. Takacs. Adaptive refinement for unstructured T-splines with linear complexity. Computer Aided Geometric Design, 96: 102117, 2022.
https://doi.org/10.1016/j.cagd.2022.102117
M. Kapl, G. Sangalli and T. Takacs. A family of $C^1$ quadrilateral finite elements. Advances in Computational Mathematics, 47: 82, 2021.
https://doi.org/10.1007/s10444-021-09878-3
P. Weinmüller and T. Takacs. Construction of approximate $C^1$ bases for isogeometric analysis on two-patch domains. Computer Methods in Applied Mechanics and Engineering, 385: 114017, 2021.
https://doi.org/10.1016/j.cma.2021.114017
S. Kargaran, B. Jüttler and T. Takacs. IGA using offset-based overlapping domain parameterizations. Computer-Aided Design, 139: 103087, 2021.
https://doi.org/10.1016/j.cad.2021.103087
S. Sajavičius and T. Takacs. Imposing nonlocal boundary conditions in Galerkin-type methods based on non-interpolatory functions. Computers & Mathematics with Applications, 80(12): 2877–2895, 2020.
https://doi.org/10.1016/j.camwa.2020.09.016
J. Grošelj, M. Kapl, M. Knez, T. Takacs and V. Vitrih. A super-smooth $C^1$ spline space over planar mixed triangle and quadrilateral meshes. Computers & Mathematics with Applications, 80(12): 2623–2643, 2020.
https://doi.org/10.1016/j.camwa.2020.10.004
M. Kapl, G. Sangalli and T. Takacs. Isogeometric analysis with $C^1$ functions on planar, unstructured quadrilateral meshes. The SMAI journal of computational mathematics, Volume S5: p. 67-86, 2019.
https://doi.org/10.5802/smai-jcm.52
S. Kargaran, B. Jüttler, S. K. Kleiss, A. Mantzaflaris and T. Takacs. Overlapping multi-patch structures in isogeometric analysis. Computer Methods in Applied Mechanics and Engineering, 356: 325–353, 2019.
https://doi.org/10.1016/j.cma.2019.07.010
M. Kapl, G. Sangalli and T. Takacs. An isogeometric $C^1$ subspace on unstructured multi-patch planar domains. Computer Aided Geometric Design, 69: 55–75, 2019.
https://doi.org/10.1016/j.cagd.2019.01.002
M. Kapl, G. Sangalli and T. Takacs. Construction of analysis-suitable $G^1$ planar multi-patch parameterizations. Computer-Aided Design, 97: 41–55, 2018.
https://doi.org/10.1016/j.cad.2017.12.002
M. Kapl, G. Sangalli and T. Takacs. Dimension and basis construction for analysis-suitable $G^1$ two-patch parameterizations. Computer Aided Geometric Design, 52: 75–89, 2017.
https://doi.org/10.1016/j.cagd.2017.02.013
G. Dong, B. Jüttler, O. Scherzer and T. Takacs. Convergence of Tikhonov regularization for solving ill-posed operator equations with solutions defined on surfaces. Inverse Problems and Imaging, 11(2): 221–246, 2017.
https://doi.org/10.3934/ipi.2017011
A. Collin, G. Sangalli and T. Takacs. Analysis-suitable $G^1$ geometry parametrizations for isogeometric analysis. Computer Aided Geometric Design, 47: 93–113, 2016.
https://doi.org/10.1016/j.cagd.2016.05.009
G. Sangalli, T. Takacs and R. V\'azquez. Unstructured spline spaces for isogeometric analysis based on spline manifolds. Computer Aided Geometric Design, 47: 61–82, 2016.
https://doi.org/10.1016/j.cagd.2016.05.004
S. Takacs and T. Takacs. Approximation error estimates and inverse inequalities for B-splines of maximum smoothness. Mathematical Models and Methods in Applied Sciences, 26: 1411–1445, 2016.
https://doi.org/10.1142/S0218202516500342
T. Takacs, B. Jüttler and O. Scherzer. Derivatives of isogeometric functions on $n$-dimensional rational patches in $\mathbb{R}^d$. Computer Aided Geometric Design, 31(7-8): 567–581, 2014.
https://doi.org/10.1016/j.cagd.2014.06.005
T. Takacs and B. Jüttler. ${H}^2$ regularity properties of singular parameterizations in isogeometric analysis. Graphical Models, 74(6): 361–372, 2012.
https://doi.org/10.1016/j.gmod.2012.05.006
T. Takacs and B. Jüttler. Existence of stiffness matrix integrals for singularly parameterized domains inisogeometric analysis. Computer Methods in Applied Mechanics and Engineering, 200(49-52): 3568–3582, 2011.
https://doi.org/10.1016/j.cma.2011.08.023

Conference contribution: Publication in proceedings

A. Bressan and T. Takacs. A bound on the number of lines through a point in the Wang–Shi split. Lanini, M., Manni, C., Schenck, H. (eds) Approximation Theory and Numerical Analysis Meet Algebra, Geometry, Topology, Springer INdAM Series, 60, 85–95, 2024.
https://doi.org/10.1007/978-981-97-6508-9_4
Q. Zhang, T. Takacs and F. Cirak. Manifold-based B-splines on unstructured meshes. In: Isogeometric Analysis and Applications 2018, Springer, 217–235, 2021.
https://doi.org/10.1007/978-3-030-49836-8_12
T. Takacs. Construction of smooth isogeometric function spaces on singularly parameterized domains. In J.-D. Boissonnat et al. (Eds.): Curves and Surfaces 2014, Springer, LNCS 9213, 433–451, 2015.
https://doi.org/10.1007/978-3-319-22804-4_30
T. Takacs and B. Jüttler. Derivatives of isogeometric test functions. In: Proc. Mathematics of Surfaces XIV, IMA, pp 345–364 (on CD), 2013.
T. Takacs. Singularities in isogeometric analysis. In B.H.V. Topping, (Editor): Proceedings of the Eighth International Conference on Engineering Computational Technology, Civil-Comp Press, Stirlingshire, UK, Paper 45, 2012.

Contribution in collection

T. J. R. Hughes, G. Sangalli, T. Takacs and D. Toshniwal. Smooth multi-patch discretizations in Isogeometric Analysis. In Geometric Partial Differential Equations - Part II, Handbook of Numerical Analysis, Volume 22, 467–543, 2021.
https://doi.org/10.1016/bs.hna.2020.09.002

Editorship

T. Takacs, W. Xu, X. Li. Special Issue of the 16th International Conference on Geometric Modeling and Processing (GMP2022), Computer Aided Geometric Design, Elsevier, 2022.

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People

Thomas Takacs

Thomas Takacs

Biographical sketch

Former and Current Positions

Research interests

Publications

Complete publication list

Peer reviewed journal publications

Conference contribution: Publication in proceedings

Contribution in collection

Editorship

RICAM

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