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ORCIDThomas P. Wihler
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2020 – today
- 2024
[i10]Yanchen He, Paul Houston, Christoph Schwab, Thomas P. Wihler:
Exponential Convergence of hp-ILGFEM for semilinear elliptic boundary value problems with monomial reaction. CoRR abs/2404.18569 (2024)- 2023
- [j32]Mario Amrein, Pascal Heid
, Thomas P. Wihler:
A Numerical Energy Reduction Approach for Semilinear Diffusion-Reaction Boundary Value Problems Based on Steady-State Iterations. SIAM J. Numer. Anal. 61(2): 755-783 (2023) - [i9]Patrick Bammer, Andreas Schröder, Thomas P. Wihler:
An hp-adaptive strategy based on locally predicted error reductions. CoRR abs/2311.13255 (2023) - 2022
- [j31]Stephen Metcalfe, Thomas P. Wihler:
Conditional A Posteriori Error Bounds for High Order Discontinuous Galerkin Time Stepping Approximations of Semilinear Heat Models with Blow-up. SIAM J. Sci. Comput. 44(3): 1337- (2022) - [i8]Thomas P. Wihler:
The Sassenfeld criterion revisited. CoRR abs/2201.05628 (2022) - [i7]Mario Amrein, Pascal Heid, Thomas P. Wihler:
A numerical energy minimisation approach for semilinear diffusion-reaction boundary value problems based on steady state iterations. CoRR abs/2202.07398 (2022) - 2021
- [j30]Pascal Heid, Dirk Praetorius, Thomas P. Wihler:
Energy Contraction and Optimal Convergence of Adaptive Iterative Linearized Finite Element Methods. Comput. Methods Appl. Math. 21(2): 407-422 (2021) - [j29]Pascal Heid, Benjamin Stamm, Thomas P. Wihler:
Gradient flow finite element discretizations with energy-based adaptivity for the Gross-Pitaevskii equation. J. Comput. Phys. 436: 110165 (2021) - [j28]Emmanuil H. Georgoulis, Omar Lakkis, Thomas P. Wihler:
A posteriori error bounds for fully-discrete hp-discontinuous Galerkin timestepping methods for parabolic problems. Numerische Mathematik 148(2): 363-386 (2021) - [j27]Pascal Heid, Thomas P. Wihler:
Adaptive Local Minimax Galerkin Methods for Variational Problems. SIAM J. Sci. Comput. 43(2): A1108-A1133 (2021) - [i6]Pascal Heid, Thomas P. Wihler:
A modified Kačanov iteration scheme with application to quasilinear diffusion models. CoRR abs/2101.10137 (2021) - [i5]Stephen Metcalfe, Thomas P. Wihler:
Conditional a posteriori error bounds for high order DG time stepping approximations of semilinear heat models with blow-up. CoRR abs/2105.03463 (2021) - 2020
- [j26]Thomas P. Wihler, Marcel Wirz:
Stability and Convergence of Spectral Mixed Discontinuous Galerkin Methods for 3D Linear Elasticity on Anisotropic Geometric Meshes. J. Sci. Comput. 82(2): 49 (2020) - [j25]Pascal Heid, Thomas P. Wihler:
Adaptive iterative linearization Galerkin methods for nonlinear problems. Math. Comput. 89(326): 2707-2734 (2020) - [i4]Pascal Heid, Thomas P. Wihler:
Adaptive local minimax Galerkin methods for variational problems. CoRR abs/2002.06915 (2020) - [i3]Pascal Heid, Dirk Praetorius, Thomas P. Wihler:
A note on energy contraction and optimal convergence of adaptive iterative linearized finite element methods. CoRR abs/2007.10750 (2020)
2010 – 2019
- 2019
- [j24]Lars Schmutz, Thomas P. Wihler:
The Variable-Order Discontinuous Galerkin Time Stepping Scheme for Parabolic Evolution Problems is Uniformly L∞-Stable. SIAM J. Numer. Anal. 57(1): 293-319 (2019) - [i2]Pascal Heid, Benjamin Stamm, Thomas P. Wihler:
Gradient Flow Finite Element Discretizations with Energy-Based Adaptivity for the Gross-Pitaevskii Equation. CoRR abs/1906.06954 (2019) - [i1]Thomas P. Wihler, Marcel Wirz:
Stability and Convergence of Spectral Mixed Discontinuous Galerkin Methods for 3D Linear Elasticity on Anisotropic Geometric Meshes. CoRR abs/1908.04647 (2019) - 2018
- [j23]Ramona Baumann, Thomas P. Wihler:
A Nitsche Finite Element Approach for Elliptic Problems with Discontinuous Dirichlet Boundary Conditions. Comput. Methods Appl. Math. 18(3): 373-381 (2018) - [j22]Irene Kyza, Stephen Metcalfe, Thomas P. Wihler:
hp-Adaptive Galerkin Time Stepping Methods for Nonlinear Initial Value Problems. J. Sci. Comput. 75(1): 111-127 (2018) - [j21]Paul Houston, Thomas P. Wihler:
An hp-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems. Math. Comput. 87(314): 2641-2674 (2018) - [j20]Bärbel Holm, Thomas P. Wihler:
Continuous and discontinuous Galerkin time stepping methods for nonlinear initial value problems with application to finite time blow-up. Numerische Mathematik 138(3): 767-799 (2018) - 2017
- [j19]Scott Congreve, Thomas P. Wihler:
Iterative Galerkin discretizations for strongly monotone problems. J. Comput. Appl. Math. 311: 457-472 (2017) - 2016
- [j18]Paul Houston, Thomas P. Wihler:
Adaptive energy minimisation for hp-finite element methods. Comput. Math. Appl. 71(4): 977-990 (2016) - [j17]Dominik Schötzau, Christoph Schwab, Thomas P. Wihler:
hp-dGFEM for second-order mixed elliptic problems in polyhedra. Math. Comput. 85(299): 1051-1083 (2016) - 2015
- [j16]Mario Amrein, Thomas P. Wihler:
Fully Adaptive Newton-Galerkin Methods for Semilinear Elliptic Partial Differential Equations. SIAM J. Sci. Comput. 37(4) (2015) - 2014
- [j15]Thomas Fankhauser, Thomas P. Wihler, Marcel Wirz:
The hp-adaptive FEM based on continuous Sobolev embeddings: Isotropic refinements. Comput. Math. Appl. 67(4): 854-868 (2014) - [j14]Mario Amrein, Thomas P. Wihler:
An adaptive Newton-method based on a dynamical systems approach. Commun. Nonlinear Sci. Numer. Simul. 19(9): 2958-2973 (2014) - 2013
- [j13]Scott Congreve, Paul Houston, Thomas P. Wihler:
Two-Grid hp-Version Discontinuous Galerkin Finite Element Methods for Second-Order Quasilinear Elliptic PDEs. J. Sci. Comput. 55(2): 471-497 (2013) - [j12]Dominik Schötzau, Christoph Schwab, Thomas P. Wihler:
hp-dGFEM for Second-Order Elliptic Problems in Polyhedra I: Stability on Geometric Meshes. SIAM J. Numer. Anal. 51(3): 1610-1633 (2013) - [j11]Dominik Schötzau, Christoph Schwab, Thomas P. Wihler:
hp-DGFEM for Second Order Elliptic Problems in Polyhedra II: Exponential Convergence. SIAM J. Numer. Anal. 51(4): 2005-2035 (2013) - 2011
- [j10]Thomas P. Wihler:
An hp-adaptive strategy based on continuous Sobolev embeddings. J. Comput. Appl. Math. 235(8): 2731-2739 (2011) - [j9]Thomas P. Wihler, Beatrice Riviere:
Discontinuous Galerkin Methods for Second-Order Elliptic PDE with Low-Regularity Solutions. J. Sci. Comput. 46(2): 151-165 (2011) - 2010
- [j8]Benjamin Stamm, Thomas P. Wihler:
hp-Optimal discontinuous Galerkin methods for linear elliptic problems. Math. Comput. 79(272): 2117-2133 (2010) - [j7]Dominik Schötzau, Thomas P. Wihler:
A posteriori error estimation for hp-version time-stepping methods for parabolic partial differential equations. Numerische Mathematik 115(3): 475-509 (2010)
2000 – 2009
- 2006
- [j6]Thomas P. Wihler:
Locking-free adaptive discontinuous Galerkin FEM for linear elasticity problems. Math. Comput. 75(255): 1087-1102 (2006) - [j5]Ana-Maria Matache, Christoph Schwab, Thomas P. Wihler:
Linear Complexity Solution of Parabolic Integro-differential Equations. Numerische Mathematik 104(1): 69-102 (2006) - 2005
- [j4]Paul Houston, Dominik Schötzau, Thomas P. Wihler:
Energy Norm shape A Posteriori Error Estimation for Mixed Discontinuous Galerkin Approximations of the Stokes Problem. J. Sci. Comput. 22(1): 347-370 (2005) - [j3]Thomas P. Wihler:
An A Priori Error Analysis of the hp-Version of the Continuous Galerkin FEM for Nonlinear Initial Value Problems. J. Sci. Comput. 25(3): 523-549 (2005) - [j2]Ana-Maria Matache, Christoph Schwab, Thomas P. Wihler:
Fast Numerical Solution of Parabolic Integrodifferential Equations with Applications in Finance. SIAM J. Sci. Comput. 27(2): 369-393 (2005) - 2003
- [j1]Dominik Schötzau, Thomas P. Wihler:
Exponential convergence of mixed hp-DGFEM for Stokes flow in polygons. Numerische Mathematik 96(2): 339-361 (2003)
Coauthor Index
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