Thomas P. Wihler

Publication Activity (10 Years)

Years Active: 2003-2024
Publications (10 Years): 26

Top Topics

Partial Differential Equations

Practical Problems

Boundary Value Problem

Finite Element Method

Top Venues

SIAM J. Sci. Comput.

SIAM J. Numer. Anal.

Publications

Yanchen He, Paul Houston, Christoph Schwab, Thomas P. Wihler
-ILGFEM for semilinear elliptic boundary value problems with monomial reaction. CoRR (2024)
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) (2023)
Patrick Bammer, Andreas Schröder, Thomas P. Wihler
An hp-adaptive strategy based on locally predicted error reductions. CoRR (2023)
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 (2022)
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) (2022)
Thomas P. Wihler
The Sassenfeld criterion revisited. CoRR (2022)
Pascal Heid, Thomas P. Wihler
A modified Kačanov iteration scheme with application to quasilinear diffusion models. CoRR (2021)
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 (2021)
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) (2021)
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 (2021)
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) (2021)
Pascal Heid, Thomas P. Wihler
Adaptive Local Minimax Galerkin Methods for Variational Problems. SIAM J. Sci. Comput. 43 (2) (2021)
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) (2020)
Pascal Heid, Thomas P. Wihler
Adaptive iterative linearization Galerkin methods for nonlinear problems. Math. Comput. 89 (326) (2020)
Pascal Heid, Dirk Praetorius, Thomas P. Wihler
A note on energy contraction and optimal convergence of adaptive iterative linearized finite element methods. CoRR (2020)
Pascal Heid, Thomas P. Wihler
Adaptive local minimax Galerkin methods for variational problems. CoRR (2020)
Pascal Heid, Benjamin Stamm, Thomas P. Wihler
Gradient Flow Finite Element Discretizations with Energy-Based Adaptivity for the Gross-Pitaevskii Equation. CoRR (2019)
Thomas P. Wihler, Marcel Wirz
Stability and Convergence of Spectral Mixed Discontinuous Galerkin Methods for 3D Linear Elasticity on Anisotropic Geometric Meshes. CoRR (2019)
Lars Schmutz, Thomas P. Wihler
-Stable. SIAM J. Numer. Anal. 57 (1) (2019)
Ramona Baumann, Thomas P. Wihler
A Nitsche Finite Element Approach for Elliptic Problems with Discontinuous Dirichlet Boundary Conditions. Comput. Methods Appl. Math. 18 (3) (2018)
Irene Kyza, Stephen Metcalfe, Thomas P. Wihler
hp-Adaptive Galerkin Time Stepping Methods for Nonlinear Initial Value Problems. J. Sci. Comput. 75 (1) (2018)
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) (2018)
Paul Houston, Thomas P. Wihler
An hp-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems. Math. Comput. 87 (314) (2018)
Scott Congreve, Thomas P. Wihler
Iterative Galerkin discretizations for strongly monotone problems. J. Comput. Appl. Math. 311 (2017)
Paul Houston, Thomas P. Wihler
Adaptive energy minimisation for hp-finite element methods. Comput. Math. Appl. 71 (4) (2016)
Dominik Schötzau, Christoph Schwab, Thomas P. Wihler
hp-dGFEM for second-order mixed elliptic problems in polyhedra. Math. Comput. 85 (299) (2016)
Mario Amrein, Thomas P. Wihler
Fully Adaptive Newton-Galerkin Methods for Semilinear Elliptic Partial Differential Equations. SIAM J. Sci. Comput. 37 (4) (2015)
Thomas Fankhauser, Thomas P. Wihler, Marcel Wirz
The hp-adaptive FEM based on continuous Sobolev embeddings: Isotropic refinements. Comput. Math. Appl. 67 (4) (2014)
Mario Amrein, Thomas P. Wihler
An adaptive Newton-method based on a dynamical systems approach. Commun. Nonlinear Sci. Numer. Simul. 19 (9) (2014)
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) (2013)
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) (2013)
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) (2013)
Thomas P. Wihler
An hp-adaptive strategy based on continuous Sobolev embeddings. J. Comput. Appl. Math. 235 (8) (2011)
Thomas P. Wihler, Béatrice Rivière
Discontinuous Galerkin Methods for Second-Order Elliptic PDE with Low-Regularity Solutions. J. Sci. Comput. 46 (2) (2011)
Benjamin Stamm, Thomas P. Wihler
-Optimal discontinuous Galerkin methods for linear elliptic problems. Math. Comput. 79 (272) (2010)
Dominik Schötzau, Thomas P. Wihler
-version time-stepping methods for parabolic partial differential equations. Numerische Mathematik 115 (3) (2010)
Thomas P. Wihler
Locking-free adaptive discontinuous Galerkin FEM for linear elasticity problems. Math. Comput. 75 (255) (2006)
Ana-Maria Matache, Christoph Schwab, Thomas P. Wihler
Linear Complexity Solution of Parabolic Integro-differential Equations. Numerische Mathematik 104 (1) (2006)
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) (2005)
Paul Houston, Dominik Schötzau, Thomas P. Wihler
Error Estimation for Mixed Discontinuous Galerkin Approximations of the Stokes Problem. J. Sci. Comput. 22 (1) (2005)
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) (2005)
Dominik Schötzau, Thomas P. Wihler
Exponential convergence of mixed hp-DGFEM for Stokes flow in polygons. Numerische Mathematik 96 (2) (2003)