Thomas P. Wihler

Orcid: 0000-0003-1232-0637

According to our database1, Thomas P. Wihler authored at least 39 papers between 2003 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of five.

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Bibliography

2024
Exponential Convergence of <i>hp</i>-ILGFEM for semilinear elliptic boundary value problems with monomial reaction.
CoRR, 2024

2023
A Numerical Energy Reduction Approach for Semilinear Diffusion-Reaction Boundary Value Problems Based on Steady-State Iterations.
SIAM J. Numer. Anal., April, 2023

An hp-adaptive strategy based on locally predicted error reductions.
CoRR, 2023

2022
Conditional A Posteriori Error Bounds for High Order Discontinuous Galerkin Time Stepping Approximations of Semilinear Heat Models with Blow-up.
SIAM J. Sci. Comput., 2022

A numerical energy minimisation approach for semilinear diffusion-reaction boundary value problems based on steady state iterations.
CoRR, 2022

The Sassenfeld criterion revisited.
CoRR, 2022

2021
Adaptive Local Minimax Galerkin Methods for Variational Problems.
SIAM J. Sci. Comput., 2021

A posteriori error bounds for fully-discrete hp-discontinuous Galerkin timestepping methods for parabolic problems.
Numerische Mathematik, 2021

Gradient flow finite element discretizations with energy-based adaptivity for the Gross-Pitaevskii equation.
J. Comput. Phys., 2021

Conditional a posteriori error bounds for high order DG time stepping approximations of semilinear heat models with blow-up.
CoRR, 2021

A modified Kačanov iteration scheme with application to quasilinear diffusion models.
CoRR, 2021

Energy Contraction and Optimal Convergence of Adaptive Iterative Linearized Finite Element Methods.
Comput. Methods Appl. Math., 2021

2020
Adaptive iterative linearization Galerkin methods for nonlinear problems.
Math. Comput., 2020

Stability and Convergence of Spectral Mixed Discontinuous Galerkin Methods for 3D Linear Elasticity on Anisotropic Geometric Meshes.
J. Sci. Comput., 2020

A note on energy contraction and optimal convergence of adaptive iterative linearized finite element methods.
CoRR, 2020

2019
The Variable-Order Discontinuous Galerkin Time Stepping Scheme for Parabolic Evolution Problems is Uniformly L<sup>∞</sup>-Stable.
SIAM J. Numer. Anal., 2019

2018
Continuous and discontinuous Galerkin time stepping methods for nonlinear initial value problems with application to finite time blow-up.
Numerische Mathematik, 2018

An hp-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems.
Math. Comput., 2018

hp-Adaptive Galerkin Time Stepping Methods for Nonlinear Initial Value Problems.
J. Sci. Comput., 2018

A Nitsche Finite Element Approach for Elliptic Problems with Discontinuous Dirichlet Boundary Conditions.
Comput. Methods Appl. Math., 2018

2017
Iterative Galerkin discretizations for strongly monotone problems.
J. Comput. Appl. Math., 2017

2016
hp-dGFEM for second-order mixed elliptic problems in polyhedra.
Math. Comput., 2016

Adaptive energy minimisation for hp-finite element methods.
Comput. Math. Appl., 2016

2015
Fully Adaptive Newton-Galerkin Methods for Semilinear Elliptic Partial Differential Equations.
SIAM J. Sci. Comput., 2015

2014
An adaptive Newton-method based on a dynamical systems approach.
Commun. Nonlinear Sci. Numer. Simul., 2014

The hp-adaptive FEM based on continuous Sobolev embeddings: Isotropic refinements.
Comput. Math. Appl., 2014

2013
hp-DGFEM for Second Order Elliptic Problems in Polyhedra II: Exponential Convergence.
SIAM J. Numer. Anal., 2013

hp-dGFEM for Second-Order Elliptic Problems in Polyhedra I: Stability on Geometric Meshes.
SIAM J. Numer. Anal., 2013

Two-Grid hp-Version Discontinuous Galerkin Finite Element Methods for Second-Order Quasilinear Elliptic PDEs.
J. Sci. Comput., 2013

2011
Discontinuous Galerkin Methods for Second-Order Elliptic PDE with Low-Regularity Solutions.
J. Sci. Comput., 2011

An hp-adaptive strategy based on continuous Sobolev embeddings.
J. Comput. Appl. Math., 2011

2010
A posteriori error estimation for <i>hp</i>-version time-stepping methods for parabolic partial differential equations.
Numerische Mathematik, 2010

<i>hp</i>-Optimal discontinuous Galerkin methods for linear elliptic problems.
Math. Comput., 2010

2006
Linear Complexity Solution of Parabolic Integro-differential Equations.
Numerische Mathematik, 2006

Locking-free adaptive discontinuous Galerkin FEM for linear elasticity problems.
Math. Comput., 2006

2005
Fast Numerical Solution of Parabolic Integrodifferential Equations with Applications in Finance.
SIAM J. Sci. Comput., 2005

An A Priori Error Analysis of the hp-Version of the Continuous Galerkin FEM for Nonlinear Initial Value Problems.
J. Sci. Comput., 2005

Energy Norm <i>shape A Posteriori</i> Error Estimation for Mixed Discontinuous Galerkin Approximations of the Stokes Problem.
J. Sci. Comput., 2005

2003
Exponential convergence of mixed hp-DGFEM for Stokes flow in polygons.
Numerische Mathematik, 2003


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