Thomas Richter

Publication Activity (10 Years)

Years Active: 2007-2024
Publications (10 Years): 45

Top Topics

Error Estimates

Partial Differential Equations

Top Venues

SIAM J. Numer. Anal.

J. Comput. Phys.

J. Comput. Appl. Math.

Publications

Bernhard Endtmayer, Ulrich Langer, Thomas Richter, Andreas Schafelner, Thomas Wick
A Posteriori Single- and Multi-Goal Error Control and Adaptivity for Partial Differential Equations. CoRR (2024)
Manuel Liebchen, Utku Kaya, Christian Lessig, Thomas Richter
An adaptive finite element multigrid solver using GPU acceleration. CoRR (2024)
Julian Roth, Martyna Soszynska, Thomas Richter, Thomas Wick
A monolithic space-time temporal multirate finite element framework for interface and volume coupled problems. J. Comput. Appl. Math. 446 (2024)
Robert Jendersie, Christian Lessig, Thomas Richter
Towards a GPU-Parallelization of the neXtSIM-DG Dynamical Core. PASC (2024)
Utku Kaya, Thomas Richter
Error analysis of a pressure correction method with explicit time stepping. CoRR (2024)
Robert Jendersie, Christian Lessig, Thomas Richter
Towards a GPU-Parallelization of the neXtSIM-DG Dynamical Core. CoRR (2024)
Piotr Minakowski, Thomas Richter
A priori and a posteriori error estimates for the Deep Ritz method applied to the Laplace and Stokes problem. J. Comput. Appl. Math. 421 (2023)
Nils Margenberg, Robert Jendersie, Christian Lessig, Thomas Richter
DNN-MG: A Hybrid Neural Network/Finite Element Method with Applications to 3D Simulations of the Navier-Stokes Equations. CoRR (2023)
Henry von Wahl, Thomas Richter
Error Analysis for a Parabolic PDE Model Problem on a Coupled Moving Domain in a Fully Eulerian Framework. SIAM J. Numer. Anal. 61 (1) (2023)
Martyna Soszynska, Thomas Richter
A priori error analysis of multirate time-stepping schemes for two-phase flow problems. CoRR (2023)
Pedro H. A. Konzen, Leonardo Fernandes Guidi, Thomas Richter
Quasi-Random Discrete Ordinates Method for Transport Problems. CoRR (2023)
Pedro H. A. Konzen, Leonardo Fernandes Guidi, Thomas Richter
Quasi-Random Discrete Ordinates Method to Radiative Transfer Equation with Linear Anisotropic Scattering. CoRR (2023)
Julian Roth, Martyna Soszynska, Thomas Richter, Thomas Wick
A monolithic space-time temporal multirate finite element framework for interface and volume coupled problems. CoRR (2023)
Nils Margenberg, Dirk Hartmann, Christian Lessig, Thomas Richter
A neural network multigrid solver for the Navier-Stokes equations. J. Comput. Phys. 460 (2022)
Stefan Frei, Alexander Heinlein, Thomas Richter
On temporal homogenization in the numerical simulation of atherosclerotic plaque growth. CoRR (2021)
Stefan Frei, Thomas Richter, Thomas Wick
LocModFE: Locally modified finite elements for approximating interface problems in deal.II. Softw. Impacts 8 (2021)
Nils Margenberg, Robert Jendersie, Thomas Richter, Christian Lessig
Deep neural networks for geometric multigrid methods. CoRR (2021)
Piotr Minakowski, Thomas Richter
Error Estimates for Neural Network Solutions of Partial Differential Equations. CoRR (2021)
Henry von Wahl, Thomas Richter
Using a deep neural network to predict the motion of under-resolved triangular rigid bodies in an incompressible flow. CoRR (2021)
Leopold Lautsch, Thomas Richter
Error Estimation and Adaptivity for Differential Equations with Multiple Scales in Time. Comput. Methods Appl. Math. 21 (4) (2021)
Henry von Wahl, Thomas Richter
Error Estimate for the Heat Equation on a Coupled Moving Domain in a Fully Eulerian Framework. CoRR (2021)
Carolin Mehlmann, Sergey Danilov, Martin Losch, Jean-François Lemieux, N. Hutter, Thomas Richter, P. Blain, E. C. Hunke, Peter Korn
Simulating linear kinematic features in viscous-plastic sea ice models on quadrilateral and triangular grids. CoRR (2021)
Stefan Frei, Thomas Richter
Efficient Approximation of Flow Problems With Multiple Scales in Time. Multiscale Model. Simul. 18 (2) (2020)
Florian Sonner, Thomas Richter
Second Order Pressure Estimates for the Crank-Nicolson Discretization of the Incompressible Navier-Stokes Equations. SIAM J. Numer. Anal. 58 (1) (2020)
Henry von Wahl, Thomas Richter, Stefan Frei, Thomas Hagemeier
Falling balls in a viscous fluid with contact: Comparing numerical simulations with experimental data. CoRR (2020)
Lukas Failer, Thomas Richter
A Parallel Newton Multigrid Framework for Monolithic Fluid-Structure Interactions. J. Sci. Comput. 82 (2) (2020)
Piotr Minakowski, Thomas Richter
Finite Element Error Estimates on Geometrically Perturbed Domains. J. Sci. Comput. 84 (2) (2020)
Carolin Mehlmann, Thomas Richter
A goal oriented error estimator and mesh adaptivity for sea ice simulations. CoRR (2020)
Thomas Richter, Jeremi Mizerski
The candy wrapper problem - a temporal multiscale approach for pde/pde systems. CoRR (2020)
Dirk Hartmann, Christian Lessig, Nils Margenberg, Thomas Richter
A neural network multigrid solver for the Navier-Stokes equations. CoRR (2020)
Nils Margenberg, Christian Lessig, Thomas Richter
Structure Preservation for the Deep Neural Network Multigrid Solver. CoRR (2020)
Roman Weinhandl, Peter Benner, Thomas Richter
A Low-rank Method for Parameter-dependent Fluid-structure Interaction Discretizations With Hyperelasticity. CoRR (2020)
Henry von Wahl, Thomas Richter, Christoph Lehrenfeld
An unfitted Eulerian finite element method for the time-dependent Stokes problem on moving domains. CoRR (2020)
Martyna Soszynska, Thomas Richter
Adaptive time-step control for a monolithic multirate scheme coupling the heat and wave equation. CoRR (2020)
Stefan Frei, Gozel Judakova, Thomas Richter
A locally modified second-order finite element method for interface problems. CoRR (2020)
Florian Sonner, Thomas Richter
Second order pressure estimates for the Crank-Nicolson discretization of the incompressible Navier-Stokes Equations. CoRR (2019)
Henry von Wahl, Thomas Richter, Christoph Lehrenfeld, Jan Heiland, Piotr Minakowski
Numerical benchmarking of fluid-rigid body interactions. CoRR (2019)
Thomas Richter, Jeremi Mizerski
The Candy Wrapper Problem: A Temporal Multiscale Approach for PDE/PDE Systems. ENUMATH (2019)
Nils Margenberg, Thomas Richter
Parallel time-stepping for fluid-structure interactions. CoRR (2019)
Peter Benner, Thomas Richter, Roman Weinhandl
A Low-Rank Approach for Nonlinear Parameter-Dependent Fluid-Structure Interaction Problems. ENUMATH (2019)
Peter Benner, Thomas Richter, Roman Weinhandl
A Low-rank Approach for Nonlinear Parameter-dependent Fluid-structure Interaction Problems. CoRR (2019)
Felix Brinkmann, Moritz Mercker, Thomas Richter, Anna K. Marciniak-Czochra
Post-Turing tissue pattern formation: Advent of mechanochemistry. PLoS Comput. Biol. 14 (7) (2018)
Carolin Mehlmann, Thomas Richter
A finite element multigrid-framework to solve the sea ice momentum equation. J. Comput. Phys. 348 (2017)
Stefan Frei, Thomas Richter, Thomas Wick
Long-term simulation of large deformation, mechano-chemical fluid-structure interactions in ALE and fully Eulerian coordinates. J. Comput. Phys. 321 (2016)
Thomas Richter, Thomas Wick
Variational localizations of the dual weighted residual estimator. J. Comput. Appl. Math. 279 (2015)
Dominik Meidner, Thomas Richter
Goal-Oriented Error Estimation for the Fractional Step Theta Scheme. Comput. Methods Appl. Math. 14 (2) (2014)
Stefan Frei, Thomas Richter
A Locally Modified Parametric Finite Element Method for Interface Problems. SIAM J. Numer. Anal. 52 (5) (2014)
Stefan Frei, Thomas Richter, Thomas Wick
Eulerian Techniques for Fluid-Structure Interactions: Part I - Modeling and Simulation. ENUMATH (2013)
Stefan Frei, Thomas Richter, Thomas Wick
Eulerian Techniques for Fluid-Structure Interactions: Part II - Applications. ENUMATH (2013)
Moritz Mercker, Anna K. Marciniak-Czochra, Thomas Richter, Dirk Hartmann
Modeling and Computing of Deformation Dynamics of Inhomogeneous Biological Surfaces. SIAM J. Appl. Math. 73 (5) (2013)
Thomas Richter, Andreas Springer, Boris Vexler
Efficient numerical realization of discontinuous Galerkin methods for temporal discretization of parabolic problems. Numerische Mathematik 124 (1) (2013)
Thomas Richter, Thomas Wick
Optimal Control and Parameter Estimation for Stationary Fluid-Structure Interaction Problems. SIAM J. Sci. Comput. 35 (5) (2013)
Thomas Richter
A Fully Eulerian formulation for fluid-structure-interaction problems. J. Comput. Phys. 233 (2013)
Madlen Kimmritz, Thomas Richter
Parallel multigrid method for finite element simulations of complex flow problems on locally refined meshes. Numer. Linear Algebra Appl. 18 (4) (2011)
Ping Lin, Thomas Richter
An adaptive homotopy multi-grid method for molecule orientations of high dimensional liquid crystals. J. Comput. Phys. 225 (2) (2007)