Thomas Richter

Orcid: 0000-0003-0206-3606

Affiliations:
  • Otto-von-Guericke Universität, OVGU, Magdeburg, Germany
  • University of Erlangen-Nuremberg, Department of Mathematics, Erlangen, Germany (former)
  • Heidelberg University, Germany (former)


According to our database1, Thomas Richter authored at least 51 papers between 2007 and 2024.

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

Timeline

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Bibliography

2024
A monolithic space-time temporal multirate finite element framework for interface and volume coupled problems.
J. Comput. Appl. Math., 2024

Error analysis of a pressure correction method with explicit time stepping.
CoRR, 2024

An adaptive finite element multigrid solver using GPU acceleration.
CoRR, 2024

A Posteriori Single- and Multi-Goal Error Control and Adaptivity for Partial Differential Equations.
CoRR, 2024

Towards a GPU-Parallelization of the neXtSIM-DG Dynamical Core.
Proceedings of the Platform for Advanced Scientific Computing Conference, 2024

2023
Error Analysis for a Parabolic PDE Model Problem on a Coupled Moving Domain in a Fully Eulerian Framework.
SIAM J. Numer. Anal., February, 2023

A priori and a posteriori error estimates for the Deep Ritz method applied to the Laplace and Stokes problem.
J. Comput. Appl. Math., 2023

Error analysis for hybrid finite element/neural network discretizations.
CoRR, 2023

A priori error analysis of multirate time-stepping schemes for two-phase flow problems.
CoRR, 2023

DNN-MG: A Hybrid Neural Network/Finite Element Method with Applications to 3D Simulations of the Navier-Stokes Equations.
CoRR, 2023

Quasi-Random Discrete Ordinates Method to Radiative Transfer Equation with Linear Anisotropic Scattering.
CoRR, 2023

Quasi-Random Discrete Ordinates Method for Transport Problems.
CoRR, 2023

A hybrid finite element/neural network solver and its application to the Poisson problem.
CoRR, 2023

2022
A neural network multigrid solver for the Navier-Stokes equations.
J. Comput. Phys., 2022

2021
LocModFE: Locally modified finite elements for approximating interface problems in deal.II.
Softw. Impacts, 2021

Error Estimate for the Heat Equation on a Coupled Moving Domain in a Fully Eulerian Framework.
CoRR, 2021

Error Estimates for Neural Network Solutions of Partial Differential Equations.
CoRR, 2021

On temporal homogenization in the numerical simulation of atherosclerotic plaque growth.
CoRR, 2021

Deep neural networks for geometric multigrid methods.
CoRR, 2021

Simulating linear kinematic features in viscous-plastic sea ice models on quadrilateral and triangular grids.
CoRR, 2021

Using a deep neural network to predict the motion of under-resolved triangular rigid bodies in an incompressible flow.
CoRR, 2021

Error Estimation and Adaptivity for Differential Equations with Multiple Scales in Time.
Comput. Methods Appl. Math., 2021

2020
Second Order Pressure Estimates for the Crank-Nicolson Discretization of the Incompressible Navier-Stokes Equations.
SIAM J. Numer. Anal., 2020

Efficient Approximation of Flow Problems With Multiple Scales in Time.
Multiscale Model. Simul., 2020

Finite Element Error Estimates on Geometrically Perturbed Domains.
J. Sci. Comput., 2020

A Parallel Newton Multigrid Framework for Monolithic Fluid-Structure Interactions.
J. Sci. Comput., 2020

Structure Preservation for the Deep Neural Network Multigrid Solver.
CoRR, 2020

Falling balls in a viscous fluid with contact: Comparing numerical simulations with experimental data.
CoRR, 2020

A Low-rank Method for Parameter-dependent Fluid-structure Interaction Discretizations With Hyperelasticity.
CoRR, 2020

A locally modified second-order finite element method for interface problems.
CoRR, 2020

Adaptive time-step control for a monolithic multirate scheme coupling the heat and wave equation.
CoRR, 2020

A goal oriented error estimator and mesh adaptivity for sea ice simulations.
CoRR, 2020

An unfitted Eulerian finite element method for the time-dependent Stokes problem on moving domains.
CoRR, 2020

2019
Numerical benchmarking of fluid-rigid body interactions.
CoRR, 2019

Parallel time-stepping for fluid-structure interactions.
CoRR, 2019

The Candy Wrapper Problem: A Temporal Multiscale Approach for PDE/PDE Systems.
Proceedings of the Numerical Mathematics and Advanced Applications ENUMATH 2019 - European Conference, Egmond aan Zee, The Netherlands, September 30, 2019

A Low-Rank Approach for Nonlinear Parameter-Dependent Fluid-Structure Interaction Problems.
Proceedings of the Numerical Mathematics and Advanced Applications ENUMATH 2019 - European Conference, Egmond aan Zee, The Netherlands, September 30, 2019

2018
Post-Turing tissue pattern formation: Advent of mechanochemistry.
PLoS Comput. Biol., 2018

2017
A finite element multigrid-framework to solve the sea ice momentum equation.
J. Comput. Phys., 2017

2016
Long-term simulation of large deformation, mechano-chemical fluid-structure interactions in ALE and fully Eulerian coordinates.
J. Comput. Phys., 2016

2015
Variational localizations of the dual weighted residual estimator.
J. Comput. Appl. Math., 2015

2014
A Locally Modified Parametric Finite Element Method for Interface Problems.
SIAM J. Numer. Anal., 2014

Goal-Oriented Error Estimation for the Fractional Step Theta Scheme.
Comput. Methods Appl. Math., 2014

2013
Optimal Control and Parameter Estimation for Stationary Fluid-Structure Interaction Problems.
SIAM J. Sci. Comput., 2013

Modeling and Computing of Deformation Dynamics of Inhomogeneous Biological Surfaces.
SIAM J. Appl. Math., 2013

Efficient numerical realization of discontinuous Galerkin methods for temporal discretization of parabolic problems.
Numerische Mathematik, 2013

A Fully Eulerian formulation for fluid-structure-interaction problems.
J. Comput. Phys., 2013

Eulerian Techniques for Fluid-Structure Interactions: Part II - Applications.
Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2013, 2013

Eulerian Techniques for Fluid-Structure Interactions: Part I - Modeling and Simulation.
Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2013, 2013

2011
Parallel multigrid method for finite element simulations of complex flow problems on locally refined meshes.
Numer. Linear Algebra Appl., 2011

2007
An adaptive homotopy multi-grid method for molecule orientations of high dimensional liquid crystals.
J. Comput. Phys., 2007


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