An adaptive homotopy multi-grid method for molecule orientations of high dimensional liquid crystals. - Ping Lin; Thomas Richter 003 (J. Comput. Phys., 2007)

Parallel multigrid method for finite element simulations of complex flow problems on locally refined meshes. - Madlen Kimmritz; Thomas Richter 003 (Numer. Linear Algebra Appl., 2011)

Eulerian Techniques for Fluid-Structure Interactions: Part I - Modeling and Simulation. - Stefan Frei; Thomas Richter 003; Thomas Wick (ENUMATH, 2013)

Eulerian Techniques for Fluid-Structure Interactions: Part II - Applications. - Stefan Frei; Thomas Richter 003; Thomas Wick (ENUMATH, 2013)

A Fully Eulerian formulation for fluid-structure-interaction problems. - Thomas Richter 003 (J. Comput. Phys., 2013)

Efficient numerical realization of discontinuous Galerkin methods for temporal discretization of parabolic problems. - Thomas Richter 003; Andreas Springer; Boris Vexler (Numerische Mathematik, 2013)

Modeling and Computing of Deformation Dynamics of Inhomogeneous Biological Surfaces. - Moritz Mercker; Anna K. Marciniak-Czochra; Thomas Richter 003; Dirk Hartmann (SIAM J. Appl. Math., 2013)

Optimal Control and Parameter Estimation for Stationary Fluid-Structure Interaction Problems. - Thomas Richter 003; Thomas Wick (SIAM J. Sci. Comput., 2013)

Goal-Oriented Error Estimation for the Fractional Step Theta Scheme. - Dominik Meidner; Thomas Richter 003 (Comput. Methods Appl. Math., 2014)

A Locally Modified Parametric Finite Element Method for Interface Problems. - Stefan Frei; Thomas Richter 003 (SIAM J. Numer. Anal., 2014)

Variational localizations of the dual weighted residual estimator. - Thomas Richter 003; Thomas Wick (J. Comput. Appl. Math., 2015)

Long-term simulation of large deformation, mechano-chemical fluid-structure interactions in ALE and fully Eulerian coordinates. - Stefan Frei; Thomas Richter 003; Thomas Wick (J. Comput. Phys., 2016)

A finite element multigrid-framework to solve the sea ice momentum equation. - Carolin Mehlmann; Thomas Richter 003 (J. Comput. Phys., 2017)

Post-Turing tissue pattern formation: Advent of mechanochemistry. - Felix Brinkmann; Moritz Mercker; Thomas Richter 003; Anna K. Marciniak-Czochra (PLoS Comput. Biol., 2018)

A Low-Rank Approach for Nonlinear Parameter-Dependent Fluid-Structure Interaction Problems. - Peter Benner; Thomas Richter 003; Roman Weinhandl (ENUMATH, 2019)

The Candy Wrapper Problem: A Temporal Multiscale Approach for PDE/PDE Systems. - Thomas Richter 003; Jeremi Mizerski (ENUMATH, 2019)

Parallel time-stepping for fluid-structure interactions. - Nils Margenberg; Thomas Richter 003 (CoRR, 2019)

Numerical benchmarking of fluid-rigid body interactions. - Henry von Wahl; Thomas Richter 003; Christoph Lehrenfeld; Jan Heiland; Piotr Minakowski (CoRR, 2019)

An unfitted Eulerian finite element method for the time-dependent Stokes problem on moving domains. - Henry von Wahl; Thomas Richter 003; Christoph Lehrenfeld (CoRR, 2020)

A goal oriented error estimator and mesh adaptivity for sea ice simulations. - Carolin Mehlmann; Thomas Richter 003 (CoRR, 2020)

Adaptive time-step control for a monolithic multirate scheme coupling the heat and wave equation. - Martyna Soszynska; Thomas Richter 003 (CoRR, 2020)

A locally modified second-order finite element method for interface problems. - Stefan Frei; Gozel Judakova; Thomas Richter 003 (CoRR, 2020)

A Low-rank Method for Parameter-dependent Fluid-structure Interaction Discretizations With Hyperelasticity. - Roman Weinhandl; Peter Benner; Thomas Richter 003 (CoRR, 2020)

Falling balls in a viscous fluid with contact: Comparing numerical simulations with experimental data. - Henry von Wahl; Thomas Richter 003; Stefan Frei; Thomas Hagemeier (CoRR, 2020)

Structure Preservation for the Deep Neural Network Multigrid Solver. - Nils Margenberg; Christian Lessig; Thomas Richter 003 (CoRR, 2020)

A Parallel Newton Multigrid Framework for Monolithic Fluid-Structure Interactions. - Lukas Failer; Thomas Richter 003 (J. Sci. Comput., 2020)

Finite Element Error Estimates on Geometrically Perturbed Domains. - Piotr Minakowski; Thomas Richter 003 (J. Sci. Comput., 2020)

Efficient Approximation of Flow Problems With Multiple Scales in Time. - Stefan Frei; Thomas Richter 003 (Multiscale Model. Simul., 2020)

Second Order Pressure Estimates for the Crank-Nicolson Discretization of the Incompressible Navier-Stokes Equations. - Florian Sonner; Thomas Richter 003 (SIAM J. Numer. Anal., 2020)

Error Estimation and Adaptivity for Differential Equations with Multiple Scales in Time. - Leopold Lautsch; Thomas Richter 003 (Comput. Methods Appl. Math., 2021)

Using a deep neural network to predict the motion of under-resolved triangular rigid bodies in an incompressible flow. - Henry von Wahl; Thomas Richter 003 (CoRR, 2021)

Simulating linear kinematic features in viscous-plastic sea ice models on quadrilateral and triangular grids. - Carolin Mehlmann; Sergey Danilov; Martin Losch; Jean-François Lemieux; N. Hutter; Thomas Richter 003; P. Blain; E. C. Hunke; Peter Korn (CoRR, 2021)

Deep neural networks for geometric multigrid methods. - Nils Margenberg; Robert Jendersie; Thomas Richter 003; Christian Lessig (CoRR, 2021)

On temporal homogenization in the numerical simulation of atherosclerotic plaque growth. - Stefan Frei; Alexander Heinlein; Thomas Richter 003 (CoRR, 2021)

Error Estimates for Neural Network Solutions of Partial Differential Equations. - Piotr Minakowski; Thomas Richter 003 (CoRR, 2021)

Error Estimate for the Heat Equation on a Coupled Moving Domain in a Fully Eulerian Framework. - Henry von Wahl; Thomas Richter 003 (CoRR, 2021)

LocModFE: Locally modified finite elements for approximating interface problems in deal.II. - Stefan Frei; Thomas Richter 003; Thomas Wick (Softw. Impacts, 2021)

A neural network multigrid solver for the Navier-Stokes equations. - Nils Margenberg; Dirk Hartmann; Christian Lessig; Thomas Richter 003 (J. Comput. Phys., 2022)

A hybrid finite element/neural network solver and its application to the Poisson problem. - Uladzislau Kapustsin; Utku Kaya 003; Thomas Richter 003 (CoRR, 2023)

Quasi-Random Discrete Ordinates Method for Transport Problems. - Pedro H. A. Konzen; Leonardo Fernandes Guidi; Thomas Richter 003 (CoRR, 2023)

Quasi-Random Discrete Ordinates Method to Radiative Transfer Equation with Linear Anisotropic Scattering. - Pedro H. A. Konzen; Leonardo Fernandes Guidi; Thomas Richter 003 (CoRR, 2023)

DNN-MG: A Hybrid Neural Network/Finite Element Method with Applications to 3D Simulations of the Navier-Stokes Equations. - Nils Margenberg; Robert Jendersie; Christian Lessig; Thomas Richter 003 (CoRR, 2023)

A priori error analysis of multirate time-stepping schemes for two-phase flow problems. - Martyna Soszynska; Thomas Richter 003 (CoRR, 2023)

Error analysis for hybrid finite element/neural network discretizations. - Uladzislau Kapustsin; Utku Kaya 003; Thomas Richter 003 (CoRR, 2023)

A priori and a posteriori error estimates for the Deep Ritz method applied to the Laplace and Stokes problem. - Piotr Minakowski; Thomas Richter 003 (J. Comput. Appl. Math., 2023)

Error Analysis for a Parabolic PDE Model Problem on a Coupled Moving Domain in a Fully Eulerian Framework. - Henry von Wahl; Thomas Richter 003 (SIAM J. Numer. Anal., 2023)

Towards a GPU-Parallelization of the neXtSIM-DG Dynamical Core. - Robert Jendersie; Christian Lessig; Thomas Richter 003 (PASC, 2024)

A Posteriori Single- and Multi-Goal Error Control and Adaptivity for Partial Differential Equations. - Bernhard Endtmayer; Ulrich Langer; Thomas Richter 003; Andreas Schafelner; Thomas Wick (CoRR, 2024)

An adaptive finite element multigrid solver using GPU acceleration. - Manuel Liebchen; Utku Kaya 003; Christian Lessig; Thomas Richter 003 (CoRR, 2024)

Error analysis of a pressure correction method with explicit time stepping. - Utku Kaya 003; Thomas Richter 003 (CoRR, 2024)

Application of a Temporal Multiscale Method for Efficient Simulation of Degradation in PEM Water Electrolysis under Dynamic Operation. - Dayron Chang Dominguez; An Phuc Dam; Thomas Richter 003; Kai Sundmacher; Shaun M. Alia (CoRR, 2024)

A monolithic space-time temporal multirate finite element framework for interface and volume coupled problems. - Julian Roth; Martyna Soszynska; Thomas Richter 003; Thomas Wick (J. Comput. Appl. Math., 2024)

Application of a temporal multiscale method for efficient simulation of degradation in PEM Water Electrolysis under dynamic operating conditions. - Dayron Chang Dominguez; An Phuc Dam; Shaun M. Alia; Thomas Richter 003; Kai Sundmacher (Comput. Chem. Eng., 2025)

A CFL-type Condition and Theoretical Insights for Discrete-Time Sparse Full-Order Model Inference. - Leonidas Gkimisis; Süleyman Yildiz; Peter Benner; Thomas Richter 003 (CoRR, 2025)