27 citations · 53 across the 8 of their papers we have counts for
11 papers · 1 filter
On temporal homogenization in the numerical simulation of atherosclerotic plaque growth
Stefan Frei, Alexander Heinlein, Thomas Richter
A temporal homogenization approach for the numerical simulation of atherosclerotic plaque growth is extended to fully coupled fluid-structure interaction (FSI) simulations. The num…
Deep neural networks for geometric multigrid methods
Nils Margenberg, Robert Jendersie, Thomas Richter +1
We investigate scaling and efficiency of the deep neural network multigrid method (DNN-MG). DNN-MG is a novel neural network-based technique for the simulation of the Navier-Stokes…
Adaptive time-step control for a monolithic multirate scheme coupling the heat and wave equation
Martyna Soszynska, Thomas Richter
We consider the dynamics of a parabolic and a hyperbolic equation coupled on a common interface and develop time-stepping schemes that can use different time-step sizes for each of…
The candy wrapper problem -- a temporal multiscale approach for pde/pde systems
Thomas Richter, Jeremi Mizerski
We describe a temporal multiscale approach for the simulation of long-term processes with short-term influences involving partial differential equations. The specific problem under…
A goal oriented error estimator and mesh adaptivity for sea ice simulations
Carolin Mehlmann, Thomas Richter
For the first time we introduce an error estimator for the numerical approximation of the equations describing the dynamics of sea ice. The idea of the estimator is to identify dif…
Second order pressure estimates for the Crank-Nicolson discretization of the incompressible Navier-Stokes Equations
Florian Sonner, Thomas Richter
We provide optimal order pressure error estimates for the Crank-Nicolson semidiscretization of the incompressible Navier-Stokes equations. Second order estimates for the velocity e…