49 citations · 324 across the 34 of their papers we have counts for
8 papers · 1 filter
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…
A Low-rank Approach for Nonlinear Parameter-dependent Fluid-structure Interaction Problems
Peter Benner, Thomas Richter, Roman Weinhandl
Parameter-dependent discretizations of linear fluid-structure interaction problems can be approached with low-rank methods. When discretizing with respect to a set of parameters, t…
Numerical benchmarking of fluid-rigid body interactions
Henry von Wahl, Thomas Richter, Christoph Lehrenfeld +2
We propose a fluid-rigid body interaction benchmark problem, consisting of a solid spherical obstacle in a Newtonian fluid, whose centre of mass is fixed but is free to rotate. A n…
Parallel time-stepping for fluid-structure interactions
Nils Margenberg, Thomas Richter
We present a parallel time-stepping method for fluid-structure interactions. The interaction between the incompressible Navier-Stokes equations and a hyperelastic solid is formulat…
Low-rank Linear Fluid-structure Interaction Discretizations
Roman Weinhandl, Peter Benner, Thomas Richter
Fluid-structure interaction models involve parameters that describe the solid and the fluid behavior. In simulations, there often is a need to vary these parameters to examine the…
A parallel Newton multigrid framework for monolithic fluid-structure interactions
L. Failer, T. Richter
We present a monolithic parallel Newton-multigrid solver for nonlinear three dimensional fluid-structure interactions in Arbitrary Lagrangian Eulerian formulation. We start with a…
Efficient approximation of flow problems with multiple scales in time
Stefan Frei, Thomas Richter
In this article we address flow problems that carry a multiscale character in time. In particular we consider the Navier-Stokes flow in a channel on a fast scale that influences th…
Finite Element Error Estimates on Geometrically Perturbed Domains
Piotr Minakowski, Thomas Richter
We develop error estimates for the finite element approximation of elliptic partial differential equations on perturbed domains, i.e. when the computational domain does not match t…