4 papers
Dirichlet--Neumann waveform relaxation for heterogeneous heat equations: fully discrete analysis
Philipp Birken, Niklas Kotarsky
We consider two coupled linear heat equations on different spatial domains that interact through a lower dimensional interface. This models conjugate heat transfer. The problem is…
Jacobian-free Multigrid Preconditioner for Discontinuous Galerkin Methods applied to Numerical Weather Prediction
Philipp Birken, Andreas Dedner, Robert Klöfkorn
Discontinuous Galerkin (DG) methods are promising high order discretizations for unsteady compressible flows. Here, we focus on Numerical Weather Prediction (NWP). These flows are…
A time adaptive multirate Quasi-Newton waveform iteration for coupled problems
Niklas Kotarsky, Philipp Birken
We consider waveform iterations for dynamical coupled problems, or more specifically, PDEs that interact through a lower dimensional interface. We want to allow for the reuse of ex…
Convergence Properties of Iteratively Coupled Surface-Subsurface Models
Valentina Schüller, Philipp Birken, Andreas Dedner
Surface-subsurface flow models for hydrological applications solve a coupled multiphysics problem. This usually consists of some form of the Richards and shallow water equations. A…