32 citations · 74 across the 14 of their papers we have counts for
16 papers
Dirichlet-Neumann waveform relaxation for heterogeneous heat equations: continuous and time discrete L2 analysis
Niklas Kotarsky, Philipp Birken, Martin J. Gander +1
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…
Resolving Entropy Growth from Iterative Methods
Viktor Linders, Hendrik Ranocha, Philipp Birken
We consider entropy conservative and dissipative discretizations of nonlinear conservation laws with implicit time discretizations and investigate the influence of iterative method…
Locally conservative and flux consistent iterative methods
Viktor Linders, Philipp Birken
Conservation and consistency are fundamental properties of discretizations of systems of hyperbolic conservation laws. Here, these concepts are extended to the realm of iterative m…
Theoretical and Practical Aspects of Space-Time DG-SEM Implementations
Lea M. Versbach, Viktor Linders, Robert Klöfkorn +1
We discuss two approaches for the formulation and implementation of space-time discontinuous Galerkin spectral element methods (DG-SEM). In one, time is treated as an additional co…
Local Fourier Analysis of a Space-Time Multigrid Method for DG-SEM for the Linear Advection Equation
Lea M. Versbach, Philipp Birken, Viktor Linders +1
In this paper we present a Local Fourier Analysis of a space-time multigrid solver for a hyperbolic test problem. The space-time discretization is based on arbitrarily high order d…
Waveform Relaxation with asynchronous time-integration
Peter Meisrimel, Philipp Birken
We consider Waveform Relaxation (WR) methods for partitioned time-integration of surface-coupled multiphysics problems. WR allows independent time-discretizations on independent an…
Conservative iterative methods for implicit discretizations of conservation laws
Philipp Birken, Viktor Linders
Conservation properties of iterative methods applied to implicit finite volume discretizations of nonlinear conservation laws are analyzed. It is shown that any consistent multiste…
A time adaptive multirate Dirichlet-Neumann waveform relaxation method for heterogeneous coupled heat equations
Peter Meisrimel, Azahar Monge, Philipp Birken
We consider partitioned time integration for heterogeneous coupled heat equations. First and second order multirate, as well as time-adaptive Dirichlet-Neumann Waveform relaxation…
Quasi-Newton Waveform Iteration for Partitioned Fluid-Structure Interaction
Benjamin Rüth, Benjamin Uekermann, Miriam Mehl +3
We present novel coupling schemes for partitioned multi-physics simulation that combine four important aspects for strongly coupled problems: implicit coupling per time step, fast…
A multirate Neumann-Neumann waveform relaxation method for heterogeneous coupled heat equations
Azahar Monge, Philipp Birken
An important challenge when coupling two different time dependent problems is to increase parallelization in time. We suggest a multirate Neumann-Neumann waveform relaxation algori…
Goal oriented time adaptivity using local error estimates
Peter Meisrimel, Philipp Birken
We consider initial value problems where we are interested in a quantity of interest (QoI) that is the integral in time of a functional of the solution of the IVP. For these, we lo…
Spectral stability of nonlinear gravity waves in the atmosphere
Mark Schlutow, Erik Wahlén, Philipp Birken
We apply spectral stability theory to investigate nonlinear gravity waves in the atmosphere. These waves are determined by modulation equations that result from Wentzel-Kramers-Bri…
Preconditioned smoothers for the full approximation scheme for the RANS equations
Philipp Birken, Jonathan Bull, Antony Jameson
We consider multigrid methods for finite volume discretizations of the Reynolds Averaged Navier-Stokes (RANS) equations for both steady and unsteady flows. We analyze the effect of…
On the convergence rate of the Dirichlet-Neumann iteration for unsteady thermal fluid structure interaction
Azahar Monge, Philipp Birken
We consider the Dirichlet-Neumann iteration for partitioned simulation of thermal fluid-structure interaction, also called conjugate heat transfer. We analyze its convergence rate…
Fast Solvers for Unsteady Thermal Fluid Structure Interaction
Philipp Birken, Tobias Gleim, Detlef Kuhl +1
We consider time dependent thermal fluid structure interaction. The respective models are the compressible Navier-Stokes equations and the nonlinear heat equation. A partitioned co…
Termination criteria for inexact fixed point methods
Philipp Birken
We analyze inexact fixed point iterations where the generating function contains an inexact solve of an equation system to answer the question of how tolerances for the inner solve…