64 citations · 188 across the 35 of their papers we have counts for
41 papers
ADER-ZIST - a mixed explicit ADER-DG and zonally implicit space-time DG approach for Cartesian cut cell meshes
Michael Dumbser, Christian Engwer, Sandra May +1
We present high order accurate mixed explicit-implicit discontinuous Galerkin (DG) schemes for the solution of hyperbolic systems of conservation laws on Cartesian cut cell meshes.…
On the consistency of the Domain of Dependence cut cell stabilization
Gunnar Birke, Christian Engwer, Jan Giesselmann +1
So called cartesian cut cell meshes provide efficient ways to generate meshes but do require tailored numerical methods to not suffer from stabilization issues, especially in the h…
An Energy-Preserving Domain of Dependence Stabilization for the Linear Wave Equation on Cut-Cell Meshes
Gunnar Birke, Christian Engwer, Sandra May +2
We present an energy-preserving (either energy-conservative or energy-dissipative) domain of dependence stabilization method for the linear wave equation on cut-cell meshes. Our sc…
Domain-of-dependence-stabilized cut-cell discretizations of linear kinetic models with summation-by-parts properties
Louis Petri, Sigrun Ortleb, Gunnar Birke +2
We employ the summation-by-parts (SBP) framework to extend the recent domain-of-dependence (DoD) stabilization for cut cells to linear kinetic models in diffusion scaling. Numerica…
Concepts for Composing Finite Element Function Space Bases
Christian Engwer, Carsten Gräser, Steffen Müthing +2
Finite Element discretizations of coupled multi-physics partial differential equation models require the handling of composed function spaces. In this paper we discuss software con…
The domain-of-dependence stabilization for cut-cell meshes is fully discretely stable
Louis Petri, Gunnar Birke, Christian Engwer +1
We present a fully discrete stability analysis of the domain-of-dependence stabilization for hyperbolic problems. The method aims to address issues caused by small cut cells by red…