1 citations · 2 across the 2 of their papers we have counts for
4 papers
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…
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…
Analysis for Implicit and Implicit-Explicit ADER and DeC Methods for Ordinary Differential Equations, Advection-Diffusion and Advection-Dispersion Equations
Philipp Öffner, Louis Petri, Davide Torlo
In this manuscript, we present the development of implicit and implicit-explicit ADER and DeC methodologies within the DeC framework using the two-operators formulation, with a foc…