3 papers
math.NA2026
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…
math.NA2026
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…
math.NA2026
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…