20 citations · 22 across the 11 of their papers we have counts for
4 papers · 2 filters
Accuracy analysis for explicit-implicit finite volume schemes on cut cell meshes
Sandra May, Fabian Laakmann
The solution of time-dependent hyperbolic conservation laws on cut cell meshes causes the small cell problem: standard schemes are not stable on the arbitrarily small cut cells if…
Domain of Dependence stabilization for the acoustic wave equation on 2D cut-cell meshes
Gunnar Birke, Christian Engwer, Sandra May +1
Cut-cell meshes are an attractive alternative to avoid common mesh generation problems. For hyperbolic problems they pose additional challenges, as elements can become arbitrarily…
DoD stabilization for higher-order advection in two dimensions
Florian Streitbürger, Gunnar Birke, Christian Engwer +1
When solving time-dependent hyperbolic conservation laws on cut cell meshes one has to overcome the small cell problem: standard explicit time stepping is not stable on small cut c…
DoD Stabilization of linear hyperbolic PDEs on general cut-cell meshes
Gunnar Birke, Christian Engwer, Sandra May +1
Standard numerical methods for hyperbolic PDEs require for stability a CFL-condition which implies that the time step size depends on the size of the elements of the mesh. On cut-c…