64 citations · 188 across the 35 of their papers we have counts for
5 papers · 2 filters
Model order reduction of an ultraweak and optimally stable variational formulation for parametrized reactive transport problems
Christian Engwer, Mario Ohlberger, Lukas Renelt
This contribution introduces a model order reduction approach for an advection-reaction problem with a parametrized reaction function. The underlying discretization uses an ultrawe…
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…
An optimally stable approximation of reactive transport using discrete test and infinite trial spaces
Lukas Renelt, Christian Engwer, Mario Ohlberger
In this contribution we propose an optimally stable ultraweak Petrov-Galerkin variational formulation and subsequent discretization for stationary reactive transport problems. The…
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…