161 citations · 380 across the 23 of their papers we have counts for
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math.NA2021★ 4 cited
Partial differential equations on hypergraphs and networks of surfaces: derivation and hybrid discretizations
Andreas Rupp, Markus Gahn, Guido Kanschat
We introduce a general, analytical framework to express and to approximate partial differential equations (PDEs) numerically on graphs and networks of surfaces---generalized by the…
math.NA2021★ 6 cited
Analysis of injection operators in multigrid solvers for hybridized discontinuous Galerkin methods
Peipei Lu, Andreas Rupp, Guido Kanschat
Uniform convergence of the geometric multigrid V-cycle is proven for HDG methods with a new set of assumptions on the injection operators from coarser to finer meshes. The scheme i…
math.NA2021★ 3 cited
Homogeneous multigrid for embedded discontinuous Galerkin methods
Peipei Lu, Andreas Rupp, Guido Kanschat
We introduce a homogeneous multigrid method in the sense that it uses the same embedded discontinuous Galerkin (EDG) discretization scheme for Poisson's equation on all levels. In…