43 citations · 60 across the 10 of their papers we have counts for
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math.NA2020★ 7 cited
An Extended Discontinuous Galerkin Method for High-Order Shock-Fitting
Markus Geisenhofer, Florian Kummer, Martin Oberlack
We present a sub-cell accurate shock-fitting technique using a high-order extended discontinuous Galerkin (XDG) method, where a computational cell of the background grid is cut int…
math.NA2020★ 3 cited
On a marching level-set method for extended discontinuous Galerkin methods for incompressible two-phase flows
Martin Smuda, Florian Kummer
In this work a solver for instationary two-phase flows on the basis of the extended Discontinuous Galerkin (extended DG/XDG) method is presented. The XDG method adapts the approxim…
math.NA2020
BoSSS: a package for multigrid extended discontinuous Galerkin methods
Florian Kummer, Martin Smuda, Jens Weber
The software package BoSSS serves the discretization of (steady-state or time-dependent) partial differential equations with discontinuous coefficients and/or time-dependent domain…