43 citations · 60 across the 10 of their papers we have counts for
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math.NA2023
An extended discontinuous Galerkin shock tracking method
Jakob Vandergrift, Florian Kummer
In this paper, we introduce a novel high-order shock tracking method and provide a proof of concept. Our method leverages concepts from implicit shock tracking and extended discont…
math.NA2023★ 1 cited
Coupling OpenFOAM(R) with BoSSS, a discontinuous Galerkin solver written in C#
Dario Klingenberg, Hrvoje Jasak, Holger Marschall +1
In this article, we present the foam-dg project, which provides a bridge between OpenFOAM(R) and the high-order DG (discontinuous Galerkin) framework BoSSS. Thanks to the flexibili…
math.NA2023★ 1 cited
High-Order Numerical Integration on Domains Bounded by Intersecting Level Sets
Lauritz Beck, Florian Kummer
We present a high-order method that provides numerical integration on volumes, surfaces, and lines defined implicitly by two smooth intersecting level sets. To approximate the inte…