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Cell agglomeration strategy for cut cells in eXtended discontinuous Galerkin methods
Muhammed Toprak, Matthias Rieckmann, Florian Kummer
In this work, a cell agglomeration strategy for the cut cells arising in the extended discontinuous Galerkin (XDG) method is presented. Cut cells are a fundamental aspect of unfitt…
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…
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…