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BoSSS: a package for multigrid extended discontinuous Galerkin methods

03/05/2020

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by Florian Kummer, et al.

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The software package BoSSS serves the discretization of (steady-state or time-dependent) partial differential equations with discontinuous coefficients and/or time-dependent domains by means of an eXtended Discontinuous Galerkin (XDG, resp. DG) method, aka. cut-cell DG, aka. unfitted DG. This work consists of two major parts: First, the XDG method is introduced and a formal notation is developed, which captures important numerical details such as cell-agglomeration and a multigrid framework. In the second part, iterative solvers for extended DG systems are presented and their performance is evaluated.

Florian Kummer
4 publications
Martin Smuda
2 publications
Jens Weber
1 publication

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