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arXiv · 2003.02431

BoSSS: a package for multigrid extended discontinuous Galerkin methods

Florian Kummer·Martin Smuda·Jens Weber
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Abstract

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.

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Florian Kummer, Martin Smuda, Jens Weber. 2020-03-05. BoSSS: a package for multigrid extended discontinuous Galerkin methods. https://arxiv.org/abs/2003.02431

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