BoSSS: a package for multigrid extended discontinuous Galerkin methods
Numerical Analysis
2020-03-06 v1 Numerical Analysis
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.
Cite
@article{arxiv.2003.02431,
title = {BoSSS: a package for multigrid extended discontinuous Galerkin methods},
author = {Florian Kummer and Martin Smuda and Jens Weber},
journal= {arXiv preprint arXiv:2003.02431},
year = {2020}
}