BoSSS: A package for multigrid extended discontinuous Galerkin methods. (1st January 2021)

• Record Type: Journal Article
• Authors: Kummer, Florian; Weber, Jens; Smuda, Martin
• Is Part Of: Computers & mathematics with applications. Volume 81(2021)
• Page Start: 237
• Page End: 257
• Publication Date: 2021-01-01
• Subjects: eXtended Discontinuous Galerkin -- Cut-cell -- Unfitted discontinuous Galerkin -- Multigrid; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2020.05.001
• Languages: English
• ISSNs: 0898-1221

Abstract

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 or 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.