Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 81, Issue -, Pages 237-257Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2020.05.001
Keywords
eXtended Discontinuous Galerkin; Cut-cell; Unfitted discontinuous Galerkin; Multigrid
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Funding
- Deutsche Forschungsgemeinschaft (DFG, German Research Foundation, Germany) [265191195 - SFB 1194]
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The software package BoSSS discretizes partial differential equations with discontinuous coefficients and/or time-dependent domains using an eXtended Discontinuous Galerkin (XDG) method. This work introduces the XDG method, develops a formal notation capturing important numerical details, and presents iterative solvers for extended DG systems.
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. (C) 2020 Elsevier Ltd. All rights reserved.
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