BoSSS: A package for multigrid extended discontinuous Galerkin methods

被引：12

作者：

Kummer, Florian ^{[1
,2
]}

Weber, Jens ^{[1
]}

Smuda, Martin ^{[1
,2
]}

机构：

[1] Tech Univ Darmstadt, Dept Mech Engn, Darmstadt, Germany

[2] Ctr Computat Engn, Darmstadt, Germany

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2021年 / 81卷

关键词：

eXtended Discontinuous Galerkin; Cut-cell; Unfitted discontinuous Galerkin; Multigrid; FINITE-ELEMENT-METHOD; ELLIPTIC-EQUATIONS; FLOWS; SURFACE; SPACE; XFEM; DISCRETIZATION; INTEGRATION; SOLVER;

D O I：

10.1016/j.camwa.2020.05.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：237 / 257

页数：21

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