Multilevel methods for discontinuous Galerkin FEM on locally refined meshes

被引：40

作者：

Kanschat, G ^{[1
]}

机构：

[1] Heidelberg Univ, Inst Angew Math, D-69120 Heidelberg, Germany

来源：

COMPUTERS & STRUCTURES | 2004年 / 82卷 / 28期

关键词：

discontinuous Galerkin; finite elements; preconditioning; multigrid; adaptive methods; local refinement;

D O I：

10.1016/j.compstruc.2004.04.015

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We review shortly the analytical results on multilevel preconditioning for DG methods for elliptic problems. An algorithm is presented which does not loose efficiency under local refinement. It uses subspace smoothing and does not require integration of additional matrices. This algorithm is applied to the interior penalty method and the local discontinuous Galerkin method. A feasible way of implementing the scheme is presented. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：2437 / 2445

页数：9

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