Multigrid methods on adaptively refined grids

被引：11

作者：

Bastian, Peter ^{[1
]}

Wieners, Christian

机构：

[1] Univ Stuttgart, Inst Parallel & Distributed Syst, D-7000 Stuttgart, Germany

[2] Univ Karlsruhe, Karlsruhe, Germany

来源：

COMPUTING IN SCIENCE & ENGINEERING | 2006年 / 8卷 / 06期

关键词：

D O I：

10.1109/MCSE.2006.116

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Using multigrid solvers in the adaptive finite element method yields a powerful tool for solving large-scale partial differential equations that exhibit localized features such as singularities or shocks. In addition to describing the basic method and related theory, this article numerically demonstrates the method's performance and utility on 2D and 3D problems.

引用

页码：44 / 54

页数：11

共 30 条

[1]

Ainsworth M, 2000, PUR AP M-WI, DOI 10.1002/9781118032824

[2] LOCAL MESH REFINEMENT MULTILEVEL TECHNIQUES [J].

BAI, D ;

BRANDT, A .

SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1987, 8 (02) :109-134

[3]

Bank R.E., 1983, Scientific Computing, Applications of Mathematics and Computing to the Physical Sciences, V1, P3

[4] THE HIERARCHICAL BASIS MULTIGRID METHOD [J].

BANK, RE ;

DUPONT, TF ;

YSERENTANT, H .

NUMERISCHE MATHEMATIK, 1988, 52 (04) :427-458

[5]

Bastian P, 2005, LECT NOTES COMP SCI, V40, P167

[6]

Bastian P., 1997, Computing and Visualization in Science, V1, P27, DOI 10.1007/s007910050003

[7]

BASTIAN P, 1993, P 8 GAMM SEM NOT NUM, V46, P12

[8]

BASTIAN P, 1996, TEUBNER SKRIPTEN NUM

[9]

Becker R, 2000, NUMER LINEAR ALGEBR, V7, P363, DOI 10.1002/1099-1506(200009)7:6<363::AID-NLA202>3.0.CO

[10]

2-V

← 1 2 3 →