Two-Level Additive Schwarz Preconditioners for a Weakly Over-Penalized Symmetric Interior Penalty Method

被引：23

作者：

Barker, A. T. ^{[1
,2
]}

Brenner, S. C. ^{[1
,2
]}

Park, E. -H. ^{[1
,2
]}

Sung, L. -Y. ^{[1
,2
]}

机构：

[1] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA

[2] Louisiana State Univ, Ctr Computat & Technol, Baton Rouge, LA 70803 USA

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2011年 / 47卷 / 01期

基金：

美国国家科学基金会; 新加坡国家研究基金会;

关键词：

Domain decomposition; Two-level additive Schwarz preconditioner; Interior penalty; Weak over-penalization; DISCONTINUOUS GALERKIN APPROXIMATIONS; FINITE-ELEMENT-METHOD; DECOMPOSITION; SPACES;

D O I：

10.1007/s10915-010-9419-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose and analyze several two-level additive Schwarz preconditioners for a weakly over-penalized symmetric interior penalty method for second order elliptic boundary value problems. We also report numerical results that illustrate the parallel performance of these preconditioners.

引用

页码：27 / 49

页数：23

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