A balancing domain decomposition by constraints preconditioner for a weakly over-penalized symmetric interior penalty method

被引：15

作者：

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

Park, Eun-Hee

Sung, Li-Yeng

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：

NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS | 2013年 / 20卷 / 03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：

non-overlapping domain decomposition; BDDC preconditioner; weakly over-penalized symmetric interior penalty methods; discontinuous Galerkin methods; DISCONTINUOUS GALERKIN APPROXIMATION; FINITE-ELEMENT-METHOD; SCHWARZ PRECONDITIONERS; FETI-DP; ITERATIVE METHODS; ELLIPTIC PROBLEMS; BDDC;

D O I：

10.1002/nla.1838

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We develop a balancing domain decomposition by constraints preconditioner for a weakly over-penalized symmetric interior penalty method for second-order elliptic problems. We show that the condition number of the preconditioned system satisfies similar estimates as those for conforming finite element methods. Corroborating numerical results are also presented. Copyright (c) 2012 John Wiley & Sons, Ltd.

引用

页码：472 / 491

页数：20