Distributed Lagrange multipliers based on fictitious domain method for second order elliptic problems

被引：80
|
作者：
Glowinski, R. [1 ]
Kuznetsov, Yu. [1 ]
机构：
[1] Univ Houston, Dept Math, Houston, TX 77204 USA
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2007年 / 196卷 / 08期
关键词：
second order elliptic problems; fictitious domain methods; Lagrange multipliers; finite element approximations; preconditioned iterative methods; conjugate gradient algorithms; Lanczos algorithms;
D O I：
10.1016/j.cma.2006.05.013
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this article we further investigate the solution of linear second order elliptic boundary value problems by distributed Lagrange multipliers based fictitious domain methods. The following issues are addressed: (i) Derivation of the fictitious domain formulations. (ii) Finite element approximation. (iii) Iterative solution of the resulting finite dimensional problems (of the saddle-point type) by preconditioned conjugate gradient and Lanczos algorithms. (c) 2006 Elsevier B.V. All rights reserved.
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页码：1498 / 1506
页数：9
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