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

被引：82

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.

引用

页码：1498 / 1506

页数：9

共 30 条

[1]

[Anonymous], 2003, HDB NUMER ANAL

[2]

[Anonymous], SOVIET MATH DOKLADY

[3]

[Anonymous], 1978, COMP MATH MATH PHYS+

[4]

ASTRAKHANTSEV G, 1972, THERSIS LOMI AKAD NA

[5]

Bespalov A., 1992, Impact of Computing in Science and Engineering, V4, P217, DOI 10.1016/0899-8248(92)90002-P

[6] An operator splitting scheme with a distributed Lagrange multiplier based fictitious domain method for wave propagation problems [J].

Bokil, VA ;

Glowinski, R .

JOURNAL OF COMPUTATIONAL PHYSICS, 2005, 205 (01) :242-268

[7] DIRECT METHODS FOR SOLVING POISSONS EQUATIONS [J].

BUZBEE, BL ;

GOLUB, GH ;

NIELSON, CW .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1970, 7 (04) :627-&

[8]

DINH QV, 1992, P 5 INT S DOM DEC ME, P151

[9]

FINOGENOV SA, 1988, SOV J NUMER ANAL MAT, V3, P301

[10]

Girault V., 1995, JAPAN J IND APPL MAT, V12, P487, DOI [10.1007/BF03167240, DOI 10.1007/BF03167240]

← 1 2 3 →