Overlapping domain decomposition methods with distributed Lagrange multipliers

被引：0

作者：

Hoppe, R.H.W. ^{[1
]}

Kuznetsov, Yu.A. ^{[1
]}

机构：

[1] Institut für Mathematik, Universität Augsburg, D-86159 Augsburg, Germany

来源：

| 2001年 / VSP BV卷 / 09期

关键词：

Eigenvalues and eigenfunctions - Lagrange multipliers - Matrix algebra - Problem solving - Variational techniques;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we consider an overlapping domain decomposition method for second order elliptic boundary value problems. The method is based on nonmatching simplicial triangulations of the subdomains and relies on an appropriate splitting of the variational formulation. The coupling conditions are taken care of by distributed Lagrange multipliers. The LBB condition is established and an efficient preconditioner is suggested.

引用

页码：285 / 293

共 50 条

[1] A PRECONDITIONER FOR DOMAIN DECOMPOSITION METHODS WITH MORTAR LAGRANGE MULTIPLIERS
HU QiyiaInstitute of Computational Mathematics and ScientificEngineering Computing Academy ofMathematics and Systems Science Chinese Academy of Sciences Beijing
College ofMathematics and Quantity Economy Hunan University Hunan China
Journal of Systems Science and Complexity, 2002, (04) : 384 - 395
[2] A PRECONDITIONER FOR DOMAIN DECOMPOSITION METHODS WITH MORTAR LAGRANGE MULTIPLIERS
HU Qiyia(Institute of Computational Mathematics and Scientific/Engineering Computing
College ofMathematics and Quantity Economy
Journal of Systems Science & Complexity, 2002, (04) : 384 - 395
[3] A PRECONDITIONER FOR THREE-DIMENSIONAL DOMAIN DECOMPOSITION METHODS WITH LAGRANGE MULTIPLIERS
HU Qiya LIANG Guoping(Academy of Mathematics and Systems Sciences
JournalofSystemsScienceandComplexity, 2003, (04) : 513 - 526
[4] Domain decomposition method with non-overlapping subdomains for elliptic variational inequalities using Lagrange multipliers
Lapin, A
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1996, 76 : 591 - 592
[5] Domain decomposition method with non-overlapping subdomains for elliptic variational inequalities using Lagrange multipliers
Lapin, A.
Zeitschrift fuer Angewandte Mathematik und Mechanik, ZAMM, Applied Mathematics and Mechanics, 76 (Suppl 2):
[6] On the L2 and the H1 couplings for an overlapping domain decomposition method using Lagrange multipliers
Guidault, P. -A.
Belytschko, T.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2007, 70 (03) : 322 - 350
[7] ON THE USE OF LAGRANGE MULTIPLIERS IN DOMAIN DECOMPOSITION FOR SOLVING ELLIPTIC PROBLEMS
SWANN, H
MATHEMATICS OF COMPUTATION, 1993, 60 (201) : 49 - 78
[8] Domain decomposition method with Lagrange multipliers for the analysis of electromagnetic scattering
State Key Laboratory of Millimeter Waves, Southeast University, Nanjing 210096, China
不详
Tien Tzu Hsueh Pao, 2007, 6 (1069-1073):
[9] Optional decomposition and Lagrange multipliers
H. Föllmer
Y.M. Kabanov
Finance and Stochastics, 1997, 2 (1) : 69 - 81
[10] Nonlinear Overlapping Domain Decomposition Methods
Cai, Xiao-Chuan
DOMAIN DECOMPOSITION METHODS IN SCIENCE AND ENGINEERING XVIII, 2009, 70 : 217 - 224

← 1 2 3 4 5 →