A finite element method for domain decomposition with non-matching grids

被引：163

作者：

Becker, R

Hansbo, P

Stenberg, R

机构：

[1] Univ Heidelberg, Inst Appl Math, D-69120 Heidelberg, Germany

[2] Chalmers, Dept Appl Mech, S-41296 Gothenburg, Sweden

[3] Helsinki Univ Technol, Inst Math, Helsinki 02015, Finland

来源：

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2003年 / 37卷 / 02期

关键词：

Nitsche's method; domain decomposition; non-matching grids;

D O I：

10.1051/m2an:2003023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, we propose and analyse a method for handling interfaces between nonmatching grids based on an approach suggested by Nitsche (1971) for the approximation of Dirichlet boundary conditions. The exposition is limited to self-adjoint elliptic problems, using Poisson's equation as a model. A priori and a posteriori error estimates are given. Some numerical results are included.

引用

页码：209 / 225

页数：17

共 21 条

[1]

[Anonymous], 1989, 3 INT S DOMAIN DECOM

[2] AN INTERIOR PENALTY FINITE-ELEMENT METHOD WITH DISCONTINUOUS ELEMENTS [J].