Wavelet-Galerkin method for plane elastostatics

被引：0

作者：

Dumont, Serge ^{[1
]}

Lebon, Frederic ^{[2
]}

机构：

[1] Fac Math & Informat, F-80039 Amiens, France

[2] Univ Montpellier 2, Lab Mecan & Genie Civil, F-34095 Montpellier, France

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 1999年 / 18卷 / 02期

关键词：

Elastostatics; wavelet transform; fictitious domains; augmented Lagrangian;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to anew algorithm to solve elastostatics problems on any shape domain. Our approach is based on a wavelet-Galerlcin method. Due to the form of the wavelet bases, the general domain is included in a square fictitious domain, and the initial problem is extended over this square. The boundary conditions are imposed by an augmented Lagrangian method. Numerical examples are presented. Comparisons are done with analytic solutions and with finite element computations.

引用

页码：131 / 148

页数：18

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