A new family of mixed finite elements for the linear elastodynamic problem

被引：75

作者：

Bécache, E ^{[1
]}

Joly, P ^{[1
]}

Tsogka, C ^{[1
]}

机构：

[1] Inst Natl Rech Informat & Automat, F-78153 Le Chesnay, France

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2002年 / 39卷 / 06期

关键词：

mixed finite elements; mass lumping; elastodynamics;

D O I：

10.1137/S0036142999359189

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct and analyze a new family of quadrangular (in two dimensions) or cubic (in three dimensions) mixed finite elements for the approximation of elastic wave equations. Our elements lead to explicit schemes (via mass lumping), after time discretization, including in the case of anisotropic media. Error estimates are given for these new elements.

引用

页码：2109 / 2132

页数：24

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