An analysis of new mixed finite elements for the approximation of wave propagation problems

被引：116

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 | 2000年 / 37卷 / 04期

关键词：

mixed finite elements; mass lumping; anisotropic waves;

D O I：

10.1137/S0036142998345499

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 rectangular (two-dimensional) or cubic (three-dimensional) mixed finite elements for the approximation of the acoustic wave equations. The main advantage of this element is that it permits us to obtain through mass lumping an explicit scheme even in an anisotropic medium. Nonclassical error estimates are given for this new element.

引用

页码：1053 / 1084

页数：32

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