On the inf-sup condition of mixed finite element formulations for acoustic fluids

被引：13

作者：

Bao, WZ

Wang, XD

Bathe, KJ

机构：

[1] Natl Univ Singapore, Dept Computat Sci, Singapore 117543, Singapore

[2] Polytech Univ, Dept Mech Engn, Brooklyn, NY 11201 USA

[3] MIT, Dept Mech Engn, Cambridge, MA 02139 USA

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2001年 / 11卷 / 05期

关键词：

D O I：

10.1142/S0218202501001161

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The objective of this paper is to present a study of the solvability, stability and optimal error bounds of certain mixed finite element formulations for acoustic fluids. An analytical proof of the stability and optimal error bounds of a set of three-field mixed finite element discretizations is given, and the interrelationship between the inf-sup condition, including the numerical inf-sup test, and the eigenvalue problem pertaining to the natural frequencies is discussed.

引用

页码：883 / 901

页数：19

共 22 条

[1]

Bathe K.J., 2006, Finite Element Procedures

[2] A MIXED DISPLACEMENT-BASED FINITE-ELEMENT FORMULATION FOR ACOUSTIC FLUID-STRUCTURE INTERACTION [J].