Inf-sup stable finite-element pairs based on dual meshes and bases for nearly incompressible elasticity

被引：22

作者：

Lamichhane, Bishnu P. ^{[1
]}

机构：

[1] Aston Univ, Dept Engn & Appl Sci, Birmingham B4 7ET, W Midlands, England

来源：

IMA JOURNAL OF NUMERICAL ANALYSIS | 2009年 / 29卷 / 02期

关键词：

mixed finite elements; nodal average pressure; nearly incompressible elasticity; dual bases; dual meshes; PLANAR LINEAR ELASTICITY; MIXED MULTIGRID METHOD; INCOMPATIBLE MODES; STRAIN ANALYSIS; ERROR CONTROL; DIMENSIONS; PART I; FORMULATION; SOLIDS; APPROXIMATION;

D O I：

10.1093/imanum/drn013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider finite-element methods based on simplices to solve the problem of nearly incompressible elasticity. Two different approaches based, respectively, on dual meshes and dual bases are presented, where in both approaches pressure is discontinuous and can be statically condensed out from the system. These novel approaches lead to displacement-based low-order finite-element methods for nearly incompressible elasticity based on rigorous mathematical framework. Numerical results are provided to demonstrate the efficiency of the approach.

引用

页码：404 / 420

页数：17

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