On volumetric locking in a hybrid symmetric interior penalty method for nearly incompressible linear elasticity on polygonal meshes

被引：1
|
作者：
Koyama, Daisuke [1 ]
Kikuchi, Fumio [2 ]
机构：
[1] Univ Electrocommun, Grad Sch Informat & Engn, 1-5-1 Chofugaoka, Chofu, Tokyo 1828585, Japan
[2] Univ Tokyo, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan
来源：
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS | 2017年 / 34卷 / 02期
关键词：
Hybrid symmetric interior penalty method; Nearly incompressible linear elasticity; Volumetric locking; Lifting term; FINITE-ELEMENT-METHOD; DISCONTINUOUS GALERKIN METHODS; ELLIPTIC PROBLEMS; STOKES EQUATIONS;
D O I：
10.1007/s13160-017-0251-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A hybrid version of a symmetric interior penalty method for nearly incompressible linear elasticity is investigated. When a lifting term is used in the method, the method can be free of volumetric locking. On the other hand, when the lifting term is not used, an interior penalty parameter has to be taken to be of order lambda, the first Lam, parameter, as lambda tends to infinity, in order to guarantee the coercivity of the bilinear form in the method. Taking the interior penalty parameter to be of order lambda leads to volumetric locking phenomena when piecewise linear functions are employed to compute approximate solutions.
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页码：373 / 406
页数：34
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