A penalty-free Nitsche method for the weak imposition of boundary conditions in compressible and incompressible elasticity

被引：32
|
作者：
Boiveau, Thomas [1 ]
Burman, Erik [1 ]
机构：
[1] UCL, Dept Math, Gower St, London WC1E 6BT, England
来源：
IMA JOURNAL OF NUMERICAL ANALYSIS | 2016年 / 36卷 / 02期
基金：
英国工程与自然科学研究理事会;
关键词：
Nitsche method; compressible elasticity; incompressible elasticity; stabilized finite element methods; Korn's inequality;
D O I：
10.1093/imanum/drv042
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the stability of the nonsymmetric version of the Nitsche method without penalty for compressible and incompressible elasticity. For the compressible case we prove convergence of the error in the H-1-and L-2-norms. In the incompressible case we use a Galerkin least squares pressure stabilization and we prove convergence in the H-1-norm for the velocity and convergence of the pressure in the L-2-norm.
引用
收藏
页码：770 / 795
页数：26
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