A penalty-free Nitsche method for the weak imposition of boundary conditions in compressible and incompressible elasticity
A penalty-free Nitsche method for the weak imposition of boundary conditions in compressible and incompressible elasticity
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DOI：
10.1093/imanum/drv042
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发表时间：
2014-07
影响因子：
2.1
通讯作者：
Thomas Boiveau;E. Burman
中科院分区：
文献类型：
--
作者：
Thomas Boiveau;E. Burman
在本文中，我们研究了Nitsche方法的非对称版本在可压缩弹性和不可压缩弹性条件下的稳定性。对于可压缩情况，我们证明了H^1$-和L^2$-范数误差的收敛性。在不可压缩情况下，我们使用伽辽金最小二乘压力镇定方法，并证明了速度在H^1范数上的收敛性和压力在L^2范数上的收敛性。
In this paper, we study the stability of the nonsymmetric version of Nitsche's method without penalty for compressible and incompressible elasticity. For the compressible case we prove the 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 the convergence in the $H^1$-norm for the velocity and convergence of the pressure in the $L^2$-norm.