A local projection stabilization of fictitious domain method for elliptic boundary value problems
A local projection stabilization of fictitious domain method for elliptic boundary value problems
复制标题
椭圆边值问题虚拟域局部投影镇定方法
DOI：
10.1016/j.apnum.2013.10.002
复制
发表时间：
2014
影响因子：
2.8
通讯作者：
Y. Renard
中科院分区：
文献类型：
--
作者：
S. Amdouni;Maher Moakher;Y. Renard
In this paper, a new consistent method based on local projections for the stabilization of a Dirichlet condition is presented in the framework of finite element method with a fictitious domain approach. The presentation is made on the Poisson problem but the theoretical and numerical results can be straightforwardly extended to any elliptic boundary value problem. A numerical comparison is performed with the Barbosa–Hughes stabilization technique. The advantage of the new stabilization technique is to affect only the equation on multipliers and thus to be equation independent.
