A New Fictitious Domain Approach Inspired by the Extended Finite Element Method
A New Fictitious Domain Approach Inspired by the Extended Finite Element Method
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DOI：
10.1137/070704435
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发表时间：
2009-02
期刊：
影响因子：
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通讯作者：
J. Haslinger;Y. Renard
中科院分区：
文献类型：
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作者：
J. Haslinger;Y. Renard
本文的目的是提出一种新的虚拟域方法的启发，由Moes，Dolbow和Belytschko在[Internat. J. Numer。方法工程学，46（1999），pp. 131-150]。由于一个额外的稳定技术，获得了最佳的方法。一些先验估计建立和数值实验说明了不同方面的方法。介绍了一个简单的泊松问题的混合Neumann和Dirichlet边界条件。扩展到其他问题或边界条件是相当简单的。
The purpose of this paper is to present a new fictitious domain approach inspired by the extended finite element method introduced by Moes, Dolbow, and Belytschko in [Internat. J. Numer. Methods Engrg., 46 (1999), pp. 131-150]. An optimal method is obtained thanks to an additional stabilization technique. Some a priori estimates are established and numerical experiments illustrate different aspects of the method. The presentation is made on a simple Poisson problem with mixed Neumann and Dirichlet boundary conditions. The extension to other problems or boundary conditions is quite straightforward.