刊名:Journal of Computational and Applied Mathematics
出版年:2017
出版时间:15 March 2017
年:2017
卷:313
期:Complete
页码:410-426
全文大小:1651 K
文摘
We consider the approximation of elliptic eigenvalue problem with an interface. The main aim of this paper is to prove the stability and convergence of an immersed finite element method (IFEM) for eigenvalues using Crouzeix–Raviart class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0377042716304551&_mathId=si64.gif&_user=111111111&_pii=S0377042716304551&_rdoc=1&_issn=03770427&md5=8d00bd7d1c674a76fd0623cb776f9a8e" title="Click to view the MathML source">P1class="mathContainer hidden">class="mathCode">-nonconforming approximation. We show that spectral analysis for the classical eigenvalue problem can be easily applied to our model problem. We analyze the IFEM for elliptic eigenvalue problems with an interface and derive the optimal convergence of eigenvalues. Numerical experiments demonstrate our theoretical results.