Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 313, Issue -, Pages 410-426Publisher
ELSEVIER
DOI: 10.1016/j.cam.2016.09.035
Keywords
Eigenvalue; Finite elements; Immersed interface
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Funding
- National Research Foundation of Korea (NRF) [2014R1A2A1A11053889]
- National Research Foundation of Korea [2014R1A2A1A11053889] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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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 P-1-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. (C) 2016 Elsevier B.V. All rights reserved.
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