Immersed Finite Element Method for Eigenvalue Problems in Elasticity

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We consider the approximation of eigenvalue problems for elasticity equations with interface. This kind of problems can be efficiently discretized by using immersed finite element method (IFEM) based on Crouzeix-Raviart P1-nonconforming element. The stability and the optimal convergence of IFEM for solving eigenvalue problems with interface are proved by adopting spectral analysis methods for the classical eigenvalue problem. Numerical experiments demonstrate our theoretical results.
Publisher
GLOBAL SCIENCE PRESS
Issue Date
2018-04
Language
English
Article Type
Article
Keywords

DISCONTINUOUS GALERKIN APPROXIMATION; INTERFACE PROBLEMS; SPECTRAL APPROXIMATION; CRACK-GROWTH; LOWER BOUNDS; DOMAINS; EIGENPROBLEM; FORMULATION; SIMULATION; BOUNDARIES

Citation

ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, v.10, no.2, pp.424 - 444

ISSN
2070-0733
DOI
10.4208/aamm.OA-2016-0189
URI
http://hdl.handle.net/10203/241565
Appears in Collection
MA-Journal Papers(저널논문)
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