Year: 2018
Author: Seungwoo Lee, Do Young Kwak, Imbo Sim
Advances in Applied Mathematics and Mechanics, Vol. 10 (2018), Iss. 2 : pp. 424–444
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2016-0189
Advances in Applied Mathematics and Mechanics, Vol. 10 (2018), Iss. 2 : pp. 424–444
Published online: 2018-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: Immersed finite element elasticity problem eigenvalue.