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Immersed Finite Element Method for Eigenvalue Problems in Elasticity

Immersed Finite Element Method for Eigenvalue Problems in Elasticity
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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.

Author Details

Seungwoo Lee

Do Young Kwak

Imbo Sim

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