A Consistent Immersed Finite Element Method for the Interface Elasticity Problems

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We propose a new scheme for elasticity problems having discontinuity in the coefficients. In the previous work (Kwak et al., 2014), the authors suggested a method for solving such problems by finite element method using nonfitted grids. The proposed method is based on the P-1-nonconforming finite element methods with stabilizing terms. In this work, we modify the method by adding the consistency terms, so that the estimates of consistency terms are not necessary. We show optimal error estimates in H-1 and divergence norms under minimal assumptions. Various numerical experiments also show optimal rates of convergence
Publisher
HINDAWI PUBLISHING CORPORATION
Issue Date
2016
Language
English
Article Type
Article
Keywords

DISCONTINUOUS GALERKIN; LINEAR ELASTICITY; ELLIPTIC PROBLEMS

Citation

ADVANCES IN MATHEMATICAL PHYSICS

ISSN
1687-9120
DOI
10.1155/2016/3292487
URI
http://hdl.handle.net/10203/209762
Appears in Collection
MA-Journal Papers(저널논문)
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