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A Consistent Immersed Finite Element Method for the Interface Elasticity Problems
Joint Authors
Jin, Sangwon
Kwak, Do Y.
Kyeong, Daehyeon
Source
Advances in Mathematical Physics
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-05-09
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Jin, Sangwon& Kwak, Do Y.& Kyeong, Daehyeon. 2016. A Consistent Immersed Finite Element Method for the Interface Elasticity Problems. Advances in Mathematical Physics،Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1095802
Modern Language Association (MLA)
Jin, Sangwon…[et al.]. A Consistent Immersed Finite Element Method for the Interface Elasticity Problems. Advances in Mathematical Physics No. 2016 (2016), pp.1-9.
https://search.emarefa.net/detail/BIM-1095802
American Medical Association (AMA)
Jin, Sangwon& Kwak, Do Y.& Kyeong, Daehyeon. A Consistent Immersed Finite Element Method for the Interface Elasticity Problems. Advances in Mathematical Physics. 2016. Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1095802
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1095802