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Volume 30, Issue 6
The Adaptive Immersed Interface Finite Element Method for Elasticity Interface Problems

Yanzhen Chang

DOI: 10.4208/jcm.1203-m3869

J. Comp. Math., 30 (2012), pp. 629-642.

Published online: 2012-12

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  • Abstract

In this paper, we propose adaptive finite element methods with error control for solving elasticity problems with discontinuous coefficients. The meshes in the methods do not need to fit the interfaces. We establish a residual-based a posteriori error estimate which is $λ$-independent multiplicative constants; the Lamé constant $λ$ steers the incompressibility. The error estimators are then implemented and tested with promising numerical results which will show the competitive behavior of the adaptive algorithm.

  • Keywords

Adaptive finite element method, Elasticity interface problems.

  • AMS Subject Headings

49J20, 65N30.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-30-629, author = {Yanzhen Chang }, title = {The Adaptive Immersed Interface Finite Element Method for Elasticity Interface Problems}, journal = {Journal of Computational Mathematics}, year = {2012}, volume = {30}, number = {6}, pages = {629--642}, abstract = {

In this paper, we propose adaptive finite element methods with error control for solving elasticity problems with discontinuous coefficients. The meshes in the methods do not need to fit the interfaces. We establish a residual-based a posteriori error estimate which is $λ$-independent multiplicative constants; the Lamé constant $λ$ steers the incompressibility. The error estimators are then implemented and tested with promising numerical results which will show the competitive behavior of the adaptive algorithm.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1203-m3869}, url = {http://global-sci.org/intro/article_detail/jcm/8456.html} }
TY - JOUR T1 - The Adaptive Immersed Interface Finite Element Method for Elasticity Interface Problems AU - Yanzhen Chang JO - Journal of Computational Mathematics VL - 6 SP - 629 EP - 642 PY - 2012 DA - 2012/12 SN - 30 DO - http://doi.org/10.4208/jcm.1203-m3869 UR - https://global-sci.org/intro/article_detail/jcm/8456.html KW - Adaptive finite element method, Elasticity interface problems. AB -

In this paper, we propose adaptive finite element methods with error control for solving elasticity problems with discontinuous coefficients. The meshes in the methods do not need to fit the interfaces. We establish a residual-based a posteriori error estimate which is $λ$-independent multiplicative constants; the Lamé constant $λ$ steers the incompressibility. The error estimators are then implemented and tested with promising numerical results which will show the competitive behavior of the adaptive algorithm.

Yanzhen Chang . (2012). The Adaptive Immersed Interface Finite Element Method for Elasticity Interface Problems. Journal of Computational Mathematics. 30 (6). 629-642. doi:10.4208/jcm.1203-m3869
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