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Volume 6, Issue 2
Mortar Finite Elements for Coupling Compressible and Nearly Incompressible Materials in Elasticity

B. P. Lamichhane

Int. J. Numer. Anal. Mod., 6 (2009), pp. 177-192.

Published online: 2009-06

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  • Abstract

We consider the coupling of compressible and nearly incompressible materials within the framework of mortar methods. Taking into account the locking effect, we use a suitable discretization for the nearly incompressible material and work with a standard conforming discretization elsewhere. The coupling of different discretization schemes in different subdomains are handled by flexible mortar techniques. A priori error analysis is carried out for the coupled problem, and several numerical examples are presented. Using dual Lagrange multipliers, the Lagrange multipliers can easily be eliminated by local static condensation.

  • Keywords

Mortar finite elements, Lagrange multipliers, dual space, non-matching triangulations, mixed formulations, saddle point problems.

  • AMS Subject Headings

65N30, 65N55, 74B10

  • Copyright

COPYRIGHT: © Global Science Press

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  • TXT
@Article{IJNAM-6-177, author = {Lamichhane , B. P.}, title = {Mortar Finite Elements for Coupling Compressible and Nearly Incompressible Materials in Elasticity}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2009}, volume = {6}, number = {2}, pages = {177--192}, abstract = {

We consider the coupling of compressible and nearly incompressible materials within the framework of mortar methods. Taking into account the locking effect, we use a suitable discretization for the nearly incompressible material and work with a standard conforming discretization elsewhere. The coupling of different discretization schemes in different subdomains are handled by flexible mortar techniques. A priori error analysis is carried out for the coupled problem, and several numerical examples are presented. Using dual Lagrange multipliers, the Lagrange multipliers can easily be eliminated by local static condensation.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/762.html} }
TY - JOUR T1 - Mortar Finite Elements for Coupling Compressible and Nearly Incompressible Materials in Elasticity AU - Lamichhane , B. P. JO - International Journal of Numerical Analysis and Modeling VL - 2 SP - 177 EP - 192 PY - 2009 DA - 2009/06 SN - 6 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/762.html KW - Mortar finite elements, Lagrange multipliers, dual space, non-matching triangulations, mixed formulations, saddle point problems. AB -

We consider the coupling of compressible and nearly incompressible materials within the framework of mortar methods. Taking into account the locking effect, we use a suitable discretization for the nearly incompressible material and work with a standard conforming discretization elsewhere. The coupling of different discretization schemes in different subdomains are handled by flexible mortar techniques. A priori error analysis is carried out for the coupled problem, and several numerical examples are presented. Using dual Lagrange multipliers, the Lagrange multipliers can easily be eliminated by local static condensation.

Lamichhane , B. P.. (2009). Mortar Finite Elements for Coupling Compressible and Nearly Incompressible Materials in Elasticity. International Journal of Numerical Analysis and Modeling. 6 (2). 177-192. doi:
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