Year: 2009
Author: B. P. Lamichhane
International Journal of Numerical Analysis and Modeling, Vol. 6 (2009), Iss. 2 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-IJNAM-762
International Journal of Numerical Analysis and Modeling, Vol. 6 (2009), Iss. 2 : pp. 177–192
Published online: 2009-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Mortar finite elements Lagrange multipliers dual space non-matching triangulations mixed formulations saddle point problems.