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Computational Methods in Applied Mathematics

Editor-in-Chief: Carstensen, Carsten

Managing Editor: Matus, Piotr

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Volume 3, Issue 1 (Jan 2003)


Non-conforming Computational Methods for Mixed Elasticity Problems

Faker Ben Belgacem
  • Laboratoire Jacaues-Louis Lions (UMR 7798), BC 187, 75252 PARIS, FRANCE.
  • Email:
Lawrence K. Chilton
  • Department of Mathematics and Statistics, Air Force Institute of Technology, WPAFB, OH 45433, U.S.A..
  • Email:
Padmanabhan Seshaiyer
  • Email:


In this paper, we present a non-conforming hp computational modeling methodology for solving elasticity problems. We consider the incompressible elasticity model formulated as a mixed displacement-pressure problem on a global domain which is partitioned into several local subdomains. The approximation within each local subdomain is designed using div-stable hp-mixed finite elements. The displacement is computed in a mortared space while the pressure is not subjected to any constraints across the interfaces. Our computational results demonstrate that the non-conforming finite element method presented for the elasticity problem satisfies similar rates of convergence as the conforming finite element method, in the presence of various h-version and p-version discretizations.

Keywords: h-version; p-version; non-conforming; mortar elements; mixed methods

About the article

Received: 2003-01-05

Revised: 2003-02-25

Accepted: 2003-03-26

Published in Print:

Citation Information: Computational Methods in Applied Mathematics Comput. Methods Appl. Math., ISSN (Online) 1609-9389, ISSN (Print) 1609-4840, DOI: https://doi.org/10.2478/cmam-2003-0003. Export Citation

© Institute of Mathematics, NAS of Belarus. This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY-NC-ND 4.0)

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