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A Mixed Finite Element Method for the Contact Problem in Elasticity

A Mixed Finite Element Method for the Contact Problem in Elasticity

Year:    2005

Journal of Computational Mathematics, Vol. 23 (2005), Iss. 4 : pp. 441–448

Abstract

Based on the analysis of [7] and [10], we present the mixed finite element approximation of the variational inequality resulting from the contact problem in elasticity. The convergence rate of the stress and displacement field are both improved from O(h3/4) to quasi-optimal O(h|logh|1/4). If stronger but reasonable regularity is available, the convergence rate can be optimal O(h).  

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2005-JCM-8830

Journal of Computational Mathematics, Vol. 23 (2005), Iss. 4 : pp. 441–448

Published online:    2005-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    Contact problem Mixed finite element method.