Time-dependent variational inequalities for viscoelastic contact problems

Weimin Han; Mircea Sofonea

doi:10.1016/s0377-0427(00)00627-0

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Time-dependent variational inequalities for viscoelastic contact problems

Journal article

Open access

Time-dependent variational inequalities for viscoelastic contact problems

Weimin Han and Mircea Sofonea

Journal of Computational and Applied Mathematics, Vol.136(1-2), pp.369-387

11/01/2001

DOI: 10.1016/s0377-0427(00)00627-0

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Abstract

We consider a class of abstract evolutionary variational inequalities arising in the study of contact problems for viscoelastic materials. We prove an existence and uniqueness result, using standard arguments of time-dependent elliptic variational inequalities and Banach's fixed point theorem. We then consider numerical approximations of the problem. We use the finite element method to discretize the spatial domain and we introduce spatially semi-discrete and fully discrete schemes. For both schemes, we show the existence of a unique solution, and derive error estimates. Finally, we apply the abstract results to the analysis and numerical approximations of a viscoelastic contact problem with normal compliance and friction.

Computational Mathematics

Applied Mathematics

Details

Title: Subtitle: Time-dependent variational inequalities for viscoelastic contact problems
Creators: Weimin Han
Mircea Sofonea
Resource Type: Journal article
Publication Details: Journal of Computational and Applied Mathematics, Vol.136(1-2), pp.369-387
DOI: 10.1016/s0377-0427(00)00627-0
ISSN: 0377-0427
Publisher: Elsevier BV
Language: English
Date published: 11/01/2001
Academic Unit: Mathematics
Record Identifier: 9983985710702771

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