Numerical analysis of a nonlinear evolutionary system with applications in viscoplasticity

Jiuhua Chen; Weimin Han; Mircea Sofonea

doi:10.1137/S003614299834842X

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Numerical analysis of a nonlinear evolutionary system with applications in viscoplasticity

Journal article

Peer reviewed

Numerical analysis of a nonlinear evolutionary system with applications in viscoplasticity

Jiuhua Chen, Weimin Han and Mircea Sofonea

SIAM Journal on Numerical Analysis, Vol.38(4), pp.1171-1199

2001

DOI: 10.1137/S003614299834842X

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Abstract

We consider numerical approximations of a class of abstract nonlinear evolutionary systems arising in the study of quasi-static frictional contact problems for elastic-viscoplastic materials. Both semidiscrete and fully discrete schemes are analyzed. Strong convergence of both approximations is established under minimal solution regularity. The results are applied to two particular frictional contact problems for viscoplastic bodies, where the finite element method is employed to discretize the spatial domain. Under additional regularity assumptions on the exact solution, some error estimates are derived.

Details

Title: Subtitle: Numerical analysis of a nonlinear evolutionary system with applications in viscoplasticity
Creators: Jiuhua Chen
Weimin Han
Mircea Sofonea
Resource Type: Journal article
Publication Details: SIAM Journal on Numerical Analysis, Vol.38(4), pp.1171-1199
DOI: 10.1137/S003614299834842X
ISSN: 0036-1429
eISSN: 1095-7170
Language: English
Date published: 2001
Academic Unit: Mathematics
Record Identifier: 9983985951902771

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