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Numerical Analysis of a Nonlinear Evolutionary System with Applications in Viscoplasticity

Authors :
Mircea Sofonea
Jiuhua Chen
Weimin Han
Source :
SIAM Journal on Numerical Analysis. 38:1171-1199
Publication Year :
2000
Publisher :
Society for Industrial & Applied Mathematics (SIAM), 2000.

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

ISSN :
10957170 and 00361429
Volume :
38
Database :
OpenAIRE
Journal :
SIAM Journal on Numerical Analysis
Accession number :
edsair.doi...........1836c2f5ab09a716aaecd610b98714b2
Full Text :
https://doi.org/10.1137/s003614299834842x