Logo image
NUMERICAL ANALYSIS OF A CONTACT PROBLEM IN RATE-TYPE VISCOPLASTICITY
Journal article   Peer reviewed

NUMERICAL ANALYSIS OF A CONTACT PROBLEM IN RATE-TYPE VISCOPLASTICITY

Jiuhua Chen, Weimin Han and Mircea Sofonea
Numerical Functional Analysis and Optimization, Vol.22(5-6), pp.505-527
08/31/2001
DOI: 10.1081/NFA-100105305

View Online

Abstract

In this paper, we consider numerical approximations of a contact problem in rate-type viscoplasticity. The contact conditions are described in term of a subdifferential and include as special cases some classical frictionless boundary conditions. The contact problem consists of an evolution equation coupled with a time-dependent variational inequality. Error estimates for both spatially semi-discrete and fully discrete solutions are derived and some convergence results are shown. Under appropriate regularity assumptions on the exact solution, error estimates are obtained.
AMS Subject Classifications: 65M12; 65M15; 65M60; 65N12; 65N15; 65N60; 74D10; 74S05; 74S20

Details

Metrics

Logo image