An elasto-viscoplastic contact problem: an a posteriori error analysis and computational experiments
J. Fernadez 11 Departamento de Matematica Aplicada I, Universidade de Vigo, ETSI Telecomunicacion, Campus As Lagoas Marcosende s/n, 36310 Vigo, Spain.
Received by the editors December 16, 2009 and, in revised form, October 25, 2010.
In this paper, we reconsider a contact problem between an elasto-viscoplastic body and a deformable obstacle. The contact is modeled by the classical normal compliance contact condition. Then, fully discrete approximations are obtained by using the finite element method to approximate the spatial variable and the forward Euler scheme to discretize time derivatives. An a posteriori error analysis is provided and upper and lower error bounds are obtained. Finally, some two-dimensional numerical simulations are presented to demonstrate the accurary and the behavior of the error estimators.AMS subject classifications: 74C10, 74M15, 74S05, 65M60, 65M15
Key words: Elasto-viscoplasticity, normal compliance contact, fully discrete approximations, a posteriori error estimates, finite elements, numerical simulations.