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We consider numerical approximations of a quasistatic problem modeling the sliding frictional contact with wear between a viscoelastic body and a rigid moving foundation. The contact is modeled with the Coulomb's law of dry friction and the wear is described by a version of Archard's law. The variational formulation of the problem consists of a nonlinear evolutionary equation coupled with a time-dependent variational inequality with nonlinear differential operators, which has a unique solution under certain assumptions on the given data. We derive error estimates for both spatially semi-discrete and fully discrete schemes to solve the problem. Under appropriate regularity assumptions on the exact solution, we establish optimal order error estimates.

Numerical analysis of a quasistatic problem of sliding frictional contact with wear