Dual weighted residual error control for frictional contact problems

Andreas Rademacher , Andreas Schroeder

Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976),

MSC 2000

65N30 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods

65N15 Error bounds

Abstract
In this paper goal-oriented error control based on dual weighted residual error estimations (DWR) is applied to frictional contact problems. A mixed formulation of the contact problem is used to derive a discretization. It relies on the introduction of Lagrange multipliers to capture the frictional contact conditions. The discretization error is estimated in terms of functionals (the quantities of interest) which are evaluated in the displacement field as well as the Lagrange multipliers. Numerical experiments confirm the applicability of the estimates within adaptive schemes.