A quasi-optimal a priori error estimate for the two-dimensional Signorini problem approximated by linear finite elements

The aim of this Note is to present a quasi-optimal a priori error estimate for the linear finite element approximation of the so-called two-dimensional Signorini problem, i.e. the equilibrium of a plane linearly elastic body in contact with a rigid foundation. Previous works on that subject give either non-optimal estimates or with a more restrictive supplementary condition on the solution. (C) 2012 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.