The finite element discretization of the Signorini's problem leads to inequality constrained minimization problem. In this talk we present a nonlinear element based algebraic multigrid method with special coarsening away from the contact boundary for the solution of this problem. As a smoothing procedure we use the Projected Gauss-Seidel algorithm and for the coarse grid solver - a modification of the Dostal's algorithm. The performance of the resulting method is illustrated by numerical experiments.
This work was performed under the auspices of the U.S. Department of Energy by the University of California, Lawrence Livermore National Laboratory under contract No. W-7405-Eng-48.