Qualitative behaviour of solutions of Signorini problem with perturbing the unknown boundary: II. The multigrid method

摘要

Computational method for the Signorini problem in 2D is presented. Using qualitative properties of the solution on a perturbed boundary the iteration method for finding of the unknown boundary Γc is constructed. In the first part of the method the boundary ac=∂Γc is localized within two mesh points of a fixed FE mesh. In the second part introducing the new multigrid algorithm the value ac is accurated. Convergence of the method is illustrated on the concrete examples.