Domain-Decomposition based H1/2 Seminorm Preconditioners for Frictional Contact Problems

Abstract

The bilateral or unilateral contact problem with Coulomb friction between two elastic bodies is considered [1, 12]. An algorithm is introduced to solve the resulting finite element system using a non-overlapping domain decomposition method. This technique enables the transformation of the solution of the global problem to the solution of the elasticity equations for each body separately and the solution of a smaller problem for the contact surface. The solution is obtained by using a successive approximation method, in each step of this algorithm two intermediate problems are solved, the first with prescribed tangential pressure, and the second with prescribed normal pressure[11].