Projective SOR-Procedures for Signorini Problems in Linear Elasticity

Andreas Schroeder , Heribert Blum

Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 08-11, 25

MSC 2000

49M20 Methods of relaxation type

Abstract
In this work, we present a new SOR-procedure with projection for solving quadratic optimization problems resulting from Signorini Problems in linear elasticity. The procedure is based on a variable transformation and exploits the sparsity structure of problems which are obtained by finite element discretizations. An accelerated variant of the procedure is presented which is based on a CG-like method. The convergence of the procedures is proven and numerical results are discussed in the context of contact problems.