Solution of frictional contact problems using ILU and coarse/fine preconditioners

摘要

In this paper we discuss the efficiency of two preconditioners (incomplete factorization and coarse/fine factorization) to solve non symmetric and ill-conditioned linear systems arising from the resolution of frictional contact problems. Mixed formulation is introduced and generalized Newton method is reviewed. We describe a multilevel interpolation adapted to the coarse/fine preconditioner. Numerical examples are proposed to show strong and weak points associated to both methods and optimal approximations are given to improve their efficiency.