P. Alart et F. Lebon, SOLUTION OF FRICTIONAL CONTACT PROBLEMS USING ILU AND COARSE FINE PRECONDITIONERS/, Computational mechanics, 16(2), 1995, pp. 98-105
In this paper we discuss the efficiency of two preconditioners (incomp
lete factorization and coarse/fine factorization) to solve non symmetr
ic and ill-conditioned linear systems arising from the resolution of f
rictional contact problems. Mixed formulation is introduced and genera
lized Newton method is reviewed. We describe a multilevel interpolatio
n adapted to the coarse/fine preconditioner. Numerical examples are pr
oposed to show strong and weak points associated to both methods and o
ptimal approximations are given to improve their efficiency.