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ABSTRACT: We present here some mixed strategies to solve numerically the Signorini prob-lems. A general Framework for the discretization of such problems and convergence results in the nearly incompressible case are given. Two and three-dimensional numerical experiments are presented. 2000 Mathematics Subject Classification. 35J85, 74S05, 74M15.Math. Comp. Sci. Ser. Volume. 01/2003; 30:45-52.