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Nonconforming mixed variational formulation and domain decomposition for unilateral problems. (English) Zbl 0923.73061
Summary: We deal with the domain decomposition method with nonmatching grids for unilateral contact problem without friction between two deformable bodies. The unilateral contact conditions at the interface are expressed by using a mixed formulation. Optimal error bound is obtained in this case.

74S05 Finite element methods applied to problems in solid mechanics
74S30 Other numerical methods in solid mechanics (MSC2010)
74P10 Optimization of other properties in solid mechanics
74A55 Theories of friction (tribology)
74M15 Contact in solid mechanics
65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs