A mathematical model which describes the frictionless contact problem with normal
compliance and unilateral constraint is considered in this paper. The material is elastic.
The contact condition is the normal compliance condition with unilateral constraint.
This mathematical model is solved by the interpolating element-free Galerkin method
numerically. Compared with the element-free Galerkin method, the interpolating element-free
Galerkin method can impose the Dirichlet boundary conditions exactly. Numerical
examples demonstrate the effectiveness of the interpolating element-free Galerkin method.
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