A multiscale method for the heterogeneous Signorini problem

In this paper, we develop a multiscale method for solving the Signorini problem with heterogeneous field. The is encountered in many applications, such as hydrostatics, thermics, and solid mechanics. It well-known that numerically requires fine computational mesh, which can lead to large number of degrees freedom. aim work new hybrid based on framework generalized finite element (GMsFEM). construction basis functions local spectral decomposition. Additional related contact boundary are required so our handle unilateral condition type naturally. A complete analysis proposed provided result convergence shown. Numerical results validate theoretical findings.