Convergence analysis and error estimates of the element-free Galerkin method for the second kind of elliptic variational inequalities

This paper is presented for the convergence analysis of the element-free Galerkin method for the second kind of elliptic variational inequalities, of which the Dirichlet boundary conditions are imposed by the penalty method. The error estimates illustrate that the convergence order depends not only on the nodal spacing and the number of basis functions in the moving least-squares approximation but also the penalty factor. A numerical example verifies the theoretical results of the element-free Galerkin method. (C) 2019 Elsevier Ltd. All rights reserved.