Analysis of the element-free Galerkin method for Signorini problems

摘要

An efficient element-free Galerkin (EFG) method is developed to solve Signorini boundary value problems. The nonlinear inequality Signorini boundary conditions are reduced to a sequence of linear boundary conditions by using a projection iterative scheme. Then, the EFG method is used to deduce discrete system equations. Convergence of the proposed method is discussed. Numerical examples are finally provided to verify the convergence and high computational accuracy of the method.