An element-free Galerkin method for the obstacle problem

Abstract An element-free Galerkin (EFG) method is presented for the numerical solution of the obstacle boundary value problem. To deal with the nonlinear inequality governing equations in the problem, a linearization technique is developed. Then, linear boundary value problems are formed and are solved by a stabilized EFG method. Convergence of the presented meshless method is discussed mathematically. Numerical results demonstrate the convergence and efficiency of the method.