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.

中文翻译：

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障碍问题的无元素Galerkin方法

针对障碍物边界值问题的数值解，提出了一种无元素伽勒金方法。为了解决问题中的非线性不等式控制方程，开发了一种线性化技术。然后，形成线性边界值问题并通过稳定的EFG方法解决。数学上讨论了所提出的无网格方法的收敛性。数值结果证明了该方法的收敛性和有效性。