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The interpolating element-free Galerkin (IEFG) method for three-dimensional potential problems

机译：三维潜在问题的无插值无Galerkin（IEFG）方法

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摘要

In this paper, an interpolating element-free Galerkin (IEFG) method for three-dimensional potential problems is presented based on the improved interpolating moving least-squares (IIMLS) method. The shape function of the IIMLS method satisfies the property of Kronecker delta function, which results in that the boundary conditions are applied directly. Compared with the improved element-free Galerkin (EFG) method, the IEFG method in this paper gives a higher computational accuracy. Moreover, this method also has greater computational efficiency than the improved EFG method under the similar accuracy. For the purposes of demonstration, four numerical examples are solved using the IEFG method to show the advantages of the IEFG method with higher computational accuracy and computational efficiency.
机译：本文基于改进的插值移动最小二乘（IIMLS）方法，提出了一种用于三维潜在问题的无插值无伽勒金（IEFG）方法。 IIMLS方法的形状函数满足Kroneckerδ函数的性质，这导致直接应用边界条件。与改进的无元素伽勒金（EFG）方法相比，本文的IEFG方法具有更高的计算精度。而且，在相似精度下，该方法比改进的EFG方法具有更高的计算效率。为了演示的目的，使用IEFG方法求解了四个数值示例，以显示IEFG方法的优点，具有更高的计算精度和计算效率。

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