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Analyzing wave propagation problems with the improved complex variable element-free Galerkin method

机译:改进的无复变元Galerkin方法分析波传播问题

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Two-dimensional wave propagation problems in this paper are analyzed with improved complex variable element-free Galerkin (ICVEFG) method. Improved complex variable moving least-squares (ICVMLS) approximation is applied to construct the shape function, and modified Galerkin weak form of wave propagation problems is used for obtaining the final system equations, then all equations of ICVEFG method for wave propagation problems are obtained. The convergences of ICVEFG method about node distribution and time step are analyzed, and the influences of weight functions, scale parameter of the influence domain and penalty factor on the numerical solutions are discussed. Example problems show that ICVEFG method has higher computational speed with higher precision. (C) 2018 Elsevier Ltd. All rights reserved.
机译:本文采用改进的无复变元Galerkin(ICVEFG)方法分析了二维波传播问题。应用改进的复变量移动最小二乘(ICVMLS)近似构造形状函数,并使用修正的Galerkin弱形式的波传播问题获得最终的系统方程,然后获得所有ICVEFG方法求解波传播问题的所有方程。分析了ICVEFG方法关于节点分布和时间步长的收敛性,讨论了权函数,影响域的尺度参数和惩罚因子对数值解的影响。实例问题表明,ICVEFG方法具有较高的计算速度和较高的精度。 (C)2018 Elsevier Ltd.保留所有权利。

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