Fast simulation of multi-dimensional wave problems by the sparse scheme of the method of fundamental solutions
Fast simulation of multi-dimensional wave problems by the sparse scheme of the method of fundamental solutions
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DOI：
10.1016/j.camwa.2016.05.016
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发表时间：
2016-08
期刊：
影响因子：
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通讯作者：
Ji Lin;C. S. Chen;Chein-Shan Liu;Jun-an Lu
中科院分区：
文献类型：
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作者：
Ji Lin;C. S. Chen;Chein-Shan Liu;Jun-an Lu
本文提出了一种快速模拟多维波浪问题的无网格格式。本方法相当简单和直接。Houbolt方法用于消除空间变量的时间依赖性。然后将原波动问题转化为修正的Helmholtz方程组。稀疏计划的基本解决方案的方法结合本地化的方法的近似特解的空间变量的有效实施。为了证明这种新方法的有效性和简单性，三个数值例子进行了评估，具有良好的性能。
In this work, a meshless scheme is presented for the fast simulation of multi-dimensional wave problems. The present method is rather simple and straightforward. The Houbolt method is used to eliminate the time dependence of spatial variables. Then the original wave problem is converted into equivalent systems of modified Helmholtz equations. The sparse scheme of the method of fundamental solutions in combination with the localized method of approximate particular solutions is employed for efficient implementation of spatial variables. To demonstrate the effectiveness and simplicity of this new approach, three numerical examples have been assessed with excellent performance.