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Solving Acoustic Radiation and Scattering based on Coiflet

机译:基于Coiflet的声学辐射和散射

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摘要

In this paper, the acoustic Helmholtz boundary integral equation is solved using Coiflet scaling functions with interpolation approximation property. The scaling functions are utilized as base and test functions in Galerkin method and the expanded coefficients are the values of the function in sampling points, so the number of numerical integral is reduced. Two numerical examples are given and the calculation results agree well with the theoretical results, which show the high accuracy of the estimation and demonstrate validity and applicability of the method.
机译:在本文中,使用具有插值近似特性的Coiflet缩放功能来解决了声学亥姆霍兹边界积分方程。缩放功能用作Galerkin方法中的基础和测试功能,并且扩展系数是采样点中的功能的值,因此减少了数值积分的数量。给出了两个数值例子,计算结果与理论结果完全一致,这表明了估计的高精度,并证明了该方法的有效性和适用性。

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