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An iterative method to solve acoustic scattering problems using a boundary integral equation

机译:一种使用边界积分方程求解声散射问题的迭代方法

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摘要

In this work, a simple iterative method to solve the acoustic scattering/radiation problems using the boundary integral equation (BIE) formulation is presented. The operator equation obtained in the BIE formulation is converted into a matrix equation using the well-known method of moments solution procedure. The present method requires much fewer mathematical operations per iteration when compared to other available iterative methods. Further, the present iterative method can easily handle multiple incident fields, a highly desirable feature not available in any other iterative method, much the same way as direct solution techniques. Several numerical examples are presented to illustrate the efficiency and accuracy of the method.
机译:在这项工作中,提出了一种使用边界积分方程(BIE)公式解决声散射/辐射问题的简单迭代方法。使用众所周知的矩量求解方法,将BIE公式中获得的算子方程转换为矩阵方程。与其他可用的迭代方法相比,本方法每次迭代所需的数学运算少得多。此外,本发明的迭代方法可以容易地处理多个入射场,这是在任何其他迭代方法中均不可用的高度期望的特征,与直接求解技术非常相似。给出了几个数值示例,以说明该方法的效率和准确性。

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