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Anaysis of convergence and accuracy of the DRBEM for axisymmetric Helmholtz-type equation

机译：轴对称Helmholtz型方程DRUM的收敛性和精度分析

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摘要

This paper presents a study of he convergence properties of a new axisymmetric approximating function. This function, associated with a dual reciprocity boundary element model for axisymmetric helmohltz-type equation, is independent of he wave number in order to avoid occasional singular matrix due to some particular wave numbers. Interpolation functions are derived from the approximating functions. Their properties are studied numerically and their local behavior is illustrated. Numerical tests, carried out in the ast section, show a reasonably good agreement with analytical solutions of two simple aeroacoustic problems. Some criteria concerning he number of nodes per wave length needed to obtain satisfactorily results are also presented.
机译：本文提出了一个新的轴对称逼近函数的收敛性的研究。此函数与轴对称Helmohltz型方程的对等互易边界元模型相关联，独立于波数，以避免由于某些特定波数而偶尔出现奇异矩阵。插值函数是从逼近函数得出的。对它们的性质进行了数值研究，并说明了它们的局部行为。在ast部分进行的数值测试表明，与两个简单的空气声学问题的解析解具有相当好的一致性。还提出了一些关于获得令人满意的结果所需的每波长节点数的标准。

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