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A study of the fast wavelet transform method in computational electromagnetics

机译:计算电磁学中的快速小波变换方法研究

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摘要

A fast non-similarity wavelet transform method, proposed earlier by the authors, is further studied. Combined with conventional techniques such as the method of moments, the boundary element method and the finite element method, the wavelet transform method can effectively handle a wide range of complicated problems which involve various complex media and conductors. The computational complexity and the CPU time for the proposed technique are presented. Studies further show that the use of non-similarity nonorthonormal cardinal spline wavelet (NS-NCSW) transform, although does not seem to reduce the computational complexity, can save a great amount of CPU time and computer memory. Numerical experiments are presented to demonstrate the merits of the proposed technique.
机译:笔者较早提出的一种快速非相似性小波变换方法得到了进一步的研究。结合矩量法,边界元法和有限元法等常规技术,小波变换方法可以有效地处理涉及各种复杂介质和导体的各种复杂问题。提出了该技术的计算复杂度和CPU时间。研究进一步表明,使用非相似性非正交基数样条小波(NS-NCSW)变换虽然似乎并没有降低计算复杂性,但可以节省大量CPU时间和计算机内存。数值实验表明了所提出技术的优点。

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