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• W2333164911 abstract "In this paper, a kind of Fast Multipole Boundary Element Method (FM-BEM) based on Legendre series is presented to solve 3-D Helmholtz equation problems. A theorem of multipole expansion is derived and proved for the fundamental solution, which demonstrates the error source and can be widely used in electromagnetics and acoustics problems. The truncation error is analyzed and proved to be controlled by a truncation number p . An approximate expression of p is deduced and proved to be crucial to the computational precision. Through the analysis of all possible influence factors, a refined expression of p is obtained for practical computation." @default.
• W2333164911 created "2016-06-24" @default.
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• W2333164911 date "2012-12-31" @default.
• W2333164911 modified "2023-09-27" @default.
• W2333164911 title "Fast Multipole Boundary Element Method Based on Legendre Series for 3-D Helmholtz Problems" @default.
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• W2333164911 doi "https://doi.org/10.4156/jcit.vol7.issue22.40" @default.
• W2333164911 hasPublicationYear "2012" @default.
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