Accelerating Fast Multipole Methods for the Helmholtz Equation at Low Frequencies

CiSE
1998
Issue No. 3 - July-September
Abstract - Accelerating Fast Multipole Methods for the Helmholtz Equation at Low Frequencies

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	Similar Articles Articles by Leslie Greengard Articles by Jingfang Huang Articles by Vladimir Rokhlin Articles by Stephen Wandzura

July-September 1998 (vol. 5 no. 3)

pp. 32-38

	ASCII Text	x
	Leslie Greengard, Jingfang Huang, Vladimir Rokhlin, Stephen Wandzura, "Accelerating Fast Multipole Methods for the Helmholtz Equation at Low Frequencies," Computing in Science and Engineering, vol. 5, no. 3, pp. 32-38, July-September, 1998.

	BibTex	x
	@article{ 10.1109/99.714591, author = {Leslie Greengard and Jingfang Huang and Vladimir Rokhlin and Stephen Wandzura}, title = {Accelerating Fast Multipole Methods for the Helmholtz Equation at Low Frequencies}, journal ={Computing in Science and Engineering}, volume = {5}, number = {3}, issn = {1070-9924}, year = {1998}, pages = {32-38}, doi = {http://doi.ieeecomputersociety.org/10.1109/99.714591}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }

	RefWorks Procite/RefMan/Endnote	x
	TY - MGZN JO - Computing in Science and Engineering TI - Accelerating Fast Multipole Methods for the Helmholtz Equation at Low Frequencies IS - 3 SN - 1070-9924 SP32 EP38 EPD - 32-38 A1 - Leslie Greengard, A1 - Jingfang Huang, A1 - Vladimir Rokhlin, A1 - Stephen Wandzura, PY - 1998 VL - 5 JA - Computing in Science and Engineering ER -

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/99.714591

The authors present the analytic foundations for a new version of the fast multipole method for the scalar Helmholtz equation in the low-frequency regime. The computational cost of existing FMM implementations is dominated by the expense of translating far-field partial wave expansions to local ones. By developing a new expansion in plane waves, the authors can diagonalize these translation operators. Their approach combines evanescent and propagating plane waves to reduce the computational cost of FMM implementation.

Citation:

Leslie Greengard, Jingfang Huang, Vladimir Rokhlin, Stephen Wandzura, "Accelerating Fast Multipole Methods for the Helmholtz Equation at Low Frequencies," Computing in Science and Engineering, vol. 5, no. 3, pp. 32-38, July-Sept. 1998, doi:10.1109/99.714591

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