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Fast multipole methods for the Helmholtz equation in three dimensions by Nail A. Gumerov

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Published by Elsevier in Amsterdam, London .
Written in English

Subjects:

  • Helmholtz equation.

Book details:

Edition Notes

Includes bibliographical references (p. 509-513) and index.

StatementNail A. Gumerov, Ramani Duraiswami.
SeriesElsevier series in electromagnetism
ContributionsDuraiswami, Ramani.
Classifications
LC ClassificationsQA377 .G85 2004
The Physical Object
Paginationxxix, 520 p. :
Number of Pages520
ID Numbers
Open LibraryOL22632171M
ISBN 100080443710

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Fast Multipole Methods for the Helmholtz Equation in Three Dimensions A Volume in the Elsevier Series in Electromagnetism Elsevier Science Internet Homepage – Consult the Elsevier homepage for full catalogue information on all books, journals and electronic products and services. Fast Multipole Methods for the Helmholtz Equation in Three Dimensions. Helmholtz equation in three dimensions. The Fast Multipole Method was pioneered by . Abstract: The authors describe a diagonal form for translating far-field expansions to use in low frequency fast multipole methods. Their approach combines evanescent and propagating plane waves to reduce the computational cost of FMM implementation. More specifically, we present the analytic foundations for a new version of the fast multipole method for the scalar Helmholtz equation in the.   A new version of the Fast Multipole Method for the Laplace equation in three dimensions - Volume 6 - Leslie Greengard, Vladimir Rokhlin Skip to main content Accessibility help We use cookies to distinguish you from other users and to provide you with a .

1 Fast Multipole Method Instead of discussing the potential (x i) We outline the implementation process of nding the potential from Equation Given the points fX jgN j=1 in domain 2R 2 includes a deeper discussion of application to Laplace’s equation as well as an application to Helmholtz equation.   We describe a wideband version of the Fast Multipole Method for the Helmholtz equation in three dimensions. It unifies previously existing versions of the FMM for high and low frequencies into an algorithm which is accurate and efficient for any frequency, having a CPU time of O(N) if low-frequency computations dominate, or O(N log N) if high-frequency computations dominate. Book Released. On Janu the Elsevier Ltd. officially published our book Fast Multipole Methods for the Helmholtz Equation in Three Dimensions (sales start on Ma ). It is available for orders right now via the link posted below. Please visit it for abstract, order, or feedback. The fast multipole method for solving integral equations of three-dimensional topography and basin problems Hiroyuki Fujiwara National Research Institute for Earth Science and Disaster Prevention, Science and Technology Agency, Tennodai, Tsukuba, Ibaraki , Japan.

A wideband fast multipole method for the Helmholtz equation in three dimensions Hongwei Cheng a, William Y. Crutchfield a, Zydrunas Gimbutas a, Leslie F. Greengard c, J. Frank Ethridge a, Jingfang Huang d, Vladimir Rokhlin b, Norman Yarvin a,*, Junsheng Zhao a a Plain Sight Systems, Sherman Avenue, Hamden, CT , United States b Department of Computer Science, Yale University, New.   The development of a fast multipole method (FMM) accelerated iterative solutionof the boundary element method(BEM)for the Helmholtz equationsin three dimensions is described. This is the first book on the fast multipole BEM, which brings together the classical theories in BEM formulations and the recent development of the fast multipole method. Two- and three-dimensional potential, elastostatic, Stokes flow, and acoustic wave problems are covered, supplemented with exercise problems and computer source codes.   Abstract. We are interested in the resolution of the 3D Helmholtz equation for real applications. Solving this problem numerically is a computational challenge due to the large memory requirements of the matrices and vectors these cases, the massive parallelism of GPU architectures and the high performance at lower energy of the multicores can be exploited.