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Tuesday, August 4, 2020 | History

5 edition of Fast Multipole Methods for the Helmholtz Equation in Three Dimensions (Elsevier Series in Electromagnetism) found in the catalog.

# Fast Multipole Methods for the Helmholtz Equation in Three Dimensions (Elsevier Series in Electromagnetism)

## by Nail A Gumerov

Written in English

The Physical Object
Number of Pages426
ID Numbers
Open LibraryOL7312725M
ISBN 100080443710
ISBN 109780080443713

Greengard L, Huang J, Rokhlin V, Wandzura S. Accelerating fast multipole methods for the Helmholtz equation at low frequencies. IEEE Comput. Sci. Eng. ; – Gumerov NA, Duraiswami R. A broadband fast multipole accelerated boundary element method for the three dimensional Helmholtz equation. J. Acoust. Soc. Am. ; – 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.

The development of a fast multipole method (FMM) accelerated iterative solution of the boundary element method (BEM) for the Helmholtz equations in three dimensions is described. The FMM for the Helmholtz equation is significantly different for problems with low and high kD (where k is the wavenumber and D the domain size), and for large problems the method . Buy Fast Multipole Methods for the Helmholtz Equation in Three Dimensions by Nail A. Gumerov, Ramani Duraiswami from Waterstones today! Click and Collect from your local Waterstones or get FREE UK delivery on orders over £

Fast Multipole Methods for the Helmholtz Equation in Three Dimensions, () A fast multi-level boundary element method for the Helmholtz equation. Computer Methods in Applied Mechanics and Engineering , This volume in the Elsevier Series in Electromagnetism presents a detailed, in-depth and self-contained treatment of the Fast Multipole Method and its applications to the solution of the Helmholtz equation in three dimensions. The Fast Multipole Method was pioneered by Rokhlin and Greengard in

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### Fast Multipole Methods for the Helmholtz Equation in Three Dimensions (Elsevier Series in Electromagnetism) by Nail A Gumerov Download PDF EPUB FB2

This volume in the Elsevier Series in Electromagnetism presents a detailed, in-depth and self-contained treatment of the Fast Multipole Method and its applications to the solution of the Helmholtz equation in three Fast Multipole Method was pioneered by Rokhlin and Greengard in and has enjoyed a dramatic development and Cited by: Fast Multipole Methods for the Helmholtz Equation in Three Dimensions Nail A Gumerov, Ramani Duraiswami This volume in the Elsevier Series in Electromagnetism presents a detailed, in-depth and self-contained treatment of the Fast Multipole Method and its applications to the solution of the Helmholtz equation in three dimensions.

Issak Mayergoyz, Series Editor, in Fast Multipole Methods for the Helmholtz Equation in Three Dimensions, This volume in the Elsevier Series in Electromagnetism presents a detailed, in-depth and self-contained treatment of the Fast Multipole Method and its applications to the solution of the Helmholtz equation in three dimensions.

The Fast Multipole Method. Fast Multipole Methods for the Helmholtz Equation in Three Dimensions Article (PDF Available) January with Reads How we measure 'reads'. 31 rows  (Some of the material here is now also described in the book Fast Multipole.

Fast Multipole Methods For The Helmholtz Equation In Three Dimensions - Ramani Duraiswami. DOWNLOAD HERE. This volume in the Elsevier Series in Electromagnetism presents a detailed, in-depth and. Fast Multipole Methods for the Helmholtz Equation in Three Dimensions NAIL A.

GUMEROV RAMANI DURAISWAMI University of Maryland Institute for Advanced Computer Studies College Park, Maryland USA Amsterdam Boston Heidelberg London New York Oxford Paris San Diego San Francisco Singapore Sydney Tokyo.

Our group has concentrated on fast multipole methods (FMMs), beginning with the two-dimensional, non-adaptive version in two dimensions: L. Greengard and V. Rokhlin, A Fast Algorithm for Particle Simulations, J. Comput. Phys. 73, (). The speed-up provided by the fully adaptive three-dimensional, scheme.

Fast multipole methods in three dimensions (FMM3D) FMM3D is a set of libraries to compute N-body interactions governed by the Laplace and Helmholtz equations, to a specified precision, in three dimensions, on a multi-core shared-memory machine.

The library is written in Fortran, and has wrappers for C, MATLAB, and Python. As an example, given $$M$$ arbitrary points \(y_j \in \mathbb{R}^{3.

In this paper, we first derive the multipole expansion (ME) and local expansion (LE) for far fields from wave sources in two-dimensional (2-D) layered media as well as the multipole. Fast Multipole Methods for the Helmholtz Equation in Three Dimensions (ISSN) - Kindle edition by Gumerov, Nail A, Duraiswami, Ramani.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Fast Multipole Methods for the Helmholtz Equation in Three Dimensions 5/5(2).

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We presented full version of this book in doc, ePub, DjVu, PDF, txt formats. You may read Fast Multipole Methods for the Helmholtz Equation in Three.

Get this from a library. Fast multipole methods for the Helmholtz equation in three dimensions. [Nail A Gumerov; Ramani Duraiswami] -- "The book can be used both by beginners and experienced professionals for the development and implementation of efficient solutions on computers ranging from personal workstations to.

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.

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.

Greengard, L., Rokhlin, V.: A new version of the fast multipole method for the Laplace equation in three dimensions. Acta Numer. 6, – (). Cambridge University Press, Cambridge Google Scholar. Fast Multipole Methods for Solution of the Helmholtz Equation in Three Dimensions Academic Press, Oxford () (in process).

• For the Helmholtz equation absolute and uniform convergence can be achieved only for p > ka. For large ka the FMM with constant p is. 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, CTUnited States b Department of. The fast multipole method (FMM) is a numerical technique that was developed to speed up the calculation of long-ranged forces in the n-body does this by expanding the system Green's function using a multipole expansion, which allows one to group sources that lie close together and treat them as if they are a single source.

The FMM has also been applied in. The fast multipole method is one of the most important algorithms in computing developed in the 20th century. Along with the fast multipole method, the boundary element method (BEM) has also emerged, as a powerful method for modeling large-scale problems.

BEM models with millions of unknowns on the boundary can now be solved on desktop computers using the fast multipole Reviews: 1. Get this from a library! Fast multipole methods for the Helmholtz equation in three dimensions. [Nail A Gumerov; Ramani Duraiswami] -- This volume in the Elsevier Series in Electromagnetism presents a detailed, in-depth and self-contained treatment of the Fast Multipole Method and its applications to the solution of the Helmholtz.This article reviews several fast algorithms for boundary integral equations.

After a brief introduction of the boundary integral equations for the Laplace and Helmholtz equations, we discuss in order the fast multipole method and its kernel independent variant, the hierarchical matrix framework, the wavelet based method, the high frequency fast multipole method, and .L.

Greengard and J.F. Huang, “A new version of the fast multipole method for screened Coulomb interactions in three dimensions”, Journal of Computational Physics, R. Camassa, J. Huang, and L. Lee, “On a completely integrable numerical scheme for a nonlinear shallow-water wave equation”, Journal of Nonlinear.