An efficient hybrid MLFMA-FFT solver for the volume integral equation in case of sparse 3D inhomogeneous dielectric scatterers
type: Item
instance of: scholarly article
title: An efficient hybrid MLFMA-FFT solver for the volume integral equation in case of sparse 3D inhomogeneous dielectric scatterers
zbMATH Open document ID: 1144.78005
author: J. De Zaeytijd
author: A. Franchois
author: I. Bogaert
published in: Journal of Computational Physics
publication date: 2008-07-21T00:00:00Z
review text: In this paper it is presented a new High Frequency Multilevel Fast Multipole Algorithm (MLFMA) combined with the fast Fourier transform (FFT). The method combines the advantages of these two tools on volumetric scattering problems which can be meshed using a uniform grid. An approach employing vector spherical harmonics to represent the radiation patterns on the lowest level in combination with a FFT interpolation scheme for the vector MLFMA is also introduced in the present paper. Several numerical validations conclude the paper.
reviewed by: Teodora-Liliana Rădulescu
Mathematics Subject Classification ID: 78A25
Mathematics Subject Classification ID: 65T50
Mathematics Subject Classification ID: 78M05
zbMATH DE Number: 5303098
zbMATH Keywords: volume integral equation
zbMATH Keywords: method of moments
zbMATH Keywords: FFT method
zbMATH Keywords: High Frequency Multilevel Fast Multipole Algorithm
zbMATH Keywords: vector spherical harmonics
zbMATH Keywords: sparse geometries
zbMATH Keywords: hybrid technique
zbMATH Keywords: electromagnetic scattering
describes a project that uses: PIM
describes a project that uses: BLAS
describes a project that uses: FFTW
MaRDI profile type: Publication
full work available at URL: j.jcp.2008.04.009
OpenAlex ID: W2073131730
cites work: Electromagnetic scattering by a dielectric body with arbitrary inhomogeneity and anisotropy
cites work: A fast multipole method for Maxwell equations stable at all frequencies
cites work: The parallel iterative methods (PIM) package for the solution of systems of linear equations on parallel computers
cites work: Performing Interpolation and Anterpolation Entirely by Fast Fourier Transform in the 3-D Multilevel Fast Multipole Algorithm
cites work: Spherical wave operators and the translation formulas
cites work: Basic Linear Algebra Subprograms for Fortran Usage
cites work: An updated set of basic linear algebra subprograms (BLAS)
DOI: 10.1016/J.JCP.2008.04.009
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description: scientific article; zbMATH DE number 5303098