An efficient hybrid MLFMA-FFT solver for the volume integral equation in case of sparse 3D inhomogeneous dielectric scatterers

DOI10.1016/j.jcp.2008.04.009zbMath1144.78005OpenAlexW2073131730MaRDI QIDQ933312

A. Franchois, J. De Zaeytijd, Ignace Bogaert

Publication date: 21 July 2008

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2008.04.009

zbMATH Keywords

electromagnetic scatteringmethod of momentsvector spherical harmonicshybrid techniquevolume integral equationFFT methodHigh Frequency Multilevel Fast Multipole Algorithmsparse geometries

Mathematics Subject Classification ID

Numerical methods for discrete and fast Fourier transforms (65T50) Electromagnetic theory (general) (78A25) Method of moments applied to problems in optics and electromagnetic theory (78M05)

Related Items (4)

The fast multipole method and Fourier convolution for the solution of acoustic scattering on regular volumetric grids ⋮ Inverse scattering analysis of an elastic half-space by means of the fast volume integral equation method ⋮ Reduced-rank approximations to the far-field transform in the gridded fast multipole method ⋮ A fast volume integral equation method for the direct/inverse problem in elastic wave scattering phenomena

Uses Software

• BLAS
• FFTW
• PIM

Cites Work

• The parallel iterative methods (PIM) package for the solution of systems of linear equations on parallel computers
• Basic Linear Algebra Subprograms for Fortran Usage
• Performing Interpolation and Anterpolation Entirely by Fast Fourier Transform in the 3-D Multilevel Fast Multipole Algorithm
• Electromagnetic scattering by a dielectric body with arbitrary inhomogeneity and anisotropy
• Spherical wave operators and the translation formulas
• A fast multipole method for Maxwell equations stable at all frequencies
• An updated set of basic linear algebra subprograms (BLAS)

This page was built for publication: An efficient hybrid MLFMA-FFT solver for the volume integral equation in case of sparse 3D inhomogeneous dielectric scatterers