NDLI: Adaptive integral method with fast Gaussian gridding

Content Provider	IEEE Xplore Digital Library
Author	Bakir, O. Bagci, H. Michielssen, E.
Copyright Year	2008
Description	Author affiliation: Dept. of Electr. & Comput. Eng., Michigan Univ., Ann Arbor, MI (Bakir, O.; Bagci, H.; Michielssen, E.)
Abstract	The solution of integral equations pertinent to the analysis of electromagnetic scattering problems via the method of moments (MOM) calls for the solution of linear systems of equations of order N, where N is the number of basis functions used in the expansion of the scatterer current. The classical (i.e. nonaccelerated) iterative solution of adequately preconditioned MOM system requires memory and CPU resources of $O(N^{2}).$ The adaptive integral method (AIM) [1] reduces these memory and CPU requirements to $O(N^{1.5})+gammaO(N)$ and $O(N^{1.5}logN),$ respectively; these estimates are for surface scatterers. Here, the first and the second terms in the memory requirement estimate are due to the storage of matrices and vectors needed for fast Fourier transform (FFT) and the AIM mapping coefficients, respectively. When using conventional AIM mapping methods, i.e. those based on far-field [2, 3] and moment matching [1], gamma scales as $O(M^{3}),$ where M is the number of AIM mapping coefficients per source/basis function along each dimension. When large M are needed to ensure high accuracies, the gammaO(N) mapping component of the schemepsilas memory requirements often overtakes its $O(N^{1.5})$ FFT component, eventually prohibiting the use of AIM for analyzing electrically large problems. In this work, we propose a new technique that incorporates fast Gaussian gridding [4, 5], a recently developed scheme for computing type I nonuniform FFTs (NUFFTs) with low memory requirements, with AIM. In the proposed technique gamma is of O(1), that is, it no longer scales with $O(M^{3})$ as in classical AIM schemes.
Starting Page	1
Ending Page	4
File Size	745350
Page Count	4
File Format	PDF
ISBN	9781424420414
DOI	10.1109/APS.2008.4619432
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-07-05
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Memory management Strontium Moment methods Three dimensional displays Accuracy Integral equations Fast Fourier transforms
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Matching criteria and the accuracy of time domain adaptive integral method

The conjugate-gradient nonuniform fast Fourier transform (CG-NUFFT) method for one- and two-dimensional media

A multilevel interpolating fast integral solver with fast fourier transform acceleration

Comparison between three integral formulations for the 2D-TE scattering problem

Effective interlaced FFT computation scheme for adaptive integral method

Scattering from 3-D multi-layered surfaces using adaptive integral method

Arbitrary shape planar resonator analysis by Galerkin method with edge-accounting basis functions

Gaussian beam launching based on frame decomposition and 3D spectral partition

Application of AIM combined with MN-preconditioner to scattering analysis of arbitrarily shaped planar structures

Adaptive integral method with fast Gaussian gridding

Similar Documents

Matching criteria and the accuracy of time domain adaptive integral method

The conjugate-gradient nonuniform fast Fourier transform (CG-NUFFT) method for one- and two-dimensional media

A multilevel interpolating fast integral solver with fast fourier transform acceleration

Comparison between three integral formulations for the 2D-TE scattering problem

Effective interlaced FFT computation scheme for adaptive integral method

Scattering from 3-D multi-layered surfaces using adaptive integral method

Arbitrary shape planar resonator analysis by Galerkin method with edge-accounting basis functions

Gaussian beam launching based on frame decomposition and 3D spectral partition

Application of AIM combined with MN-preconditioner to scattering analysis of arbitrarily shaped planar structures

Adaptive integral method with fast Gaussian gridding