NDLI: A hierarchical FFT algorithm (HIL-FFT) for the fast analysis of transient electromagnetic scattering phenomena

Content Provider	IEEE Xplore Digital Library
Author	Yilmaz, A.E. Weile, D.S. Han-Ming Jin Michielssen, E.
Copyright Year	1963
Abstract	A fast algorithm for accelerating the time-marching solution of time-domain integral equations pertinent to the analysis of free-space electromagnetic scattering from perfectly conducting, platelike and uniformly meshed structures is presented. The matrix-vector multiplications required by the time-marching scheme are accelerated by use of the fast Fourier transform (FFT). This acceleration is achieved in a multilevel fashion by hierarchically grouping sparse interactions to extract denser pieces that are efficiently evaluated by the FFT. The total computational cost and storage requirements of this algorithm scale as O(N/sub t/N/sub s/log/sup 2/ N/sub s/) and O(N/sup 1.5/), respectively, as opposed to O(N/sub t/N/sub s//sup 2/) and O(N/sub s//sup 2/) for classical time-marching methods (N/sub s/ and N/sub t/ denote the total number of spatial unknowns and time steps, respectively). Simulation results demonstrate the accuracy and efficiency of the algorithm.
Sponsorship	IEEE Antennas and Propagation Society
Starting Page	971
Ending Page	982
Page Count	12
File Size	634687
File Format	PDF
ISSN	0018926X
Volume Number	50
Issue Number	7
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2002-07-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Transient analysis Electromagnetic analysis Algorithm design and analysis Electromagnetic transients Electromagnetic scattering Acceleration Time domain analysis Integral equations Sparse matrices Fast Fourier transforms
Content Type	Text
Resource Type	Article
Subject	Condensed Matter Physics Electrical and Electronic Engineering

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

Fast analysis of transient electromagnetic scattering phenomena using the multilevel plane wave time domain algorithm

Fast analysis of transient scattering in lossy media

Fast solution of mixed-potential time-domain integral equations for half-space environments

Analysis of Low-Frequency Electromagnetic Transients by an Extended Time-Domain Adaptive Integral Method

The multilevel plane wave time domain algorithm for the fast analysis of transient scattering phenomena

Analysis of transient electromagnetic scattering phenomena using a two-level plane wave time-domain algorithm

A hierarchical FFT algorithm (HIL-FFT) for accelerating marching-on-in-time methods

A Single-Boundary Implicit and FFT-Accelerated Time-Domain Finite Element-Boundary Integral Solver

High-order pre-corrected FFT solution for electromagnetic scattering

A hierarchical FFT algorithm (HIL-FFT) for the fast analysis of transient electromagnetic scattering phenomena

Similar Documents

Fast analysis of transient electromagnetic scattering phenomena using the multilevel plane wave time domain algorithm

Fast analysis of transient scattering in lossy media

Fast solution of mixed-potential time-domain integral equations for half-space environments

Analysis of Low-Frequency Electromagnetic Transients by an Extended Time-Domain Adaptive Integral Method

The multilevel plane wave time domain algorithm for the fast analysis of transient scattering phenomena

Analysis of transient electromagnetic scattering phenomena using a two-level plane wave time-domain algorithm

A hierarchical FFT algorithm (HIL-FFT) for accelerating marching-on-in-time methods

A Single-Boundary Implicit and FFT-Accelerated Time-Domain Finite Element-Boundary Integral Solver

High-order pre-corrected FFT solution for electromagnetic scattering

A hierarchical FFT algorithm (HIL-FFT) for the fast analysis of transient electromagnetic scattering phenomena