NDLI: BT-POD: A parallel and error-controllable wideband model reduction method for frequency-domain simulations

Content Provider	IEEE Xplore Digital Library
Author	Wei Wang Paraschos, G.N. Vouvakis, M.N.
Copyright Year	2009
Description	Author affiliation: Dept. of Electrical and Computer Engineering, University of Massachusetts, Amherst, 01003, USA (Paraschos, G.N.; Vouvakis, M.N.)
Abstract	Ultra Wide Band (UWB) electromagnetic (EM) systems are ubiquitous in computing, communication and sensing applications. The design of such systems is often performed with time-domain or model order reduction (MOR) frequency-domain computational EM techniques. This paper will present a new MOR method that will be used in conjunction with the tangential vector finite elements (TVFEM) for the analysis of lossless, lossy, and infinitely periodic EM systems. Among MOR methods the Krylov subspace (or moment matching) techniques [1] have attracted much of the CEM community's attention because they are computationally efficient. Unfortunately, these methods do not offer error controls and indicators, and the inherent orthogonalization of the relatively large basis set often brakes-down and is difficult to parallelize. On the other extreme, the singular value decomposition (SVD) MOR methods [2] are very robust and offer error controls, but are computationally prohibitive since they require the solution of two Lyapunov equations. This paper introduces a hybrid SVD-Krylov technique based on the Balanced Truncation - Proper Orthogonal Decomposition (BT-POD). The method combines the best features of the two categories, namely offers error controls and indicators while preserving the efficiency of Krylov MOR. The most time consuming step related to the POD sampling is embarrassingly parallel, making the method suitable for multi-core computing. The method is related to the Principal Component Analysis (PCA) of pattern recognition and machine learning, and shares the same spirit with the low-rank POD of Willcox et.al. [3], Phillips' poor-man's TBR [4]. and the Choleski Factor -Alternating Direction Implicit (CF-ADI) algorithm [5].
Starting Page	1
Ending Page	4
File Size	4052730
Page Count	4
File Format	PDF
ISBN	9781424436477
ISSN	15223965
DOI	10.1109/APS.2009.5172213
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-06-01
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Reduced order systems Concurrent computing Pervasive computing Frequency domain analysis Error correction Ultra wideband communication Principal component analysis Machine learning algorithms Observability Computer errors
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

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