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Article: Solution of arbitrarily dimensional matrix equation in computational electromagnetics by fast lifting wavelet-like transform

TitleSolution of arbitrarily dimensional matrix equation in computational electromagnetics by fast lifting wavelet-like transform
Authors
KeywordsArbitrary dimension wavelet matrix transform method
Lifting wavelet-like transform
Method of moments
Wavelet matrix transform
Issue Date2009
PublisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/1430
Citation
International Journal For Numerical Methods In Engineering, 2009, v. 80 n. 8, p. 1124-1142 How to Cite?
AbstractA new wavelet matrix transform (WMT), operated by lifting wavelet-like transform (LWLT), is applied to the solution of matrix equations in computational electromagnetics. The method can speedup the WMT without allocating auxiliary memory for transform matrices and can be implemented with the absence of the fast Fourier transform. Furthermore, to handle the matrix equation of arbitrarily dimension, a new in-space preprocessing technique based on LWLT is constructed to eliminate the limitation in matrix dimension. Complexity analysis and numerical simulation show the superiority of the proposed algorithm in saving CPU time. Numerical simulations for scattering analysis of differently shaped objects are considered to validate the effectiveness of the proposed method. In particular, due to its generality, the proposed preprocessing technique can be extended to other engineering areas and therefore can pave a broad way for the application of the WMT. © 2009 John Wiley & Sons, Ltd.
Persistent Identifierhttp://hdl.handle.net/10722/148902
ISSN
2015 Impact Factor: 2.1
2015 SCImago Journal Rankings: 2.007
ISI Accession Number ID
Funding AgencyGrant Number
Anhui Provincial Natural Science Foundation090412047
Anhui Higher Education Institution of ChinaKJ2008A036
National Natural Science Foundation of China60671051
Funding Information:

The authors wish to acknowledge the anonymous reviewers for their useful comments and constructive suggestions. This work is supported by Anhui Provincial Natural Science Foundation under Grant No. 090412047 and the Natural Science Foundation of the Anhui Higher Education Institution of China under Grant No. KJ2008A036, and partially by the National Natural Science Foundation of China (No.60671051).

References

 

DC FieldValueLanguage
dc.contributor.authorChen, MSen_HK
dc.contributor.authorSha, Wen_HK
dc.contributor.authorWu, XLen_HK
dc.date.accessioned2012-06-20T06:16:13Z-
dc.date.available2012-06-20T06:16:13Z-
dc.date.issued2009en_HK
dc.identifier.citationInternational Journal For Numerical Methods In Engineering, 2009, v. 80 n. 8, p. 1124-1142en_HK
dc.identifier.issn0029-5981en_HK
dc.identifier.urihttp://hdl.handle.net/10722/148902-
dc.description.abstractA new wavelet matrix transform (WMT), operated by lifting wavelet-like transform (LWLT), is applied to the solution of matrix equations in computational electromagnetics. The method can speedup the WMT without allocating auxiliary memory for transform matrices and can be implemented with the absence of the fast Fourier transform. Furthermore, to handle the matrix equation of arbitrarily dimension, a new in-space preprocessing technique based on LWLT is constructed to eliminate the limitation in matrix dimension. Complexity analysis and numerical simulation show the superiority of the proposed algorithm in saving CPU time. Numerical simulations for scattering analysis of differently shaped objects are considered to validate the effectiveness of the proposed method. In particular, due to its generality, the proposed preprocessing technique can be extended to other engineering areas and therefore can pave a broad way for the application of the WMT. © 2009 John Wiley & Sons, Ltd.en_HK
dc.languageengen_US
dc.publisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/1430en_HK
dc.relation.ispartofInternational Journal for Numerical Methods in Engineeringen_HK
dc.subjectArbitrary dimension wavelet matrix transform methoden_HK
dc.subjectLifting wavelet-like transformen_HK
dc.subjectMethod of momentsen_HK
dc.subjectWavelet matrix transformen_HK
dc.titleSolution of arbitrarily dimensional matrix equation in computational electromagnetics by fast lifting wavelet-like transformen_HK
dc.typeArticleen_HK
dc.identifier.emailSha, W:shawei@hku.hken_HK
dc.identifier.authoritySha, W=rp01605en_HK
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1002/nme.2673en_HK
dc.identifier.scopuseid_2-s2.0-70350406418en_HK
dc.identifier.hkuros160192-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-70350406418&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume80en_HK
dc.identifier.issue8en_HK
dc.identifier.spage1124en_HK
dc.identifier.epage1142en_HK
dc.identifier.isiWOS:000271775400005-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridChen, MS=24560485600en_HK
dc.identifier.scopusauthoridSha, W=34267903200en_HK
dc.identifier.scopusauthoridWu, XL=7407066038en_HK

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