File Download
  Links for fulltext
     (May Require Subscription)
Supplementary

Article: Optimized operator-splitting methods in numerical integration of Maxwell's equations

TitleOptimized operator-splitting methods in numerical integration of Maxwell's equations
Authors
KeywordsComputational resources
Courant-Friedrichs-Lewy
Finite difference
Large domain
Maxwell's equations
Issue Date2012
PublisherHindawi Publishing Corporation. The Journal's web site is located at http://www.hindawi.com/journals/ijap/
Citation
International Journal Of Antennas And Propagation, 2012, v. 2012 How to Cite?
AbstractOptimized operator splitting methods for numerical integration of the time domain Maxwell's equations in computational electromagnetics (CEM) are proposed for the first time. The methods are based on splitting the time domain evolution operator of Maxwell's equations into suboperators, and corresponding time coefficients are obtained by reducing the norm of truncation terms to a minimum. The general high-order staggered finite difference is introduced for discretizing the three-dimensional curl operator in the spatial domain. The detail of the schemes and explicit iterated formulas are also included. Furthermore, new high-order Padé approximations are adopted to improve the efficiency of the proposed methods. Theoretical proof of the stability is also included. Numerical results are presented to demonstrate the effectiveness and efficiency of the schemes. It is found that the optimized schemes with coarse discretized grid and large Courant-Friedrichs-Lewy (CFL) number can obtain satisfactory numerical results, which in turn proves to be a promising method, with advantages of high accuracy, low computational resources and facility of large domain and long-time simulation. In addition, due to the generality, our optimized schemes can be extended to other science and engineering areas directly. © 2012 Z. X. Huang et al.
Persistent Identifierhttp://hdl.handle.net/10722/137301
ISSN
2015 Impact Factor: 0.75
2015 SCImago Journal Rankings: 0.385
ISI Accession Number ID
Funding AgencyGrant Number
Key National Natural Science Foundation of China60931002
Universities of Natural Science Foundation of Anhui ProvinceKJ2011A002
Funding Information:

This work is supported by the Key National Natural Science Foundation of China (no. 60931002) and Universities of Natural Science Foundation of Anhui Province (no. KJ2011A002).

References

 

DC FieldValueLanguage
dc.contributor.authorHuang, ZXen_HK
dc.contributor.authorWu, XLen_HK
dc.contributor.authorSha, WEIen_HK
dc.contributor.authorWu, Ben_HK
dc.date.accessioned2011-08-26T14:22:46Z-
dc.date.available2011-08-26T14:22:46Z-
dc.date.issued2012en_HK
dc.identifier.citationInternational Journal Of Antennas And Propagation, 2012, v. 2012en_HK
dc.identifier.issn1687-5869en_HK
dc.identifier.urihttp://hdl.handle.net/10722/137301-
dc.description.abstractOptimized operator splitting methods for numerical integration of the time domain Maxwell's equations in computational electromagnetics (CEM) are proposed for the first time. The methods are based on splitting the time domain evolution operator of Maxwell's equations into suboperators, and corresponding time coefficients are obtained by reducing the norm of truncation terms to a minimum. The general high-order staggered finite difference is introduced for discretizing the three-dimensional curl operator in the spatial domain. The detail of the schemes and explicit iterated formulas are also included. Furthermore, new high-order Padé approximations are adopted to improve the efficiency of the proposed methods. Theoretical proof of the stability is also included. Numerical results are presented to demonstrate the effectiveness and efficiency of the schemes. It is found that the optimized schemes with coarse discretized grid and large Courant-Friedrichs-Lewy (CFL) number can obtain satisfactory numerical results, which in turn proves to be a promising method, with advantages of high accuracy, low computational resources and facility of large domain and long-time simulation. In addition, due to the generality, our optimized schemes can be extended to other science and engineering areas directly. © 2012 Z. X. Huang et al.en_HK
dc.languageengen_US
dc.publisherHindawi Publishing Corporation. The Journal's web site is located at http://www.hindawi.com/journals/ijap/en_HK
dc.relation.ispartofInternational Journal of Antennas and Propagationen_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectComputational resources-
dc.subjectCourant-Friedrichs-Lewy-
dc.subjectFinite difference-
dc.subjectLarge domain-
dc.subjectMaxwell's equations-
dc.titleOptimized operator-splitting methods in numerical integration of Maxwell's equationsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1687-5869&volume=2012&spage=Article ID 956431&epage=&date=2011&atitle=Optimized+Operator-Splitting+Methods+in+Numerical+Integration+of+Maxwell%27s+Equationsen_US
dc.identifier.emailSha, WEI:shawei@hku.hken_HK
dc.identifier.authoritySha, WEI=rp01605en_HK
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1155/2012/956431en_HK
dc.identifier.scopuseid_2-s2.0-80052651437en_HK
dc.identifier.hkuros191804en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-80052651437&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume2012en_HK
dc.identifier.spageArticle ID 956431en_US
dc.identifier.epageArticle ID 956431en_US
dc.identifier.isiWOS:000294690200001-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridHuang, ZX=12243904200en_HK
dc.identifier.scopusauthoridWu, XL=50162670500en_HK
dc.identifier.scopusauthoridSha, WEI=34267903200en_HK
dc.identifier.scopusauthoridWu, B=14826202200en_HK

Export via OAI-PMH Interface in XML Formats


OR


Export to Other Non-XML Formats