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Article: Error analysis of the moment method

TitleError analysis of the moment method
Authors
KeywordsAccuracy
Boundary Element Methods
Condition Number
Electromagnetic Scattering
Error Analysis
Integral Equations
Matrix Inversion
Moment Methods
Radar Cross Section
Sobolev Norm
Surface Current
Issue Date2004
Citation
Ieee Antennas And Propagation Magazine, 2004, v. 46 n. 6, p. 38-53 How to Cite?
AbstractBecause of the widespread use of the Method of Moments for simulation of radiation and scattering problems, analysis and control of solution error is a significant concern in computational electromagnetics. The physical problem to be solved, its mesh representation, and the numerical method all impact accuracy. Although empirical approaches such as benchmarking are used almost exclusively in practice for code validation and accuracy assessment, a number of significant theoretical results have been obtained in recent years, including proofs of convergence and solution-error estimates. This paper reviews fundamental concepts such as types of error measures, properties of the problem and numerical method that affect error, the optimality principle, and basic approximation error estimates. Analyses are given for surface-current and scattering-amplitude errors for several scatterers, including the effects of edge and corner singularities and quadrature error. We also review results on ill-conditioning due to resonance effects and the convergence rates of iterative linear-system solutions. © 2004 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/182703
ISSN
2015 Impact Factor: 0.896
2015 SCImago Journal Rankings: 1.016
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorWarnick, KFen_US
dc.contributor.authorChew, WCen_US
dc.date.accessioned2013-05-02T05:16:31Z-
dc.date.available2013-05-02T05:16:31Z-
dc.date.issued2004en_US
dc.identifier.citationIeee Antennas And Propagation Magazine, 2004, v. 46 n. 6, p. 38-53en_US
dc.identifier.issn1045-9243en_US
dc.identifier.urihttp://hdl.handle.net/10722/182703-
dc.description.abstractBecause of the widespread use of the Method of Moments for simulation of radiation and scattering problems, analysis and control of solution error is a significant concern in computational electromagnetics. The physical problem to be solved, its mesh representation, and the numerical method all impact accuracy. Although empirical approaches such as benchmarking are used almost exclusively in practice for code validation and accuracy assessment, a number of significant theoretical results have been obtained in recent years, including proofs of convergence and solution-error estimates. This paper reviews fundamental concepts such as types of error measures, properties of the problem and numerical method that affect error, the optimality principle, and basic approximation error estimates. Analyses are given for surface-current and scattering-amplitude errors for several scatterers, including the effects of edge and corner singularities and quadrature error. We also review results on ill-conditioning due to resonance effects and the convergence rates of iterative linear-system solutions. © 2004 IEEE.en_US
dc.languageengen_US
dc.relation.ispartofIEEE Antennas and Propagation Magazineen_US
dc.subjectAccuracyen_US
dc.subjectBoundary Element Methodsen_US
dc.subjectCondition Numberen_US
dc.subjectElectromagnetic Scatteringen_US
dc.subjectError Analysisen_US
dc.subjectIntegral Equationsen_US
dc.subjectMatrix Inversionen_US
dc.subjectMoment Methodsen_US
dc.subjectRadar Cross Sectionen_US
dc.subjectSobolev Normen_US
dc.subjectSurface Currenten_US
dc.titleError analysis of the moment methoden_US
dc.typeArticleen_US
dc.identifier.emailChew, WC: wcchew@hku.hken_US
dc.identifier.authorityChew, WC=rp00656en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1109/MAP.2004.1396735en_US
dc.identifier.scopuseid_2-s2.0-14644401741en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-14644401741&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume46en_US
dc.identifier.issue6en_US
dc.identifier.spage38en_US
dc.identifier.epage53en_US
dc.identifier.isiWOS:000226945300003-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridWarnick, KF=7003381644en_US
dc.identifier.scopusauthoridChew, WC=36014436300en_US

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