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Article: A novel meshless scheme for solving surface integral equations with flat integral domains

TitleA novel meshless scheme for solving surface integral equations with flat integral domains
Authors
KeywordsElectromagnetic Scattering
Green's Lemma
Integral Equation
Meshless Method
Issue Date2012
Citation
Ieee Transactions On Antennas And Propagation, 2012, v. 60 n. 7, p. 3285-3293 How to Cite?
AbstractNumerical solutions for electromagnetic (EM) integral equations rely on the discretization of integral domains and the use of meshes for geometric description. Meshing geometries is very tedious, especially for complicated structures with many details (tiny parts) and geometric discontinuities (corners or edges), and remeshing could be required in many scenarios. To reduce the costs of generating quality meshes, meshless or mesh-free methods were developed and they have been extensively studied in mechanical engineering though there are less obvious interests in EM community. The meshless methods employ discrete nodes to replace meshes in the description of geometries but the background meshes for integrations are still needed traditionally. In this work, we first address the traditional meshless scheme for solving EM integral equations based on the moving least square (MLS) approximation for unknown currents and the use of background meshes for integrations, and then develop a novel meshless scheme by applying the Green's lemma to the EM surface integral equations with flat domains. The novel scheme transforms a surface integral over a flat domain into a line integral along its boundaries when excluding a singular patch in the domain. Since only the domain boundaries are discretized and no background meshes are needed, the scheme is truly meshless. Numerical examples for EM scattering by flat-surface objects are presented to demonstrate the effectiveness of the novel scheme. © 1963-2012 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/182783
ISSN
2015 Impact Factor: 2.053
2015 SCImago Journal Rankings: 2.130
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorTong, MSen_US
dc.contributor.authorChew, WCen_US
dc.date.accessioned2013-05-02T05:16:50Z-
dc.date.available2013-05-02T05:16:50Z-
dc.date.issued2012en_US
dc.identifier.citationIeee Transactions On Antennas And Propagation, 2012, v. 60 n. 7, p. 3285-3293en_US
dc.identifier.issn0018-926Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/182783-
dc.description.abstractNumerical solutions for electromagnetic (EM) integral equations rely on the discretization of integral domains and the use of meshes for geometric description. Meshing geometries is very tedious, especially for complicated structures with many details (tiny parts) and geometric discontinuities (corners or edges), and remeshing could be required in many scenarios. To reduce the costs of generating quality meshes, meshless or mesh-free methods were developed and they have been extensively studied in mechanical engineering though there are less obvious interests in EM community. The meshless methods employ discrete nodes to replace meshes in the description of geometries but the background meshes for integrations are still needed traditionally. In this work, we first address the traditional meshless scheme for solving EM integral equations based on the moving least square (MLS) approximation for unknown currents and the use of background meshes for integrations, and then develop a novel meshless scheme by applying the Green's lemma to the EM surface integral equations with flat domains. The novel scheme transforms a surface integral over a flat domain into a line integral along its boundaries when excluding a singular patch in the domain. Since only the domain boundaries are discretized and no background meshes are needed, the scheme is truly meshless. Numerical examples for EM scattering by flat-surface objects are presented to demonstrate the effectiveness of the novel scheme. © 1963-2012 IEEE.en_US
dc.languageengen_US
dc.relation.ispartofIEEE Transactions on Antennas and Propagationen_US
dc.subjectElectromagnetic Scatteringen_US
dc.subjectGreen's Lemmaen_US
dc.subjectIntegral Equationen_US
dc.subjectMeshless Methoden_US
dc.titleA novel meshless scheme for solving surface integral equations with flat integral domainsen_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/TAP.2012.2196943en_US
dc.identifier.scopuseid_2-s2.0-84863664837en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-84863664837&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume60en_US
dc.identifier.issue7en_US
dc.identifier.spage3285en_US
dc.identifier.epage3293en_US
dc.identifier.isiWOS:000306138900023-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridTong, MS=11839685700en_US
dc.identifier.scopusauthoridChew, WC=36014436300en_US

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