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Article: A novel grid-robust higher order vector basis function for the method of moments

TitleA novel grid-robust higher order vector basis function for the method of moments
Authors
KeywordsHigher Order Methods
Method Of Moments
Point Matching
Vector Basis Functions
Issue Date2001
Citation
Ieee Transactions On Antennas And Propagation, 2001, v. 49 n. 6, p. 908-915 How to Cite?
AbstractA set of novel, grid-robust, higher order vector basis functions is proposed for the method-of-moments (MOM) solution of integral equations for three-dimensional (3-D) electromagnetic (EM) problems. These basis functions are defined over curvilinear triangular patches and represent the unknown electric current density within each patch using the Lagrange interpolation polynomials. The highlight of these basis functions is that the Lagrange interpolation points are chosen to be the same as the nodes of the well-developed Gaussian quadratures. As a result, the evaluation of the integrals in the MoM is greatly simplified. Additionally, the surface of an object to be analyzed can be easily meshed because the new basis functions do not require the side of a triangular patch to be entirely shared by another triangular patch, which is a very stringent requirement for traditional vector basis functions. The proposed basis functions are implemented with point matching for the MoM solution of the electric-field in tegral equation, the magnetic-field integral equation, and the combined-field integral equation. Numerical examples are presented to demonstrate the higher order convergence and the grid robustness for defective meshes using the new basis functions.
Persistent Identifierhttp://hdl.handle.net/10722/182652
ISSN
2015 Impact Factor: 2.053
2015 SCImago Journal Rankings: 2.130
References

 

DC FieldValueLanguage
dc.contributor.authorKang, Gen_US
dc.contributor.authorSong, Jen_US
dc.contributor.authorChew, WCen_US
dc.contributor.authorDonepudi, KCen_US
dc.contributor.authorJin, JMen_US
dc.date.accessioned2013-05-02T05:16:17Z-
dc.date.available2013-05-02T05:16:17Z-
dc.date.issued2001en_US
dc.identifier.citationIeee Transactions On Antennas And Propagation, 2001, v. 49 n. 6, p. 908-915en_US
dc.identifier.issn0018-926Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/182652-
dc.description.abstractA set of novel, grid-robust, higher order vector basis functions is proposed for the method-of-moments (MOM) solution of integral equations for three-dimensional (3-D) electromagnetic (EM) problems. These basis functions are defined over curvilinear triangular patches and represent the unknown electric current density within each patch using the Lagrange interpolation polynomials. The highlight of these basis functions is that the Lagrange interpolation points are chosen to be the same as the nodes of the well-developed Gaussian quadratures. As a result, the evaluation of the integrals in the MoM is greatly simplified. Additionally, the surface of an object to be analyzed can be easily meshed because the new basis functions do not require the side of a triangular patch to be entirely shared by another triangular patch, which is a very stringent requirement for traditional vector basis functions. The proposed basis functions are implemented with point matching for the MoM solution of the electric-field in tegral equation, the magnetic-field integral equation, and the combined-field integral equation. Numerical examples are presented to demonstrate the higher order convergence and the grid robustness for defective meshes using the new basis functions.en_US
dc.languageengen_US
dc.relation.ispartofIEEE Transactions on Antennas and Propagationen_US
dc.subjectHigher Order Methodsen_US
dc.subjectMethod Of Momentsen_US
dc.subjectPoint Matchingen_US
dc.subjectVector Basis Functionsen_US
dc.titleA novel grid-robust higher order vector basis function for the method of momentsen_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.doi10.1109/8.931148en_US
dc.identifier.scopuseid_2-s2.0-0035360808en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0035360808&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume49en_US
dc.identifier.issue6en_US
dc.identifier.spage908en_US
dc.identifier.epage915en_US
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridKang, G=36671331600en_US
dc.identifier.scopusauthoridSong, J=7404788341en_US
dc.identifier.scopusauthoridChew, WC=36014436300en_US
dc.identifier.scopusauthoridDonepudi, KC=6603623868en_US
dc.identifier.scopusauthoridJin, JM=7403588231en_US

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