The development of hierarchical bases of the additive kind for corner singularities in triangular cells

Roberto D. Graglia*, Andrew F. Peterson, Ladislau Matekovits

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference proceeding contribution

1 Citation (Scopus)

Abstract

Singular basis functions are known to improve the accuracy and convergence of numerical solutions when field singularities are present. Existing singular bases may be classified as substitutive or additive. Additive functions can be shown to provide a robust representation, that can adapt to situations when the field singularity is not produced by a particular excitation. In this presentation, a hierarchical additive type of basis is proposed for corner singularities in two-dimensional electromagnetic field problems. An investigation of the resulting matrix condition numbers is also reported.

Original languageEnglish
Title of host publicationICEAA'12
Subtitle of host publicationProceedings of the 2012 International Conference on Electromagnetics in Advanced Applications
Place of PublicationPiscataway, NJ
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Pages1298-1301
Number of pages4
ISBN (Electronic)9781467303354, 9781467303347
ISBN (Print)9781467303330
DOIs
Publication statusPublished - 2012
Externally publishedYes
Event2012 14th International Conference on Electromagnetics in Advanced Applications, ICEAA 2012 - Cape Town, South Africa
Duration: 2 Sep 20127 Sep 2012

Other

Other2012 14th International Conference on Electromagnetics in Advanced Applications, ICEAA 2012
CountrySouth Africa
CityCape Town
Period2/09/127/09/12

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