Singular and hierarchical vector functions for multiscale problems

Roberto D. Graglia, Paolo Petrini, Ladislau Matekovits, Andrew F. Peterson

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

Abstract

A number of new hierarchical and singular (scalar and vector) basis functions for field representation in two- and three-dimensional cells have been recently developed and discussed in a set of different papers, and in a new book. The hierarchical functions are designed for adaptive p-refinement on domain meshed with differently shaped cells. The functions guarantee built-in continuity on the common boundaries of adjacent cells for the tangent and normal vector component in the curl- and in the divergence-conforming case, respectively. The polynomial order of the functions may vary from cell to cell to facilitate application to multiscale problems, and to permit one to use cells of large size. At the oral presentation we will review these functions and their key features, and present new results obtained with their use.

Original languageEnglish
Title of host publication2016 IEEE Antennas and Propagation Society International Symposium
Subtitle of host publicationproceedings
Place of PublicationPiscataway, NJ
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Pages239-240
Number of pages2
ISBN (Electronic)9781509028863, 9781509028856
ISBN (Print)9781509028870
DOIs
Publication statusPublished - 2016
Externally publishedYes
Event2016 IEEE Antennas and Propagation Society International Symposium, APSURSI 2016 - Fajardo, Puerto Rico
Duration: 26 Jun 20161 Jul 2016

Publication series

Name
ISSN (Electronic)1947-1491

Other

Other2016 IEEE Antennas and Propagation Society International Symposium, APSURSI 2016
CountryPuerto Rico
CityFajardo
Period26/06/161/07/16

Keywords

  • Finite element methods
  • Moment methods
  • Basis functions
  • Hierarchical basis functions
  • Singular basis functions

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