Singular and hierarchical vector functions for multiscale problems

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

doi:10.1109/APS.2016.7695828

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 proceeding › Conference 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 language	English
Title of host publication	2016 IEEE Antennas and Propagation Society International Symposium
Subtitle of host publication	proceedings
Place of Publication	Piscataway, NJ
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	239-240
Number of pages	2
ISBN (Electronic)	9781509028863, 9781509028856
ISBN (Print)	9781509028870
DOIs	https://doi.org/10.1109/APS.2016.7695828
Publication status	Published - 2016
Externally published	Yes
Event	2016 IEEE Antennas and Propagation Society International Symposium, APSURSI 2016 - Fajardo, Puerto Rico Duration: 26 Jun 2016 → 1 Jul 2016

Publication series

Name
ISSN (Electronic)	1947-1491

Other

Other	2016 IEEE Antennas and Propagation Society International Symposium, APSURSI 2016
Country	Puerto Rico
City	Fajardo
Period	26/06/16 → 1/07/16

Keywords

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

Access to Document

10.1109/APS.2016.7695828

Link to publication in Scopus

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Cite this

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title = "Singular and hierarchical vector functions for multiscale problems",

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.",

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Graglia, RD, Petrini, P, Matekovits, L & Peterson, AF 2016, Singular and hierarchical vector functions for multiscale problems. in 2016 IEEE Antennas and Propagation Society International Symposium: proceedings. Institute of Electrical and Electronics Engineers (IEEE), Piscataway, NJ, pp. 239-240, 2016 IEEE Antennas and Propagation Society International Symposium, APSURSI 2016, Fajardo, Puerto Rico, 26/06/16. https://doi.org/10.1109/APS.2016.7695828

Singular and hierarchical vector functions for multiscale problems. / Graglia, Roberto D.; Petrini, Paolo; Matekovits, Ladislau; Peterson, Andrew F.

2016 IEEE Antennas and Propagation Society International Symposium: proceedings. Piscataway, NJ : Institute of Electrical and Electronics Engineers (IEEE), 2016. p. 239-240.

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

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