Hierarchical and singular bases for finite methods

R. D. Graglia; A. F. Peterson; P. Petrini; L. Matekovits

doi:10.1109/COMPEM.2015.7052543

Hierarchical and singular bases for finite methods

R. D. Graglia, A. F. Peterson, P. Petrini, L. Matekovits

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

Abstract

Hierarchical basis function families that incorporate singular behavior to model fields with corner singularities are reviewed. These families are of the additive kind, and combine a traditional polynomial-complete representation with additional singular terms that incorporate general exponents that may be adjusted for the specific wedge angle of interest. A few results are reported to validate the benefits of using such bases when dealing with two-dimensional structures with corners meshed with triangular cells.

Original language	English
Title of host publication	2015 IEEE International Conference on Computational Electromagnetics, ICCEM 2015
Editors	Kwok Kan So, Hang Wong
Place of Publication	Piscataway, NJ
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	26-29
Number of pages	4
ISBN (Electronic)	9781479962815, 9781479962808
ISBN (Print)	9781479962822
DOIs	https://doi.org/10.1109/COMPEM.2015.7052543
Publication status	Published - 2 Mar 2015
Externally published	Yes
Event	2015 1st IEEE International Conference on Computational Electromagnetics, ICCEM 2015 - Hong Kong, Hong Kong Duration: 2 Feb 2015 → 5 Feb 2015

Other

Other	2015 1st IEEE International Conference on Computational Electromagnetics, ICCEM 2015
Country	Hong Kong
City	Hong Kong
Period	2/02/15 → 5/02/15

Access to Document

10.1109/COMPEM.2015.7052543

Link to publication in Scopus

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Graglia, R. D., Peterson, A. F., Petrini, P., & Matekovits, L. (2015). Hierarchical and singular bases for finite methods. In K. K. So, & H. Wong (Eds.), 2015 IEEE International Conference on Computational Electromagnetics, ICCEM 2015 (pp. 26-29). [7052543] Piscataway, NJ: Institute of Electrical and Electronics Engineers (IEEE). https://doi.org/10.1109/COMPEM.2015.7052543

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abstract = "Hierarchical basis function families that incorporate singular behavior to model fields with corner singularities are reviewed. These families are of the additive kind, and combine a traditional polynomial-complete representation with additional singular terms that incorporate general exponents that may be adjusted for the specific wedge angle of interest. A few results are reported to validate the benefits of using such bases when dealing with two-dimensional structures with corners meshed with triangular cells.",

author = "Graglia, {R. D.} and Peterson, {A. F.} and P. Petrini and L. Matekovits",

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Graglia, RD, Peterson, AF, Petrini, P & Matekovits, L 2015, Hierarchical and singular bases for finite methods. in KK So & H Wong (eds), 2015 IEEE International Conference on Computational Electromagnetics, ICCEM 2015., 7052543, Institute of Electrical and Electronics Engineers (IEEE), Piscataway, NJ, pp. 26-29, 2015 1st IEEE International Conference on Computational Electromagnetics, ICCEM 2015, Hong Kong, Hong Kong, 2/02/15. https://doi.org/10.1109/COMPEM.2015.7052543

Hierarchical and singular bases for finite methods. / Graglia, R. D.; Peterson, A. F.; Petrini, P.; Matekovits, L.

2015 IEEE International Conference on Computational Electromagnetics, ICCEM 2015. ed. / Kwok Kan So; Hang Wong. Piscataway, NJ : Institute of Electrical and Electronics Engineers (IEEE), 2015. p. 26-29 7052543.

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

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AB - Hierarchical basis function families that incorporate singular behavior to model fields with corner singularities are reviewed. These families are of the additive kind, and combine a traditional polynomial-complete representation with additional singular terms that incorporate general exponents that may be adjusted for the specific wedge angle of interest. A few results are reported to validate the benefits of using such bases when dealing with two-dimensional structures with corners meshed with triangular cells.

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