The performance of additive singular basis functions for triangles

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

doi:10.1109/ICEAA.2013.6632514

The performance of additive singular basis functions for triangles

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

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

2 Citations (Scopus)

Abstract

In the recent past the authors have developed new hierarchical scalar and vector basis functions for modeling corner singularities in electromagnetic fields. The triangular cell bases (described in other papers) are of the additive kind, with singular bases superimposed with a full set of existing hierarchical nonsingular polynomial basis functions to form the representation. The present work and the Conference presentation are aimed at illustrating the accuracy and cost as the number of degrees of freedom are systematically incremented.

Original language	English
Title of host publication	Proceedings of the 2013 International Conference on Electromagnetics in Advanced Applications (ICEAA)
Subtitle of host publication	ICEAA '13 : 15th edition : including EMS
Place of Publication	Piscataway, NJ
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	1557-1560
Number of pages	4
ISBN (Electronic)	9781467357074, 9781467357050
DOIs	https://doi.org/10.1109/ICEAA.2013.6632514
Publication status	Published - 2013
Externally published	Yes
Event	2013 15th International Conference on Electromagnetics in Advanced Applications, ICEAA 2013 - Turin, Italy Duration: 9 Sept 2013 → 13 Sept 2013

Other

Other	2013 15th International Conference on Electromagnetics in Advanced Applications, ICEAA 2013
Country/Territory	Italy
City	Turin
Period	9/09/13 → 13/09/13

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10.1109/ICEAA.2013.6632514

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Graglia, R. D., Peterson, A. F., Matekovits, L., & Petrini, P. (2013). The performance of additive singular basis functions for triangles. In Proceedings of the 2013 International Conference on Electromagnetics in Advanced Applications (ICEAA): ICEAA '13 : 15th edition : including EMS (pp. 1557-1560). Institute of Electrical and Electronics Engineers (IEEE). https://doi.org/10.1109/ICEAA.2013.6632514

Graglia, Roberto D. ; Peterson, Andrew F. ; Matekovits, Ladislau et al. / The performance of additive singular basis functions for triangles. Proceedings of the 2013 International Conference on Electromagnetics in Advanced Applications (ICEAA): ICEAA '13 : 15th edition : including EMS. Piscataway, NJ : Institute of Electrical and Electronics Engineers (IEEE), 2013. pp. 1557-1560

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title = "The performance of additive singular basis functions for triangles",

abstract = "In the recent past the authors have developed new hierarchical scalar and vector basis functions for modeling corner singularities in electromagnetic fields. The triangular cell bases (described in other papers) are of the additive kind, with singular bases superimposed with a full set of existing hierarchical nonsingular polynomial basis functions to form the representation. The present work and the Conference presentation are aimed at illustrating the accuracy and cost as the number of degrees of freedom are systematically incremented.",

author = "Graglia, {Roberto D.} and Peterson, {Andrew F.} and Ladislau Matekovits and Paolo Petrini",

year = "2013",

doi = "10.1109/ICEAA.2013.6632514",

language = "English",

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booktitle = "Proceedings of the 2013 International Conference on Electromagnetics in Advanced Applications (ICEAA)",

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note = "2013 15th International Conference on Electromagnetics in Advanced Applications, ICEAA 2013 ; Conference date: 09-09-2013 Through 13-09-2013",

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Graglia, RD, Peterson, AF, Matekovits, L & Petrini, P 2013, The performance of additive singular basis functions for triangles. in Proceedings of the 2013 International Conference on Electromagnetics in Advanced Applications (ICEAA): ICEAA '13 : 15th edition : including EMS. Institute of Electrical and Electronics Engineers (IEEE), Piscataway, NJ, pp. 1557-1560, 2013 15th International Conference on Electromagnetics in Advanced Applications, ICEAA 2013, Turin, Italy, 9/09/13. https://doi.org/10.1109/ICEAA.2013.6632514

The performance of additive singular basis functions for triangles. / Graglia, Roberto D.; Peterson, Andrew F.; Matekovits, Ladislau et al.
Proceedings of the 2013 International Conference on Electromagnetics in Advanced Applications (ICEAA): ICEAA '13 : 15th edition : including EMS. Piscataway, NJ: Institute of Electrical and Electronics Engineers (IEEE), 2013. p. 1557-1560.

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

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AB - In the recent past the authors have developed new hierarchical scalar and vector basis functions for modeling corner singularities in electromagnetic fields. The triangular cell bases (described in other papers) are of the additive kind, with singular bases superimposed with a full set of existing hierarchical nonsingular polynomial basis functions to form the representation. The present work and the Conference presentation are aimed at illustrating the accuracy and cost as the number of degrees of freedom are systematically incremented.

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BT - Proceedings of the 2013 International Conference on Electromagnetics in Advanced Applications (ICEAA)

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Graglia RD, Peterson AF, Matekovits L, Petrini P. The performance of additive singular basis functions for triangles. In Proceedings of the 2013 International Conference on Electromagnetics in Advanced Applications (ICEAA): ICEAA '13 : 15th edition : including EMS. Piscataway, NJ: Institute of Electrical and Electronics Engineers (IEEE). 2013. p. 1557-1560 doi: 10.1109/ICEAA.2013.6632514

The performance of additive singular basis functions for triangles

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