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

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

doi:10.1109/ICEAA.2012.6328829

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 proceeding › Conference proceeding contribution › peer-review

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 language	English
Title of host publication	ICEAA'12
Subtitle of host publication	Proceedings of the 2012 International Conference on Electromagnetics in Advanced Applications
Place of Publication	Piscataway, NJ
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	1298-1301
Number of pages	4
ISBN (Electronic)	9781467303354, 9781467303347
ISBN (Print)	9781467303330
DOIs	https://doi.org/10.1109/ICEAA.2012.6328829
Publication status	Published - 2012
Externally published	Yes
Event	2012 14th International Conference on Electromagnetics in Advanced Applications, ICEAA 2012 - Cape Town, South Africa Duration: 2 Sep 2012 → 7 Sep 2012

Other

Other	2012 14th International Conference on Electromagnetics in Advanced Applications, ICEAA 2012
Country/Territory	South Africa
City	Cape Town
Period	2/09/12 → 7/09/12

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10.1109/ICEAA.2012.6328829

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Graglia, R. D., Peterson, A. F., & Matekovits, L. (2012). The development of hierarchical bases of the additive kind for corner singularities in triangular cells. In ICEAA'12: Proceedings of the 2012 International Conference on Electromagnetics in Advanced Applications (pp. 1298-1301). Institute of Electrical and Electronics Engineers (IEEE). https://doi.org/10.1109/ICEAA.2012.6328829

Graglia, Roberto D. ; Peterson, Andrew F. ; Matekovits, Ladislau. / The development of hierarchical bases of the additive kind for corner singularities in triangular cells. ICEAA'12: Proceedings of the 2012 International Conference on Electromagnetics in Advanced Applications. Piscataway, NJ : Institute of Electrical and Electronics Engineers (IEEE), 2012. pp. 1298-1301

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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.",

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

year = "2012",

doi = "10.1109/ICEAA.2012.6328829",

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pages = "1298--1301",

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Graglia, RD, Peterson, AF & Matekovits, L 2012, The development of hierarchical bases of the additive kind for corner singularities in triangular cells. in ICEAA'12: Proceedings of the 2012 International Conference on Electromagnetics in Advanced Applications. Institute of Electrical and Electronics Engineers (IEEE), Piscataway, NJ, pp. 1298-1301, 2012 14th International Conference on Electromagnetics in Advanced Applications, ICEAA 2012, Cape Town, South Africa, 2/09/12. https://doi.org/10.1109/ICEAA.2012.6328829

The development of hierarchical bases of the additive kind for corner singularities in triangular cells. / Graglia, Roberto D.; Peterson, Andrew F.; Matekovits, Ladislau.

ICEAA'12: Proceedings of the 2012 International Conference on Electromagnetics in Advanced Applications. Piscataway, NJ : Institute of Electrical and Electronics Engineers (IEEE), 2012. p. 1298-1301.

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

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AU - Matekovits, Ladislau

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AB - 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.

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Graglia RD, Peterson AF, Matekovits L. The development of hierarchical bases of the additive kind for corner singularities in triangular cells. In ICEAA'12: Proceedings of the 2012 International Conference on Electromagnetics in Advanced Applications. Piscataway, NJ: Institute of Electrical and Electronics Engineers (IEEE). 2012. p. 1298-1301 https://doi.org/10.1109/ICEAA.2012.6328829

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

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