Hierarchical functions for multiscale problems

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

doi:10.1109/COMPEM.2016.7588623

Hierarchical functions for multiscale problems

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

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

1 Citation (Scopus)

Abstract

Recently, the authors have developed a number of new hierarchical and singular basis functions for field representation in two-And three-dimensional cells. Scalar and vector basis functions of both interpolatory and hierarchical kind together with some singular functions of the additive kind are discussed in detail, with several results, in a recent SciTech-IET book (R.D. Graglia and A.F. Peterson: Higher-order Techniques in Computational Electromagnetics), as well as in several other publications (for example, Graglia et al., IEEE TAP, vol. 61, pp. 3674-3692, Jul. 2013; IEEE TAP, vol. 62, pp 3632-3644, Jul. 2014; IEEE AWPL, vol. 13, pp 1701-1704, 2014, and in the special issue on 'Finite Elements for Microwave Engineering,' Electromagnetics, vol. 34, pp. 171-198, 2014).

Original language	English
Title of host publication	ICCEM 2016
Subtitle of host publication	IEEE International Conference on Computational Electromagnetics
Place of Publication	Piscataway, NJ
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	87
Number of pages	1
ISBN (Electronic)	9781467396783
ISBN (Print)	9781467396790
DOIs	https://doi.org/10.1109/COMPEM.2016.7588623
Publication status	Published - 2016
Externally published	Yes
Event	2016 IEEE International Conference on Computational Electromagnetics, ICCEM 2016 - Guangzhou, China Duration: 23 Feb 2016 → 25 Feb 2016

Other

Other	2016 IEEE International Conference on Computational Electromagnetics, ICCEM 2016
Country/Territory	China
City	Guangzhou
Period	23/02/16 → 25/02/16

Access to Document

10.1109/COMPEM.2016.7588623

Cite this

@inproceedings{bdcf3f90ce784a00bc70c60a88ceaa8c,

title = "Hierarchical functions for multiscale problems",

abstract = "Recently, the authors have developed a number of new hierarchical and singular basis functions for field representation in two-And three-dimensional cells. Scalar and vector basis functions of both interpolatory and hierarchical kind together with some singular functions of the additive kind are discussed in detail, with several results, in a recent SciTech-IET book (R.D. Graglia and A.F. Peterson: Higher-order Techniques in Computational Electromagnetics), as well as in several other publications (for example, Graglia et al., IEEE TAP, vol. 61, pp. 3674-3692, Jul. 2013; IEEE TAP, vol. 62, pp 3632-3644, Jul. 2014; IEEE AWPL, vol. 13, pp 1701-1704, 2014, and in the special issue on 'Finite Elements for Microwave Engineering,' Electromagnetics, vol. 34, pp. 171-198, 2014).",

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

year = "2016",

doi = "10.1109/COMPEM.2016.7588623",

language = "English",

isbn = "9781467396790",

pages = "87",

booktitle = "ICCEM 2016",

publisher = "Institute of Electrical and Electronics Engineers (IEEE)",

address = "United States",

note = "2016 IEEE International Conference on Computational Electromagnetics, ICCEM 2016 ; Conference date: 23-02-2016 Through 25-02-2016",

}

Graglia, RD, Peterson, AF, Petrini, P & Matekovits, L 2016, Hierarchical functions for multiscale problems. in ICCEM 2016: IEEE International Conference on Computational Electromagnetics. Institute of Electrical and Electronics Engineers (IEEE), Piscataway, NJ, pp. 87, 2016 IEEE International Conference on Computational Electromagnetics, ICCEM 2016, Guangzhou, China, 23/02/16. https://doi.org/10.1109/COMPEM.2016.7588623

Hierarchical functions for multiscale problems. / Graglia, R. D.; Peterson, Andrew F.; Petrini, Paolo et al.
ICCEM 2016: IEEE International Conference on Computational Electromagnetics. Piscataway, NJ: Institute of Electrical and Electronics Engineers (IEEE), 2016. p. 87.

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

TY - GEN

T1 - Hierarchical functions for multiscale problems

AU - Graglia, R. D.

AU - Peterson, Andrew F.

AU - Petrini, Paolo

AU - Matekovits, Ladislau

PY - 2016

Y1 - 2016

N2 - Recently, the authors have developed a number of new hierarchical and singular basis functions for field representation in two-And three-dimensional cells. Scalar and vector basis functions of both interpolatory and hierarchical kind together with some singular functions of the additive kind are discussed in detail, with several results, in a recent SciTech-IET book (R.D. Graglia and A.F. Peterson: Higher-order Techniques in Computational Electromagnetics), as well as in several other publications (for example, Graglia et al., IEEE TAP, vol. 61, pp. 3674-3692, Jul. 2013; IEEE TAP, vol. 62, pp 3632-3644, Jul. 2014; IEEE AWPL, vol. 13, pp 1701-1704, 2014, and in the special issue on 'Finite Elements for Microwave Engineering,' Electromagnetics, vol. 34, pp. 171-198, 2014).

AB - Recently, the authors have developed a number of new hierarchical and singular basis functions for field representation in two-And three-dimensional cells. Scalar and vector basis functions of both interpolatory and hierarchical kind together with some singular functions of the additive kind are discussed in detail, with several results, in a recent SciTech-IET book (R.D. Graglia and A.F. Peterson: Higher-order Techniques in Computational Electromagnetics), as well as in several other publications (for example, Graglia et al., IEEE TAP, vol. 61, pp. 3674-3692, Jul. 2013; IEEE TAP, vol. 62, pp 3632-3644, Jul. 2014; IEEE AWPL, vol. 13, pp 1701-1704, 2014, and in the special issue on 'Finite Elements for Microwave Engineering,' Electromagnetics, vol. 34, pp. 171-198, 2014).

UR - http://www.scopus.com/inward/record.url?scp=84994593735&partnerID=8YFLogxK

U2 - 10.1109/COMPEM.2016.7588623

DO - 10.1109/COMPEM.2016.7588623

M3 - Conference proceeding contribution

AN - SCOPUS:84994593735

SN - 9781467396790

SP - 87

BT - ICCEM 2016

PB - Institute of Electrical and Electronics Engineers (IEEE)

CY - Piscataway, NJ

T2 - 2016 IEEE International Conference on Computational Electromagnetics, ICCEM 2016

Y2 - 23 February 2016 through 25 February 2016

ER -

Hierarchical functions for multiscale problems

Abstract

Other

Access to Document

Other files and links

Fingerprint

Cite this