High Order Edge Elements for Electromagnetic Waves: Remarks on Numerical Dispersion

Marcella Bonazzoli; Francesca Rapetti; Pierre Henri Tournier; Chiara Venturini

doi:10.1007/978-3-319-65870-4_14

High Order Edge Elements for Electromagnetic Waves: Remarks on Numerical Dispersion

Marcella Bonazzoli, Francesca Rapetti, Pierre Henri Tournier, Chiara Venturini

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

Abstract

We recall one set of possible basis vector fields and two different sets of possible degrees of freedom, those related to “small-edges” and those defined by “moments”, for the Nédélec’s first family of high order edge elements. We thus address a dispersion analysis of the resulting methods, when the time-harmonic Maxwell’s equation for the electric field is discretized on a simplicial mesh.

Original language	English
Title of host publication	Spectral and High Order Methods for Partial Differential Equations, ICOSAHOM 2016 - Selected Papers from the ICOSAHOM Conference
Editors	Ney A. Dumont, Marco L. Bittencourt, Jan S. Hesthaven
Publisher	Springer Verlag
Pages	215-227
Number of pages	13
ISBN (Print)	9783319658698
DOIs	https://doi.org/10.1007/978-3-319-65870-4_14
Publication status	Published - 1 Jan 2017
Externally published	Yes
Event	11th International Conference on Spectral and High-Order Methods, ICOSAHOM 2016 - Rio de Janeiro, Brazil Duration: 27 Jun 2016 → 1 Jul 2016

Publication series

Name	Lecture Notes in Computational Science and Engineering
Volume	119
ISSN (Print)	1439-7358

Conference

Conference	11th International Conference on Spectral and High-Order Methods, ICOSAHOM 2016
Country/Territory	Brazil
City	Rio de Janeiro
Period	27/06/16 → 1/07/16

Access to Document

10.1007/978-3-319-65870-4_14

Cite this

Bonazzoli, M., Rapetti, F., Tournier, P. H., & Venturini, C. (2017). High Order Edge Elements for Electromagnetic Waves: Remarks on Numerical Dispersion. In N. A. Dumont, M. L. Bittencourt, & J. S. Hesthaven (Eds.), Spectral and High Order Methods for Partial Differential Equations, ICOSAHOM 2016 - Selected Papers from the ICOSAHOM Conference (pp. 215-227). (Lecture Notes in Computational Science and Engineering; Vol. 119). Springer Verlag. https://doi.org/10.1007/978-3-319-65870-4_14

Bonazzoli, Marcella ; Rapetti, Francesca ; Tournier, Pierre Henri et al. / High Order Edge Elements for Electromagnetic Waves : Remarks on Numerical Dispersion. Spectral and High Order Methods for Partial Differential Equations, ICOSAHOM 2016 - Selected Papers from the ICOSAHOM Conference. editor / Ney A. Dumont ; Marco L. Bittencourt ; Jan S. Hesthaven. Springer Verlag, 2017. pp. 215-227 (Lecture Notes in Computational Science and Engineering).

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title = "High Order Edge Elements for Electromagnetic Waves: Remarks on Numerical Dispersion",

abstract = "We recall one set of possible basis vector fields and two different sets of possible degrees of freedom, those related to “small-edges” and those defined by “moments”, for the N{\'e}d{\'e}lec{\textquoteright}s first family of high order edge elements. We thus address a dispersion analysis of the resulting methods, when the time-harmonic Maxwell{\textquoteright}s equation for the electric field is discretized on a simplicial mesh.",

author = "Marcella Bonazzoli and Francesca Rapetti and Tournier, \{Pierre Henri\} and Chiara Venturini",

note = "Publisher Copyright: {\textcopyright} 2017, Springer International Publishing AG.; 11th International Conference on Spectral and High-Order Methods, ICOSAHOM 2016 ; Conference date: 27-06-2016 Through 01-07-2016",

year = "2017",

month = jan,

day = "1",

doi = "10.1007/978-3-319-65870-4\_14",

language = "English",

isbn = "9783319658698",

series = "Lecture Notes in Computational Science and Engineering",

publisher = "Springer Verlag",

pages = "215--227",

editor = "Dumont, \{Ney A.\} and Bittencourt, \{Marco L.\} and Hesthaven, \{Jan S.\}",

booktitle = "Spectral and High Order Methods for Partial Differential Equations, ICOSAHOM 2016 - Selected Papers from the ICOSAHOM Conference",

}

Bonazzoli, M, Rapetti, F, Tournier, PH & Venturini, C 2017, High Order Edge Elements for Electromagnetic Waves: Remarks on Numerical Dispersion. in NA Dumont, ML Bittencourt & JS Hesthaven (eds), Spectral and High Order Methods for Partial Differential Equations, ICOSAHOM 2016 - Selected Papers from the ICOSAHOM Conference. Lecture Notes in Computational Science and Engineering, vol. 119, Springer Verlag, pp. 215-227, 11th International Conference on Spectral and High-Order Methods, ICOSAHOM 2016, Rio de Janeiro, Brazil, 27/06/16. https://doi.org/10.1007/978-3-319-65870-4_14

High Order Edge Elements for Electromagnetic Waves: Remarks on Numerical Dispersion. / Bonazzoli, Marcella; Rapetti, Francesca; Tournier, Pierre Henri et al.
Spectral and High Order Methods for Partial Differential Equations, ICOSAHOM 2016 - Selected Papers from the ICOSAHOM Conference. ed. / Ney A. Dumont; Marco L. Bittencourt; Jan S. Hesthaven. Springer Verlag, 2017. p. 215-227 (Lecture Notes in Computational Science and Engineering; Vol. 119).

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

TY - GEN

T1 - High Order Edge Elements for Electromagnetic Waves

T2 - 11th International Conference on Spectral and High-Order Methods, ICOSAHOM 2016

AU - Bonazzoli, Marcella

AU - Rapetti, Francesca

AU - Tournier, Pierre Henri

AU - Venturini, Chiara

PY - 2017/1/1

Y1 - 2017/1/1

N2 - We recall one set of possible basis vector fields and two different sets of possible degrees of freedom, those related to “small-edges” and those defined by “moments”, for the Nédélec’s first family of high order edge elements. We thus address a dispersion analysis of the resulting methods, when the time-harmonic Maxwell’s equation for the electric field is discretized on a simplicial mesh.

AB - We recall one set of possible basis vector fields and two different sets of possible degrees of freedom, those related to “small-edges” and those defined by “moments”, for the Nédélec’s first family of high order edge elements. We thus address a dispersion analysis of the resulting methods, when the time-harmonic Maxwell’s equation for the electric field is discretized on a simplicial mesh.

U2 - 10.1007/978-3-319-65870-4_14

DO - 10.1007/978-3-319-65870-4_14

M3 - Conference contribution

AN - SCOPUS:85034262358

SN - 9783319658698

T3 - Lecture Notes in Computational Science and Engineering

SP - 215

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BT - Spectral and High Order Methods for Partial Differential Equations, ICOSAHOM 2016 - Selected Papers from the ICOSAHOM Conference

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PB - Springer Verlag

Y2 - 27 June 2016 through 1 July 2016

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Bonazzoli M, Rapetti F, Tournier PH, Venturini C. High Order Edge Elements for Electromagnetic Waves: Remarks on Numerical Dispersion. In Dumont NA, Bittencourt ML, Hesthaven JS, editors, Spectral and High Order Methods for Partial Differential Equations, ICOSAHOM 2016 - Selected Papers from the ICOSAHOM Conference. Springer Verlag. 2017. p. 215-227. (Lecture Notes in Computational Science and Engineering). doi: 10.1007/978-3-319-65870-4_14

High Order Edge Elements for Electromagnetic Waves: Remarks on Numerical Dispersion

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