Element discretizations of the time-harmonic Maxwell’s equations

Marcella Bonazzoli; Victorita Dolean; Richard Pasquetti; Francesca Rapetti

doi:10.1007/978-3-319-52389-7_10

Element discretizations of the time-harmonic Maxwell’s equations

Marcella Bonazzoli
, Victorita Dolean
, Richard Pasquetti
, Francesca Rapetti

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

Abstract

We focus on high order edge element approximations of waveguide problems. For the associated linear systems, we analyze the impact of two Schwarz preconditioners, the Optimized Additive Schwarz (OAS) and the Optimized Restricted Additive Schwarz (ORAS), on the convergence of the iterative solver.

Original language	English
Title of host publication	Domain Decomposition Methods in Science and Engineering XXIII
Editors	Hyea Hyun Kim, Axel Klawonn, Eun-Jae Park, Chang-Ock Lee, Olof B. Widlund, Xiao-Chuan Cai, David E. Keyes
Publisher	Springer Verlag
Pages	117-124
Number of pages	8
ISBN (Print)	9783319523880
DOIs	https://doi.org/10.1007/978-3-319-52389-7_10
Publication status	Published - 1 Jan 2017
Externally published	Yes
Event	23rd International Conference on Domain Decomposition Methods, DD23 - Jeju Island, Korea, Republic of Duration: 6 Jul 2015 → 10 Jul 2015

Publication series

Name	Lecture Notes in Computational Science and Engineering
Volume	116
ISSN (Print)	1439-7358

Conference

Conference	23rd International Conference on Domain Decomposition Methods, DD23
Country/Territory	Korea, Republic of
City	Jeju Island
Period	6/07/15 → 10/07/15

Access to Document

10.1007/978-3-319-52389-7_10

Cite this

Bonazzoli, M., Dolean, V., Pasquetti, R., & Rapetti, F. (2017). Element discretizations of the time-harmonic Maxwell’s equations. In H. H. Kim, A. Klawonn, E.-J. Park, C.-O. Lee, O. B. Widlund, X.-C. Cai, & D. E. Keyes (Eds.), Domain Decomposition Methods in Science and Engineering XXIII (pp. 117-124). (Lecture Notes in Computational Science and Engineering; Vol. 116). Springer Verlag. https://doi.org/10.1007/978-3-319-52389-7_10

Bonazzoli, Marcella ; Dolean, Victorita ; Pasquetti, Richard et al. / Element discretizations of the time-harmonic Maxwell’s equations. Domain Decomposition Methods in Science and Engineering XXIII. editor / Hyea Hyun Kim ; Axel Klawonn ; Eun-Jae Park ; Chang-Ock Lee ; Olof B. Widlund ; Xiao-Chuan Cai ; David E. Keyes. Springer Verlag, 2017. pp. 117-124 (Lecture Notes in Computational Science and Engineering).

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title = "Element discretizations of the time-harmonic Maxwell{\textquoteright}s equations",

abstract = "We focus on high order edge element approximations of waveguide problems. For the associated linear systems, we analyze the impact of two Schwarz preconditioners, the Optimized Additive Schwarz (OAS) and the Optimized Restricted Additive Schwarz (ORAS), on the convergence of the iterative solver.",

author = "Marcella Bonazzoli and Victorita Dolean and Richard Pasquetti and Francesca Rapetti",

note = "Publisher Copyright: {\textcopyright} Springer International Publishing AG 2017.; 23rd International Conference on Domain Decomposition Methods, DD23 ; Conference date: 06-07-2015 Through 10-07-2015",

year = "2017",

month = jan,

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doi = "10.1007/978-3-319-52389-7\_10",

language = "English",

isbn = "9783319523880",

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

publisher = "Springer Verlag",

pages = "117--124",

editor = "Kim, \{Hyea Hyun\} and Axel Klawonn and Eun-Jae Park and Chang-Ock Lee and Widlund, \{Olof B.\} and Xiao-Chuan Cai and Keyes, \{David E.\}",

booktitle = "Domain Decomposition Methods in Science and Engineering XXIII",

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Bonazzoli, M, Dolean, V, Pasquetti, R & Rapetti, F 2017, Element discretizations of the time-harmonic Maxwell’s equations. in HH Kim, A Klawonn, E-J Park, C-O Lee, OB Widlund, X-C Cai & DE Keyes (eds), Domain Decomposition Methods in Science and Engineering XXIII. Lecture Notes in Computational Science and Engineering, vol. 116, Springer Verlag, pp. 117-124, 23rd International Conference on Domain Decomposition Methods, DD23, Jeju Island, Korea, Republic of, 6/07/15. https://doi.org/10.1007/978-3-319-52389-7_10

Element discretizations of the time-harmonic Maxwell’s equations. / Bonazzoli, Marcella; Dolean, Victorita; Pasquetti, Richard et al.
Domain Decomposition Methods in Science and Engineering XXIII. ed. / Hyea Hyun Kim; Axel Klawonn; Eun-Jae Park; Chang-Ock Lee; Olof B. Widlund; Xiao-Chuan Cai; David E. Keyes. Springer Verlag, 2017. p. 117-124 (Lecture Notes in Computational Science and Engineering; Vol. 116).

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

TY - GEN

T1 - Element discretizations of the time-harmonic Maxwell’s equations

AU - Bonazzoli, Marcella

AU - Dolean, Victorita

AU - Pasquetti, Richard

AU - Rapetti, Francesca

N1 - Publisher Copyright: © Springer International Publishing AG 2017.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - We focus on high order edge element approximations of waveguide problems. For the associated linear systems, we analyze the impact of two Schwarz preconditioners, the Optimized Additive Schwarz (OAS) and the Optimized Restricted Additive Schwarz (ORAS), on the convergence of the iterative solver.

AB - We focus on high order edge element approximations of waveguide problems. For the associated linear systems, we analyze the impact of two Schwarz preconditioners, the Optimized Additive Schwarz (OAS) and the Optimized Restricted Additive Schwarz (ORAS), on the convergence of the iterative solver.

UR - https://www.scopus.com/pages/publications/85016221737

U2 - 10.1007/978-3-319-52389-7_10

DO - 10.1007/978-3-319-52389-7_10

M3 - Conference contribution

AN - SCOPUS:85016221737

SN - 9783319523880

T3 - Lecture Notes in Computational Science and Engineering

SP - 117

EP - 124

BT - Domain Decomposition Methods in Science and Engineering XXIII

A2 - Kim, Hyea Hyun

A2 - Klawonn, Axel

A2 - Park, Eun-Jae

A2 - Lee, Chang-Ock

A2 - Widlund, Olof B.

A2 - Cai, Xiao-Chuan

A2 - Keyes, David E.

PB - Springer Verlag

T2 - 23rd International Conference on Domain Decomposition Methods, DD23

Y2 - 6 July 2015 through 10 July 2015

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Bonazzoli M, Dolean V, Pasquetti R, Rapetti F. Element discretizations of the time-harmonic Maxwell’s equations. In Kim HH, Klawonn A, Park EJ, Lee CO, Widlund OB, Cai XC, Keyes DE, editors, Domain Decomposition Methods in Science and Engineering XXIII. Springer Verlag. 2017. p. 117-124. (Lecture Notes in Computational Science and Engineering). doi: 10.1007/978-3-319-52389-7_10

Element discretizations of the time-harmonic Maxwell’s equations

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