Schwarz preconditioning for high order edge 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

Schwarz preconditioning for high order edge element discretizations of the time-harmonic Maxwell's equations

Marcella Bonazzoli, Victorita Dolean, Richard Pasquetti, Francesca Rapetti

University Of Strathclyde

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

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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	Chang-Ock Lee, Xiao-Chuan Cai, Victoria Hansford, Hyea Hyun Kim, Axel Klawonn, Eun-Jae Park, Olof B. Widlund
Place of Publication	Berlin
Publisher	Springer-Verlag
Pages	117-124
Number of pages	8
ISBN (Print)	9783319523880, 9783319523897
DOIs	https://doi.org/10.1007/978-3-319-52389-7_10
Publication status	Published - 18 Mar 2017
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

Keywords

electromagnetic wave propagation
time-harmonic models
high frequency
Maxwell’s equations

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

Bonazzoli-etal-2017-Schwarz-preconditioning-for-high-order-edge-elementAccepted author manuscript, 442 KB

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Bonazzoli, M., Dolean, V., Pasquetti, R., & Rapetti, F. (2017). Schwarz preconditioning for high order edge element discretizations of the time-harmonic Maxwell's equations. In C-O. Lee, X-C. Cai, V. Hansford, H. H. Kim, A. Klawonn, E-J. Park, & O. B. Widlund (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 ; Rapetti, Francesca. / Schwarz preconditioning for high order edge element discretizations of the time-harmonic Maxwell's equations. Domain Decomposition Methods in Science and Engineering XXIII. editor / Chang-Ock Lee ; Xiao-Chuan Cai ; Victoria Hansford ; Hyea Hyun Kim ; Axel Klawonn ; Eun-Jae Park ; Olof B. Widlund. Berlin : Springer-Verlag, 2017. pp. 117-124 (Lecture Notes in Computational Science and Engineering).

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title = "Schwarz preconditioning for high order edge element discretizations of the time-harmonic Maxwell'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.",

keywords = "electromagnetic wave propagation, time-harmonic models, high frequency, Maxwell{\textquoteright}s equations",

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

year = "2017",

month = mar,

day = "18",

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 = "Chang-Ock Lee and Xiao-Chuan Cai and Victoria Hansford and Kim, {Hyea Hyun} and Axel Klawonn and Eun-Jae Park and Widlund, {Olof B.}",

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

note = "23rd International Conference on Domain Decomposition Methods, DD23 ; Conference date: 06-07-2015 Through 10-07-2015",

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Bonazzoli, M, Dolean, V, Pasquetti, R & Rapetti, F 2017, Schwarz preconditioning for high order edge element discretizations of the time-harmonic Maxwell's equations. in C-O Lee, X-C Cai, V Hansford, HH Kim, A Klawonn, E-J Park & OB Widlund (eds), Domain Decomposition Methods in Science and Engineering XXIII. Lecture Notes in Computational Science and Engineering, vol. 116, Springer-Verlag, Berlin, 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

Schwarz preconditioning for high order edge element discretizations of the time-harmonic Maxwell's equations. / Bonazzoli, Marcella; Dolean, Victorita; Pasquetti, Richard; Rapetti, Francesca.

Domain Decomposition Methods in Science and Engineering XXIII. ed. / Chang-Ock Lee; Xiao-Chuan Cai; Victoria Hansford; Hyea Hyun Kim; Axel Klawonn; Eun-Jae Park; Olof B. Widlund. Berlin : 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 book

TY - GEN

T1 - Schwarz preconditioning for high order edge element discretizations of the time-harmonic Maxwell's equations

AU - Bonazzoli, Marcella

AU - Dolean, Victorita

AU - Pasquetti, Richard

AU - Rapetti, Francesca

PY - 2017/3/18

Y1 - 2017/3/18

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.

KW - electromagnetic wave propagation

KW - time-harmonic models

KW - high frequency

KW - Maxwell’s equations

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

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

M3 - Conference contribution book

AN - SCOPUS:85016221737

SN - 9783319523880

SN - 9783319523897

T3 - Lecture Notes in Computational Science and Engineering

SP - 117

EP - 124

BT - Domain Decomposition Methods in Science and Engineering XXIII

A2 - Lee, Chang-Ock

A2 - Cai, Xiao-Chuan

A2 - Hansford, Victoria

A2 - Kim, Hyea Hyun

A2 - Klawonn, Axel

A2 - Park, Eun-Jae

A2 - Widlund, Olof B.

PB - Springer-Verlag

CY - Berlin

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. Schwarz preconditioning for high order edge element discretizations of the time-harmonic Maxwell's equations. In Lee C-O, Cai X-C, Hansford V, Kim HH, Klawonn A, Park E-J, Widlund OB, editors, Domain Decomposition Methods in Science and Engineering XXIII. Berlin: Springer-Verlag. 2017. p. 117-124. (Lecture Notes in Computational Science and Engineering). https://doi.org/10.1007/978-3-319-52389-7_10

Schwarz preconditioning for high order edge element discretizations of the time-harmonic Maxwell's equations

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