Non-local Impedance Operator for Non-overlapping DDM for the Helmholtz Equation

Francis Collino; Patrick Joly; Emile Parolin

doi:10.1007/978-3-030-95025-5_79

Non-local Impedance Operator for Non-overlapping DDM for the Helmholtz Equation

Francis Collino, Patrick Joly, Emile Parolin

Laboratoire POems UMR 7231 CNRS-INRIA-ENSTA, ENSTA-UMA

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

Abstract

In the context of time harmonicwave equations, the pioneeringwork of B. Després [4] has shown that it is mandatory to use impedance type transmission conditions in the coupling of sub-domains in order to obtain convergence of non-overlapping domain decomposition methods (DDM).

Original language	English
Title of host publication	Domain Decomposition Methods in Science and Engineering XXVI
Editors	Susanne C. Brenner, Axel Klawonn, Jinchao Xu, Eric Chung, Jun Zou, Felix Kwok
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	725-733
Number of pages	9
ISBN (Print)	9783030950248
DOIs	https://doi.org/10.1007/978-3-030-95025-5_79
Publication status	Published - 1 Jan 2022
Event	26th International Conference on Domain Decomposition Methods, 2020 - Virtual, Online Duration: 7 Dec 2020 → 12 Dec 2020

Publication series

Name	Lecture Notes in Computational Science and Engineering
Volume	145
ISSN (Print)	1439-7358
ISSN (Electronic)	2197-7100

Conference

Conference	26th International Conference on Domain Decomposition Methods, 2020
City	Virtual, Online
Period	7/12/20 → 12/12/20

Access to Document

10.1007/978-3-030-95025-5_79

Cite this

Collino, F., Joly, P., & Parolin, E. (2022). Non-local Impedance Operator for Non-overlapping DDM for the Helmholtz Equation. In S. C. Brenner, A. Klawonn, J. Xu, E. Chung, J. Zou, & F. Kwok (Eds.), Domain Decomposition Methods in Science and Engineering XXVI (pp. 725-733). (Lecture Notes in Computational Science and Engineering; Vol. 145). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-030-95025-5_79

Collino, Francis ; Joly, Patrick ; Parolin, Emile. / Non-local Impedance Operator for Non-overlapping DDM for the Helmholtz Equation. Domain Decomposition Methods in Science and Engineering XXVI. editor / Susanne C. Brenner ; Axel Klawonn ; Jinchao Xu ; Eric Chung ; Jun Zou ; Felix Kwok. Springer Science and Business Media Deutschland GmbH, 2022. pp. 725-733 (Lecture Notes in Computational Science and Engineering).

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title = "Non-local Impedance Operator for Non-overlapping DDM for the Helmholtz Equation",

abstract = "In the context of time harmonicwave equations, the pioneeringwork of B. Despr{\'e}s [4] has shown that it is mandatory to use impedance type transmission conditions in the coupling of sub-domains in order to obtain convergence of non-overlapping domain decomposition methods (DDM).",

author = "Francis Collino and Patrick Joly and Emile Parolin",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.; 26th International Conference on Domain Decomposition Methods, 2020 ; Conference date: 07-12-2020 Through 12-12-2020",

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doi = "10.1007/978-3-030-95025-5\_79",

language = "English",

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

publisher = "Springer Science and Business Media Deutschland GmbH",

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

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Collino, F, Joly, P & Parolin, E 2022, Non-local Impedance Operator for Non-overlapping DDM for the Helmholtz Equation. in SC Brenner, A Klawonn, J Xu, E Chung, J Zou & F Kwok (eds), Domain Decomposition Methods in Science and Engineering XXVI. Lecture Notes in Computational Science and Engineering, vol. 145, Springer Science and Business Media Deutschland GmbH, pp. 725-733, 26th International Conference on Domain Decomposition Methods, 2020, Virtual, Online, 7/12/20. https://doi.org/10.1007/978-3-030-95025-5_79

Non-local Impedance Operator for Non-overlapping DDM for the Helmholtz Equation. / Collino, Francis; Joly, Patrick; Parolin, Emile.
Domain Decomposition Methods in Science and Engineering XXVI. ed. / Susanne C. Brenner; Axel Klawonn; Jinchao Xu; Eric Chung; Jun Zou; Felix Kwok. Springer Science and Business Media Deutschland GmbH, 2022. p. 725-733 (Lecture Notes in Computational Science and Engineering; Vol. 145).

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

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AU - Joly, Patrick

AU - Parolin, Emile

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N2 - In the context of time harmonicwave equations, the pioneeringwork of B. Després [4] has shown that it is mandatory to use impedance type transmission conditions in the coupling of sub-domains in order to obtain convergence of non-overlapping domain decomposition methods (DDM).

AB - In the context of time harmonicwave equations, the pioneeringwork of B. Després [4] has shown that it is mandatory to use impedance type transmission conditions in the coupling of sub-domains in order to obtain convergence of non-overlapping domain decomposition methods (DDM).

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DO - 10.1007/978-3-030-95025-5_79

M3 - Conference contribution

AN - SCOPUS:85151156516

SN - 9783030950248

T3 - Lecture Notes in Computational Science and Engineering

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BT - Domain Decomposition Methods in Science and Engineering XXVI

A2 - Brenner, Susanne C.

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A2 - Chung, Eric

A2 - Zou, Jun

A2 - Kwok, Felix

PB - Springer Science and Business Media Deutschland GmbH

T2 - 26th International Conference on Domain Decomposition Methods, 2020

Y2 - 7 December 2020 through 12 December 2020

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Collino F, Joly P, Parolin E. Non-local Impedance Operator for Non-overlapping DDM for the Helmholtz Equation. In Brenner SC, Klawonn A, Xu J, Chung E, Zou J, Kwok F, editors, Domain Decomposition Methods in Science and Engineering XXVI. Springer Science and Business Media Deutschland GmbH. 2022. p. 725-733. (Lecture Notes in Computational Science and Engineering). doi: 10.1007/978-3-030-95025-5_79

Non-local Impedance Operator for Non-overlapping DDM for the Helmholtz Equation

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