A Discrete Domain Decomposition Method for Acoustics with Uniform Exponential Rate of Convergence Using Non-local Impedance Operators

Xavier Claeys; Francis Collino; Patrick Joly; Emile Parolin

doi:10.1007/978-3-030-56750-7_35

A Discrete Domain Decomposition Method for Acoustics with Uniform Exponential Rate of Convergence Using Non-local Impedance Operators

Xavier Claeys, 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

The relaxed Jacobi algorithm written at the continuous level was proven to converge exponentially.

Original language	English
Title of host publication	Domain Decomposition Methods in Science and Engineering XXV, DD 2018
Editors	Ronald Haynes, Scott MacLachlan, Xiao-Chuan Cai, Laurence Halpern, Hyea Hyun Kim, Axel Klawonn, Olof Widlund
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	310-317
Number of pages	8
ISBN (Print)	9783030567491
DOIs	https://doi.org/10.1007/978-3-030-56750-7_35
Publication status	Published - 1 Jan 2020
Event	25th International Conference on Domain Decomposition Methods in Science and Engineering, DD 2018 - St. John's, Canada Duration: 23 Jul 2018 → 27 Jul 2018

Publication series

Name	Lecture Notes in Computational Science and Engineering
Volume	138
ISSN (Print)	1439-7358
ISSN (Electronic)	2197-7100

Conference

Conference	25th International Conference on Domain Decomposition Methods in Science and Engineering, DD 2018
Country/Territory	Canada
City	St. John's
Period	23/07/18 → 27/07/18

Access to Document

10.1007/978-3-030-56750-7_35

Cite this

Claeys, X., Collino, F., Joly, P., & Parolin, E. (2020). A Discrete Domain Decomposition Method for Acoustics with Uniform Exponential Rate of Convergence Using Non-local Impedance Operators. In R. Haynes, S. MacLachlan, X.-C. Cai, L. Halpern, H. H. Kim, A. Klawonn, & O. Widlund (Eds.), Domain Decomposition Methods in Science and Engineering XXV, DD 2018 (pp. 310-317). (Lecture Notes in Computational Science and Engineering; Vol. 138). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-030-56750-7_35

Claeys, Xavier ; Collino, Francis ; Joly, Patrick et al. / A Discrete Domain Decomposition Method for Acoustics with Uniform Exponential Rate of Convergence Using Non-local Impedance Operators. Domain Decomposition Methods in Science and Engineering XXV, DD 2018. editor / Ronald Haynes ; Scott MacLachlan ; Xiao-Chuan Cai ; Laurence Halpern ; Hyea Hyun Kim ; Axel Klawonn ; Olof Widlund. Springer Science and Business Media Deutschland GmbH, 2020. pp. 310-317 (Lecture Notes in Computational Science and Engineering).

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title = "A Discrete Domain Decomposition Method for Acoustics with Uniform Exponential Rate of Convergence Using Non-local Impedance Operators",

abstract = "The relaxed Jacobi algorithm written at the continuous level was proven to converge exponentially.",

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

note = "Publisher Copyright: {\textcopyright} 2020, Springer Nature Switzerland AG.; 25th International Conference on Domain Decomposition Methods in Science and Engineering, DD 2018 ; Conference date: 23-07-2018 Through 27-07-2018",

year = "2020",

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doi = "10.1007/978-3-030-56750-7\_35",

language = "English",

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

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pages = "310--317",

editor = "Ronald Haynes and Scott MacLachlan and Xiao-Chuan Cai and Laurence Halpern and Kim, \{Hyea Hyun\} and Axel Klawonn and Olof Widlund",

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Claeys, X, Collino, F, Joly, P & Parolin, E 2020, A Discrete Domain Decomposition Method for Acoustics with Uniform Exponential Rate of Convergence Using Non-local Impedance Operators. in R Haynes, S MacLachlan, X-C Cai, L Halpern, HH Kim, A Klawonn & O Widlund (eds), Domain Decomposition Methods in Science and Engineering XXV, DD 2018. Lecture Notes in Computational Science and Engineering, vol. 138, Springer Science and Business Media Deutschland GmbH, pp. 310-317, 25th International Conference on Domain Decomposition Methods in Science and Engineering, DD 2018, St. John's, Canada, 23/07/18. https://doi.org/10.1007/978-3-030-56750-7_35

A Discrete Domain Decomposition Method for Acoustics with Uniform Exponential Rate of Convergence Using Non-local Impedance Operators. / Claeys, Xavier; Collino, Francis; Joly, Patrick et al.
Domain Decomposition Methods in Science and Engineering XXV, DD 2018. ed. / Ronald Haynes; Scott MacLachlan; Xiao-Chuan Cai; Laurence Halpern; Hyea Hyun Kim; Axel Klawonn; Olof Widlund. Springer Science and Business Media Deutschland GmbH, 2020. p. 310-317 (Lecture Notes in Computational Science and Engineering; Vol. 138).

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

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Claeys X, Collino F, Joly P, Parolin E. A Discrete Domain Decomposition Method for Acoustics with Uniform Exponential Rate of Convergence Using Non-local Impedance Operators. In Haynes R, MacLachlan S, Cai XC, Halpern L, Kim HH, Klawonn A, Widlund O, editors, Domain Decomposition Methods in Science and Engineering XXV, DD 2018. Springer Science and Business Media Deutschland GmbH. 2020. p. 310-317. (Lecture Notes in Computational Science and Engineering). doi: 10.1007/978-3-030-56750-7_35

A Discrete Domain Decomposition Method for Acoustics with Uniform Exponential Rate of Convergence Using Non-local Impedance Operators

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