Closed form inverse of local multi-trace operators

Alan Ayala; Xavier Claeys; Victorita Dolean; Martin J. Gander

doi:10.1007/978-3-319-52389-7_9

Closed form inverse of local multi-trace operators

Alan Ayala
, Xavier Claeys
, Victorita Dolean
, Martin J. Gander

Sorbonne Université
Inria Paris
University of Strathclyde
University of Geneva

Résultats de recherche: Le chapitre dans un livre, un rapport, une anthologie ou une collection › Contribution à une conférence › Revue par des pairs

Résumé

Local multi-trace formulations are a way to express transmission problems. They are based on integral formulations of the solution on each subdomain, and between the subdomains both the known jumps in the traces and the fluxes of the transmission problem are imposed, and thus the method contains multiple traces in its formulation. We show in this paper that it is possible to derive a closed form inverse for local multi-trace operators for an elliptic model problem.

langue originale	Anglais
titre	Domain Decomposition Methods in Science and Engineering XXIII
rédacteurs en chef	Hyea Hyun Kim, Axel Klawonn, Eun-Jae Park, Chang-Ock Lee, Olof B. Widlund, Xiao-Chuan Cai, David E. Keyes
Editeur	Springer Verlag
Pages	107-115
Nombre de pages	9
ISBN (imprimé)	9783319523880
Les DOIs	https://doi.org/10.1007/978-3-319-52389-7_9
état	Publié - 1 janv. 2017
Evénement	23rd International Conference on Domain Decomposition Methods, DD23 - Jeju Island, Corée du Sud Durée: 6 juil. 2015 → 10 juil. 2015

Série de publications

Nom	Lecture Notes in Computational Science and Engineering
Volume	116
ISSN (imprimé)	1439-7358

Une conférence

Une conférence	23rd International Conference on Domain Decomposition Methods, DD23
Pays/Territoire	Corée du Sud
La ville	Jeju Island
période	6/07/15 → 10/07/15

Accès au document

10.1007/978-3-319-52389-7_9

Contient cette citation

Ayala, A., Claeys, X., Dolean, V., & Gander, M. J. (2017). Closed form inverse of local multi-trace operators. Dans 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 (p. 107-115). (Lecture Notes in Computational Science and Engineering; Vol 116). Springer Verlag. https://doi.org/10.1007/978-3-319-52389-7_9

Ayala, Alan ; Claeys, Xavier ; Dolean, Victorita et al. / Closed form inverse of local multi-trace operators. Domain Decomposition Methods in Science and Engineering XXIII. Editeur / Hyea Hyun Kim ; Axel Klawonn ; Eun-Jae Park ; Chang-Ock Lee ; Olof B. Widlund ; Xiao-Chuan Cai ; David E. Keyes. Springer Verlag, 2017. p. 107-115 (Lecture Notes in Computational Science and Engineering).

@inproceedings{d8731e4f03d54bc49fb7f2c67729a1ac,

title = "Closed form inverse of local multi-trace operators",

abstract = "Local multi-trace formulations are a way to express transmission problems. They are based on integral formulations of the solution on each subdomain, and between the subdomains both the known jumps in the traces and the fluxes of the transmission problem are imposed, and thus the method contains multiple traces in its formulation. We show in this paper that it is possible to derive a closed form inverse for local multi-trace operators for an elliptic model problem.",

author = "Alan Ayala and Xavier Claeys and Victorita Dolean and Gander, \{Martin J.\}",

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,

day = "1",

doi = "10.1007/978-3-319-52389-7\_9",

language = "English",

isbn = "9783319523880",

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

publisher = "Springer Verlag",

pages = "107--115",

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",

}

Ayala, A, Claeys, X, Dolean, V & Gander, MJ 2017, Closed form inverse of local multi-trace operators. Dans 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, p. 107-115, 23rd International Conference on Domain Decomposition Methods, DD23, Jeju Island, Corée du Sud, 6/07/15. https://doi.org/10.1007/978-3-319-52389-7_9

Closed form inverse of local multi-trace operators. / Ayala, Alan; Claeys, Xavier; Dolean, Victorita 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. 107-115 (Lecture Notes in Computational Science and Engineering; Vol 116).

Résultats de recherche: Le chapitre dans un livre, un rapport, une anthologie ou une collection › Contribution à une conférence › Revue par des pairs

TY - GEN

T1 - Closed form inverse of local multi-trace operators

AU - Ayala, Alan

AU - Claeys, Xavier

AU - Dolean, Victorita

AU - Gander, Martin J.

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

PY - 2017/1/1

Y1 - 2017/1/1

N2 - Local multi-trace formulations are a way to express transmission problems. They are based on integral formulations of the solution on each subdomain, and between the subdomains both the known jumps in the traces and the fluxes of the transmission problem are imposed, and thus the method contains multiple traces in its formulation. We show in this paper that it is possible to derive a closed form inverse for local multi-trace operators for an elliptic model problem.

AB - Local multi-trace formulations are a way to express transmission problems. They are based on integral formulations of the solution on each subdomain, and between the subdomains both the known jumps in the traces and the fluxes of the transmission problem are imposed, and thus the method contains multiple traces in its formulation. We show in this paper that it is possible to derive a closed form inverse for local multi-trace operators for an elliptic model problem.

U2 - 10.1007/978-3-319-52389-7_9

DO - 10.1007/978-3-319-52389-7_9

M3 - Conference contribution

AN - SCOPUS:85016172135

SN - 9783319523880

T3 - Lecture Notes in Computational Science and Engineering

SP - 107

EP - 115

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

ER -

Ayala A, Claeys X, Dolean V, Gander MJ. Closed form inverse of local multi-trace operators. Dans Kim HH, Klawonn A, Park EJ, Lee CO, Widlund OB, Cai XC, Keyes DE, rédacteurs en chef, Domain Decomposition Methods in Science and Engineering XXIII. Springer Verlag. 2017. p. 107-115. (Lecture Notes in Computational Science and Engineering). doi: 10.1007/978-3-319-52389-7_9

Closed form inverse of local multi-trace operators

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