Closed form inverse of local multi-trace operators

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

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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.

Original languageEnglish
Title of host publicationDomain Decomposition Methods in Science and Engineering XXIII
EditorsChang-Ock Lee, Xiao-Chuan Cai, David E. Keyes, Hyea Hyun Kim, Axel Klawonn, Eun-Jae Park, Olof B. Widlund
Place of PublicationBerlin
PublisherSpringer-Verlag
Pages107-115
Number of pages9
ISBN (Print)9783319523880
DOIs
Publication statusPublished - 18 Mar 2017
Event23rd International Conference on Domain Decomposition Methods, DD23 - Jeju Island, Korea, Republic of
Duration: 6 Jul 201510 Jul 2015

Publication series

NameLecture Notes in Computational Science and Engineering
Volume116
ISSN (Print)1439-7358

Conference

Conference23rd International Conference on Domain Decomposition Methods, DD23
CountryKorea, Republic of
City Jeju Island
Period6/07/1510/07/15

Keywords

  • transmission problems
  • local multi-trace formulations
  • elliptic model problem

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  • Cite this

    Ayala, A., Claeys, X., Dolean, V., & Gander, M. J. (2017). Closed form inverse of local multi-trace operators. In C-O. Lee, X-C. Cai, D. E. Keyes, H. H. Kim, A. Klawonn, E-J. Park, & O. B. Widlund (Eds.), Domain Decomposition Methods in Science and Engineering XXIII (pp. 107-115). (Lecture Notes in Computational Science and Engineering; Vol. 116). Springer-Verlag. https://doi.org/10.1007/978-3-319-52389-7_9