A Parallel Solver for a Preconditioned Space-Time Boundary Element Method for the Heat Equation

Stefan Dohr; Michal Merta; Günther Of; Olaf Steinbach; Jan Zapletal

doi:10.1007/978-3-030-56750-7_11

A Parallel Solver for a Preconditioned Space-Time Boundary Element Method for the Heat Equation

Stefan Dohr^*, Michal Merta, Günther Of, Olaf Steinbach, Jan Zapletal

^*Corresponding author for this work

Institute of Applied Mathematics (5040)

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

Abstract

In this note we describe a parallel solver for the discretized weakly singular spacetime boundary integral equation of the spatially two-dimensional heat equation. The global space-time nature of the system matrices leads to improved parallel scalability in distributed memory systems in contrast to time-stepping methods where the parallelization is usually limited to spatial dimensions.

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	108-116
Number of pages	9
ISBN (Print)	9783030567491
DOIs	https://doi.org/10.1007/978-3-030-56750-7_11
Publication status	Published - 1 Jan 2020
Event	25th International Conference on Domain Decomposition Methods in Science and Engineering - 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
Abbreviated title	DD 2018
Country/Territory	Canada
City	St. John's
Period	23/07/18 → 27/07/18

ASJC Scopus subject areas

Computational Mathematics
Modelling and Simulation

Fields of Expertise

Information, Communication & Computing

Treatment code (Nähere Zuordnung)

Basic - Fundamental (Grundlagenforschung)

Access to Document

10.1007/978-3-030-56750-7_11

Cite this

Dohr, S., Merta, M., Of, G., Steinbach, O., & Zapletal, J. (2020). A Parallel Solver for a Preconditioned Space-Time Boundary Element Method for the Heat Equation. 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. 108-116). (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_11

A Parallel Solver for a Preconditioned Space-Time Boundary Element Method for the Heat Equation. / Dohr, Stefan; Merta, Michal; Of, Günther 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. 108-116 (Lecture Notes in Computational Science and Engineering; Vol. 138).

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

Dohr, S, Merta, M, Of, G , Steinbach, O & Zapletal, J 2020, A Parallel Solver for a Preconditioned Space-Time Boundary Element Method for the Heat Equation. 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. 108-116, 25th International Conference on Domain Decomposition Methods in Science and Engineering, St. John's, Canada, 23/07/18. https://doi.org/10.1007/978-3-030-56750-7_11

Dohr S, Merta M, Of G , Steinbach O, Zapletal J. A Parallel Solver for a Preconditioned Space-Time Boundary Element Method for the Heat Equation. 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. 108-116. (Lecture Notes in Computational Science and Engineering). doi: 10.1007/978-3-030-56750-7_11

Dohr, Stefan ; Merta, Michal ; Of, Günther et al. / A Parallel Solver for a Preconditioned Space-Time Boundary Element Method for the Heat Equation. 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. 108-116 (Lecture Notes in Computational Science and Engineering).

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A Parallel Solver for a Preconditioned Space-Time Boundary Element Method for the Heat Equation

Abstract

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