Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
A stable parareal-like method for the second order wave equation
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Numerical Analysis, NA. The University of Texas at Austin, TX 78712, United States.ORCID iD: 0000-0001-8441-3678
2020 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 405, article id 109156Article in journal (Refereed) Published
Abstract [en]

A new parallel-in-time iterative method is proposed for solving the homogeneous second-order wave equation. The new method involves a coarse scale propagator, allowing for larger time steps, and a fine scale propagator which fully resolves the medium using finer spatial grid and uses shorter time steps. The fine scale propagator is run in parallel for short time intervals. The two propagators are coupled in an iterative way that resembles the standard parareal method [24]. We present a data-driven strategy in which the computed data gathered from each iteration are re-used to stabilize the coupling by minimizing the wave energy residual of the fine and coarse propagated solutions. Several examples, including a wave speed with discontinuities, are provided to demonstrate the effectiveness of the proposed method.

Place, publisher, year, edition, pages
Academic Press, 2020. Vol. 405, article id 109156
Keywords [en]
Parallel-in-time, Procrustes problem, Wave equation
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:kth:diva-267791DOI: 10.1016/j.jcp.2019.109156Scopus ID: 2-s2.0-85076687193OAI: oai:DiVA.org:kth-267791DiVA, id: diva2:1412227
Note

QC 20200305

Available from: 2020-03-05 Created: 2020-03-05 Last updated: 2020-03-05Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full textScopus

Authority records BETA

Tsai, Yen-Hsi Richard

Search in DiVA

By author/editor
Tsai, Yen-Hsi Richard
By organisation
Numerical Analysis, NA
In the same journal
Journal of Computational Physics
Electrical Engineering, Electronic Engineering, Information Engineering

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 20 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf