Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • 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
Multirate Undrained Splitting for Coupled Flow and Geomechanics in Porous Media
Univ Bergen, Math Inst, Bergen, Norway..
UT Austin, ICES, CSM, Austin, TX USA..
UT Austin, ICES, CSM, Austin, TX USA..ORCID iD: 0000-0001-5571-9299
UT Austin, ICES, CSM, Austin, TX USA..
2016 (English)In: NUMERICAL MATHEMATICS AND ADVANCED APPLICATIONS (ENUMATH 2015) / [ed] Karasozen, B Manguoglu, M TezerSezgin, M Goktepe, S Ugur, O, Springer Publishing Company, 2016, p. 431-440Conference paper, Published paper (Refereed)
Abstract [en]

We consider a multirate iterative scheme for the quasi-static Biot equations modelling the coupled flow and geomechanics in a porous medium. The iterative scheme is based on undrained splitting where the flow and mechanics equations are decoupled with the mechanics solve followed by the pressure solve. The multirate scheme proposed here uses different time steps for the two equations, that is, uses q flow steps for each coarse mechanics step and may be interpreted as using a regularization parameter for the mechanics equation. We prove the convergence of the scheme and the proof reveals the appropriate regularization parameter and also the effect of the number of flow steps within coarse mechanics step on the convergence rate.

Place, publisher, year, edition, pages
Springer Publishing Company, 2016. p. 431-440
Series
Lecture Notes in Computational Science and Engineering, ISSN 1439-7358 ; 112
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-69256DOI: 10.1007/978-3-319-39929-4_41ISI: 000398020000041ISBN: 978-3-319-39929-4 (print)ISBN: 978-3-319-39927-0 (print)OAI: oai:DiVA.org:kau-69256DiVA, id: diva2:1254271
Conference
European Conference on Numerical Mathematics and Advanced Applications (ENUMATH), SEP 14-18, 2015, Middle E Tech Univ, Inst Appl Math, Ankara, TURKEY
Available from: 2018-10-08 Created: 2018-10-08 Last updated: 2018-10-11Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full text

Authority records BETA

Kumar, Kundan

Search in DiVA

By author/editor
Kumar, KundanSingh, Gurpreet
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

doi
isbn
urn-nbn

Altmetric score

doi
isbn
urn-nbn
Total: 11 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • 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