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
Robust iterative schemes for non-linear poromechanics
University of Bergen, Norway..
University of Bergen, Norway..
University of Bergen, Norway.
University of Bergen, Norway.; Princeton University, USA..
2018 (English)In: Computational Geosciences, ISSN 1420-0597, E-ISSN 1573-1499, Vol. 22, no 4, p. 1021-1038Article in journal (Refereed) Published
Abstract [en]

We consider a non-linear extension of Biot's model for poromechanics, wherein both the fluid flow and mechanical deformation are allowed to be non-linear. Specifically, we study the case when the volumetric stress and the fluid density are non-linear functions satisfying certain assumptions. We perform an implicit discretization in time (backward Euler) and propose two iterative schemes for solving the non-linear problems appearing within each time step: a splitting algorithm extending the undrained split and fixed stress methods to non-linear problems, and a monolithic L-scheme. The convergence of both schemes are shown rigorously. Illustrative numerical examples are presented to confirm the applicability of the schemes and validate the theoretical results.

Place, publisher, year, edition, pages
Dordrecht: Springer, 2018. Vol. 22, no 4, p. 1021-1038
Keywords [en]
Biot's model, L-schemes, MFEM, Convergence analysis, Fixed-stress method, Coupled problems, Poromechanics
National Category
Control Engineering Applied Mechanics
Research subject
Materials Engineering
Identifiers
URN: urn:nbn:se:kau:diva-69244DOI: 10.1007/s10596-018-9736-6ISI: 000438821700005OAI: oai:DiVA.org:kau-69244DiVA, id: diva2:1255368
Available from: 2018-10-12 Created: 2018-10-12 Last updated: 2018-11-05Bibliographically 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, Kundan
In the same journal
Computational Geosciences
Control EngineeringApplied Mechanics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 38 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