Journal article
Accurate discretization of poroelasticity without Darcy stability --- Stokes-Biot stability revisited
- Abstract:
-
In this manuscript we focus on the question: what is the correct notion of Stokes-Biot stability? Stokes-Biot stable discretizations have been introduced, independently by several authors, as a means of discretizing Biot’s equations of poroelasticity; such schemes retain their stability and convergence properties, with respect to appropriately defined norms, in the context of a vanishing storage coefficient and a vanishing hydraulic conductivity. The basic premise of a Stokes-Biot stable disc...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Authors
Bibliographic Details
- Publisher:
- Springer Nature Publisher's website
- Journal:
- BIT Numerical Mathematics Journal website
- Volume:
- 61
- Issue:
- 2021
- Pages:
- 941–976
- Publication date:
- 2021-03-31
- Acceptance date:
- 2021-02-04
- DOI:
- EISSN:
-
1572-9125
- ISSN:
-
0006-3835
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
1169610
- Local pid:
- pubs:1169610
- Deposit date:
- 2021-03-29
Terms of use
- Copyright holder:
- Mardal et al.
- Copyright date:
- 2021
- Rights statement:
- © The Author(s) 2021. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
- Licence:
- CC Attribution (CC BY)
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