dc.contributor.author | Storvik, Erlend | |
dc.contributor.author | Both, Jakub | |
dc.contributor.author | Nordbotten, Jan Martin | |
dc.contributor.author | Radu, Florin Adrian | |
dc.date.accessioned | 2022-04-21T07:06:28Z | |
dc.date.available | 2022-04-21T07:06:28Z | |
dc.date.created | 2020-12-22T10:24:37Z | |
dc.date.issued | 2021 | |
dc.identifier.issn | 1439-7358 | |
dc.identifier.uri | https://hdl.handle.net/11250/2991799 | |
dc.description.abstract | The fixed-stress splitting scheme is a popular method for iteratively solving the Biot equations. The method successively solves the flow and mechanics subproblems while adding a stabilizing term to the flow equation, which includes a parameter that can be chosen freely. However, the convergence properties of the scheme depend significantly on this parameter and choosing it carelessly might lead to a very slow, or even diverging, method. In this paper, we present a way to exploit the matrix structure arising from discretizing the equations in the regime of impermeable porous media in order to obtain a priori knowledge of the optimal choice of this tuning/stabilization parameter. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Springer | en_US |
dc.title | The Fixed-Stress splitting scheme for Biot's equations as a modified Richardson iteration: Implications for optimal convergence | en_US |
dc.type | Journal article | en_US |
dc.type | Peer reviewed | en_US |
dc.description.version | acceptedVersion | en_US |
dc.rights.holder | Copyright Springer Nature Switzerland AG 2021 | en_US |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.fulltext | postprint | |
cristin.qualitycode | 1 | |
dc.identifier.doi | https://doi.org/10.1007/978-3-030-55874-1_90 | |
dc.identifier.cristin | 1862633 | |
dc.source.journal | Lecture Notes in Computational Science and Engineering | en_US |
dc.source.pagenumber | 909–917 | en_US |
dc.identifier.citation | Lecture Notes in Computational Science and Engineering. 2021, 139, 909–917. | en_US |
dc.source.volume | 139 | en_US |