dc.date.accessioned | 2021-06-10T15:33:55Z | |
dc.date.available | 2021-06-10T15:33:55Z | |
dc.date.created | 2021-05-15T12:41:19Z | |
dc.date.issued | 2021 | |
dc.identifier.citation | Mardal, Kent-Andre Rognes, Marie E. Thompson, Travis . Accurate discretization of poroelasticity without Darcy stability -- Stokes–Biot stability revisited. BIT Numerical Mathematics. 2021 | |
dc.identifier.uri | http://hdl.handle.net/10852/86364 | |
dc.description.abstract | 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 discretization is: one part Stokes stability and one part mixed Darcy stability. In this manuscript we remark on the observation that the latter condition can be generalized to a wider class of discrete spaces. In particular: a parameter-uniform inf-sup condition for a mixed Darcy sub-problem is not strictly necessary to retain the practical advantages currently enjoyed by the class of Stokes–Biot stable Euler–Galerkin discretization schemes. | |
dc.language | EN | |
dc.publisher | BMJ Publishing Group | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.title | Accurate discretization of poroelasticity without Darcy stability -- Stokes–Biot stability revisited | |
dc.type | Journal article | |
dc.creator.author | Mardal, Kent-Andre | |
dc.creator.author | Rognes, Marie E. | |
dc.creator.author | Thompson, Travis | |
cristin.unitcode | 185,15,13,15 | |
cristin.unitname | Mekanikk | |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 2 | |
dc.identifier.cristin | 1910158 | |
dc.identifier.bibliographiccitation | info:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=BIT Numerical Mathematics&rft.volume=&rft.spage=&rft.date=2021 | |
dc.identifier.jtitle | BIT Numerical Mathematics | |
dc.identifier.doi | https://doi.org/10.1007/s10543-021-00849-0 | |
dc.identifier.urn | URN:NBN:no-89010 | |
dc.type.document | Tidsskriftartikkel | |
dc.type.peerreviewed | Peer reviewed | |
dc.source.issn | 0006-3835 | |
dc.identifier.fulltext | Fulltext https://www.duo.uio.no/bitstream/handle/10852/86364/2/Mardal2021_Article_AccurateDiscretizationOfPoroel.pdf | |
dc.type.version | PublishedVersion | |