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dc.contributor.authorKumar, Kundan
dc.contributor.authorKyas, Svetlana
dc.contributor.authorNordbotten, Jan Martin
dc.contributor.authorRepin, Sergey
dc.date.accessioned2021-08-09T08:45:31Z
dc.date.available2021-08-09T08:45:31Z
dc.date.created2021-03-04T19:47:01Z
dc.date.issued2021
dc.identifier.issn0898-1221
dc.identifier.urihttps://hdl.handle.net/11250/2766916
dc.description.abstractThe paper is concerned with guaranteed a posteriori error estimates for a class of evolutionary problems related to poroelastic media governed by the quasi-static linear Biot equations. The system is decoupled by employing the fixed-stress split scheme, which leads to an iteratively solved semi-discrete system. The error bounds are derived by combining a posteriori estimates for contractive mappings with functional type error control for elliptic partial differential equations. The estimates are applicable to any approximation in the admissible functional space and are independent of the discretization method. They are fully computable, do not contain mesh-dependent constants, and provide reliable global estimates of the error measured in the energy norm. Moreover, they suggest efficient error indicators for the distribution of local errors and can be used in adaptive procedures.en_US
dc.language.isoengen_US
dc.publisherElsevieren_US
dc.rightsNavngivelse 4.0 Internasjonal*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/deed.no*
dc.titleGuaranteed and computable error bounds for approximations constructed by an iterative decoupling of the Biot problemen_US
dc.typeJournal articleen_US
dc.typePeer revieweden_US
dc.description.versionpublishedVersionen_US
dc.rights.holderCopyright 2020 The Authorsen_US
cristin.ispublishedtrue
cristin.fulltextoriginal
cristin.qualitycode1
dc.identifier.doi10.1016/j.camwa.2020.05.005
dc.identifier.cristin1895740
dc.source.journalComputers and Mathematics with Applicationsen_US
dc.source.pagenumber122-149en_US
dc.identifier.citationComputers and Mathematics with Applications. 2021, 91, 122-149.en_US
dc.source.volume91en_US


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