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dc.contributor.authorKumar, Kundan
dc.contributor.authorKyas, Svetlana
dc.contributor.authorNordbotten, Jan Martin
dc.contributor.authorRepin, Sergey
dc.date.accessioned2020-06-25T06:32:42Z
dc.date.available2020-06-25T06:32:42Z
dc.date.issued2021
dc.identifier.citationKumar, K., Kyas, S., Nordbotten, J. M., & Repin, S. (2021). Guaranteed and computable error bounds for approximations constructed by an iterative decoupling of the Biot problem. <i>Computers and Mathematics with Applications </i>, <i>91</i>, 122-149. <a href="https://doi.org/10.1016/j.camwa.2020.05.005" target="_blank">https://doi.org/10.1016/j.camwa.2020.05.005</a>
dc.identifier.otherCONVID_35994172
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/70911
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
dc.format.mimetypeapplication/pdf
dc.languageeng
dc.language.isoeng
dc.publisherElsevier
dc.relation.ispartofseriesComputers and Mathematics with Applications
dc.rightsCC BY 4.0
dc.subject.otherBiot problem
dc.subject.otherfixed-stress split iterative scheme
dc.subject.othera posteriori error estimates
dc.subject.othercontraction mappings
dc.titleGuaranteed and computable error bounds for approximations constructed by an iterative decoupling of the Biot problem
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-202006255101
dc.contributor.laitosInformaatioteknologian tiedekuntafi
dc.contributor.laitosFaculty of Information Technologyen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.description.reviewstatuspeerReviewed
dc.format.pagerange122-149
dc.relation.issn0898-1221
dc.relation.volume91
dc.type.versionpublishedVersion
dc.rights.copyright© 2020 The Authors. Published by Elsevier Ltd.
dc.rights.accesslevelopenAccessfi
dc.subject.ysoapproksimointi
dc.subject.ysonumeerinen analyysi
dc.subject.ysoosittaisdifferentiaaliyhtälöt
dc.subject.ysovirheanalyysi
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p4982
jyx.subject.urihttp://www.yso.fi/onto/yso/p15833
jyx.subject.urihttp://www.yso.fi/onto/yso/p12392
jyx.subject.urihttp://www.yso.fi/onto/yso/p9865
dc.rights.urlhttps://creativecommons.org/licenses/by/4.0/
dc.relation.doi10.1016/j.camwa.2020.05.005
jyx.fundinginformationThe work is funded by the SIU Grant CPRU-2015/10040. The second author wants to acknowledge the Werner Siemens Foundation (Werner Siemens-Stiftung) for its support of the Geothermal Energy and Geofluids group at ETH Zurich, Switzerland. KK and JMN would like to acknowledge Norwegian Research Council project Toppforsk 250223 for funding.


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