{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,18]],"date-time":"2026-01-18T07:31:56Z","timestamp":1768721516295,"version":"3.49.0"},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"3","license":[{"start":{"date-parts":[[2010,1,1]],"date-time":"2010-01-01T00:00:00Z","timestamp":1262304000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Comput. Methods Appl. Math."],"published-print":{"date-parts":[[2010]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>The paper is concerned with the Barenblatt-Biot model in the theory of\n        poroelasticity. We derive a guaranteed estimate of the difference between exact and approximate \n        solutions in a combined norm that encompasses errors for the pressure fields\n        computed from the diffusion part of the model and errors related to stresses (strains)\n        of the elastic part. Estimates do not contain generic (mesh-dependent) constants and \n        are valid for any conforming approximation of the pressure and stress fields.<\/jats:p>","DOI":"10.2478\/cmam-2010-0017","type":"journal-article","created":{"date-parts":[[2013,4,15]],"date-time":"2013-04-15T15:48:40Z","timestamp":1366040920000},"page":"302-314","source":"Crossref","is-referenced-by-count":9,"title":["A Posteriori Error Estimates for Approximate Solutions of the Barenblatt-Biot Poroelastic Model"],"prefix":"10.2478","volume":"10","author":[{"given":"J.M.","family":"Nordbotten","sequence":"first","affiliation":[{"name":"1Department of Mathematics, University of Bergen, Norway."}]},{"given":"T.","family":"Rahman","sequence":"additional","affiliation":[{"name":"2Faculty of Engineering, Bergen University College, Norway."}]},{"given":"S.I.","family":"Repin","sequence":"additional","affiliation":[{"name":"3Steklov Institute of Mathematics, St.-Petersburg, Russia."}]},{"given":"J.","family":"Valdman","sequence":"additional","affiliation":[{"name":"4Science Institute, University of Iceland, Iceland."}]}],"member":"374","container-title":["Computational Methods in Applied Mathematics"],"original-title":[],"link":[{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/10\/3\/article-p302.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.2478\/cmam-2010-0017\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,22]],"date-time":"2021-04-22T14:21:41Z","timestamp":1619101301000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/10\/3\/article-p302.xml"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010]]},"references-count":0,"journal-issue":{"issue":"3"},"URL":"https:\/\/doi.org\/10.2478\/cmam-2010-0017","relation":{},"ISSN":["1609-9389","1609-4840"],"issn-type":[{"value":"1609-9389","type":"electronic"},{"value":"1609-4840","type":"print"}],"subject":[],"published":{"date-parts":[[2010]]}}}