{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,3,31]],"date-time":"2023-03-31T21:40:30Z","timestamp":1680298830414},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2014,7,1]]},"abstract":"<jats:title>Abstract.<\/jats:title>\n               <jats:p>We derive computable bounds of deviations from the exact solution of the stationary Oseen problem. They are applied to approximations generated by the Uzawa iteration method. Also, we derive an advanced form of the estimate, which takes into account approximation errors arising due to discretization of the boundary value problem, generated by the main step of the Uzawa method. Numerical tests confirm our theoretical results and show practical applicability of the estimates.<\/jats:p>","DOI":"10.1515\/cmam-2014-0010","type":"journal-article","created":{"date-parts":[[2014,5,21]],"date-time":"2014-05-21T12:49:39Z","timestamp":1400676579000},"page":"373-383","source":"Crossref","is-referenced-by-count":2,"title":["A Posteriori Error Bounds for Approximations of the Oseen Problem and Applications to\nthe Uzawa Iteration Algorithm"],"prefix":"10.1515","volume":"14","author":[{"given":"Marjaana","family":"Nokka","sequence":"first","affiliation":[{"name":"Department of Mathematical Information Technology, University of Jyv\u00e4skyl\u00e4, FI-40014 University of Jyv\u00e4skyl\u00e4, Finland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sergey","family":"Repin","sequence":"additional","affiliation":[{"name":"University of Jyv\u00e4skyl\u00e4, Finland; and St. Petersburg Department of Steklov Institute, Russian Academy of Sciences, Fontanka 27, 191023 St. Petersburg, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2014,4,24]]},"container-title":["Computational Methods in Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/14\/3\/article-p373.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/cmam-2014-0010\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/cmam-2014-0010\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,3,31]],"date-time":"2023-03-31T21:08:43Z","timestamp":1680296923000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/cmam-2014-0010\/html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,4,24]]},"references-count":0,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2014,4,24]]},"published-print":{"date-parts":[[2014,7,1]]}},"alternative-id":["10.1515\/cmam-2014-0010"],"URL":"https:\/\/doi.org\/10.1515\/cmam-2014-0010","relation":{},"ISSN":["1609-4840","1609-9389"],"issn-type":[{"value":"1609-4840","type":"print"},{"value":"1609-9389","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,4,24]]}}}