{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,10]],"date-time":"2026-01-10T18:37:14Z","timestamp":1768070234631,"version":"3.49.0"},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"4","license":[{"start":{"date-parts":[[2009,1,1]],"date-time":"2009-01-01T00:00:00Z","timestamp":1230768000000},"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":[[2009]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We consider residual-based stabilised finite element methods for the generalised\nOseen problem. The unique solvability based on a modified stability condition\nand an error estimate are proved for inf-sup stable discretisations of velocity and pressure.\nThe analysis highlights the role of an additional stabilisation of the incompressibility\nconstraint. It turns out that the stabilisation terms of the streamline-diffusion\n(SUPG) type play a less important role. In particular, there exists a conditional stability\nproblem of the SUPG stabilisation if two relevant problem parameters tend to zero.\nThe analysis extends a recent result to general shape-regular meshes and to discontinuous\npressure interpolation. Some numerical observations support the theoretical\nresults.<\/jats:p>","DOI":"10.2478\/cmam-2009-0024","type":"journal-article","created":{"date-parts":[[2013,4,15]],"date-time":"2013-04-15T16:12:56Z","timestamp":1366042376000},"page":"368-390","source":"Crossref","is-referenced-by-count":17,"title":["Some Remarks on Residual-based Stabilisation of Inf-sup Stable Discretisations of the Generalised Oseen Problem"],"prefix":"10.2478","volume":"9","author":[{"given":"G.","family":"Matthies","sequence":"first","affiliation":[{"name":"1Fachbereich Mathematik, Universit\u00e4t Kassel, Heinrich-Plett-Str. 40, D-34132 Kassel, Germany."}]},{"given":"Nikolai I.","family":"Ionkin","sequence":"additional","affiliation":[{"name":"1Fachbereich Mathematik, Universit\u00e4t Kassel, Heinrich-Plett-Str. 40, D-34132 Kassel, Germany."}]},{"given":"G.","family":"Lube","sequence":"additional","affiliation":[{"name":"2Institut f\u00fcr Numerische und Angewandte Mathematik, Georg-August-Universit\u00e4t G\u00f6ttingen, Lotzestrasse 16-18, 37083 G\u00f6ttingen, Germany."}]},{"given":"L.","family":"R\u00f6he","sequence":"additional","affiliation":[{"name":"2Institut f\u00fcr Numerische und Angewandte Mathematik, Georg-August-Universit\u00e4t G\u00f6ttingen, Lotzestrasse 16-18, 37083 G\u00f6ttingen, Germany."}]}],"member":"374","container-title":["Computational Methods in Applied Mathematics"],"original-title":[],"link":[{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/9\/4\/article-p368.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.2478\/cmam-2009-0024\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,22]],"date-time":"2021-04-22T14:21:31Z","timestamp":1619101291000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/9\/4\/article-p368.xml"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009]]},"references-count":0,"journal-issue":{"issue":"4"},"URL":"https:\/\/doi.org\/10.2478\/cmam-2009-0024","relation":{},"ISSN":["1609-9389","1609-4840"],"issn-type":[{"value":"1609-9389","type":"electronic"},{"value":"1609-4840","type":"print"}],"subject":[],"published":{"date-parts":[[2009]]}}}