{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T19:39:35Z","timestamp":1740166775452,"version":"3.37.3"},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"1","funder":[{"DOI":"10.13039\/501100001809","name":"NSFC","doi-asserted-by":"crossref","award":["11371218, 91330203, 11322113"],"award-info":[{"award-number":["11371218, 91330203, 11322113"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100012166","name":"National Basic Research Program of China","doi-asserted-by":"crossref","award":["2011CB309705"],"award-info":[{"award-number":["2011CB309705"]}],"id":[{"id":"10.13039\/501100012166","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015,1,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>In this paper, we propose a tailored finite point method for linearized incompressible flow\n(Oseen equations) in two dimensions based on the equation decomposition technique.\nUnlike the usual vorticity-stream function formulation,\nthe velocities are decomposed to irrotational and rotational parts.\nWe only need to solve a system of two elliptic equations which are decoupled in the interior domain.\nThey are only coupled in boundary conditions.\nWhen the domain is unbounded, we use the artificial boundary method to reduce the original\nproblem to a problem on a bounded computational domain.\nOur finite point method has been tailored to some particular properties of the\nproblem. Therefore, our scheme satisfies the discrete maximum principle in the interior domain automatically.\nWe also give some remarks on more generally linearized incompressible flow,\nand it can be considered as the first step to solve the incompressible Navier\u2013Stokes problem.\nFinally, several numerical examples show the efficiency and feasibility of our method\nwhatever the Reynolds number is small or large.<\/jats:p>","DOI":"10.1515\/cmam-2014-0028","type":"journal-article","created":{"date-parts":[[2014,11,11]],"date-time":"2014-11-11T17:03:42Z","timestamp":1415725422000},"page":"39-58","source":"Crossref","is-referenced-by-count":0,"title":["An Equation Decomposition Based Tailored Finite Point Method\nfor Linearized Incompressible Flow in Two-Dimensional Space"],"prefix":"10.1515","volume":"15","author":[{"given":"Ye","family":"Li","sequence":"first","affiliation":[{"name":"Department of Mathematical Sciences, Tsinghua University, Beijing 100084, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Houde","family":"Han","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, Tsinghua University, Beijing 100084, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhongyi","family":"Huang","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, Tsinghua University, Beijing 100084, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2014,11,7]]},"container-title":["Computational Methods in Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/15\/1\/article-p39.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/cmam-2014-0028\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/cmam-2014-0028\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,3,31]],"date-time":"2023-03-31T18:42:51Z","timestamp":1680288171000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/cmam-2014-0028\/html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,11,7]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2015,1,1]]},"published-print":{"date-parts":[[2015,1,1]]}},"alternative-id":["10.1515\/cmam-2014-0028"],"URL":"https:\/\/doi.org\/10.1515\/cmam-2014-0028","relation":{},"ISSN":["1609-4840","1609-9389"],"issn-type":[{"type":"print","value":"1609-4840"},{"type":"electronic","value":"1609-9389"}],"subject":[],"published":{"date-parts":[[2014,11,7]]}}}