{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,3,31]],"date-time":"2023-03-31T11:10:59Z","timestamp":1680261059475},"reference-count":27,"publisher":"Walter de Gruyter GmbH","issue":"2","funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-1418960"],"award-info":[{"award-number":["DMS-1418960"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2018,4,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>We consider a reduced Galerkin least-squares finite element method for the Oldroyd-B model of viscoelastic fluid flows. Model problems considered are the flow past a planar channel and a 4-to-1 contraction problems.\nAn a priori error estimate for the reduced Galerkin least-squares method is derived and numerical results supporting the estimate are presented.<\/jats:p>","DOI":"10.1515\/cmam-2017-0022","type":"journal-article","created":{"date-parts":[[2017,7,6]],"date-time":"2017-07-06T10:01:41Z","timestamp":1499335301000},"page":"181-198","source":"Crossref","is-referenced-by-count":0,"title":["A Study on the Galerkin Least-Squares Method for the Oldroyd-B Model"],"prefix":"10.1515","volume":"18","author":[{"given":"Tsu-Fen","family":"Chen","sequence":"first","affiliation":[{"name":"Department of Mathematics , National Chung Cheng University , Chia-Yi 621 , Taiwan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hyesuk","family":"Lee","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences , Clemson University , Clemson , SC 29634-0975 , USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chia-Chen","family":"Liu","sequence":"additional","affiliation":[{"name":"National Bei-Gang Senior High School , Yunlin 651 , Taiwan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2017,7,6]]},"reference":[{"key":"2023033109580930263_j_cmam-2017-0022_ref_001_w2aab3b7e1864b1b6b1ab2ab1Aa","doi-asserted-by":"crossref","unstructured":"F. P. T.  Baaijens,\nApplication of low-order discontinuous Galerkin methods to the analysis of viscoelastic flows,\nJ. Non-Newtonian Fluid Mech. 52 (1994), 37\u201357.","DOI":"10.1016\/0377-0257(94)85057-7"},{"key":"2023033109580930263_j_cmam-2017-0022_ref_002_w2aab3b7e1864b1b6b1ab2ab2Aa","doi-asserted-by":"crossref","unstructured":"F. P. T.  Baaijens,\nMixed finite element methods for viscoelastic flow analysis: A review,\nJ. Non-Newtonian Fluid Mech. 79 (1998), 361\u2013385.","DOI":"10.1016\/S0377-0257(98)00122-0"},{"key":"2023033109580930263_j_cmam-2017-0022_ref_003_w2aab3b7e1864b1b6b1ab2ab3Aa","doi-asserted-by":"crossref","unstructured":"J.  Baranger and D.  Sandri,\nFinite element approximation of viscoelastic fluid flow: Existence of approximate solutions and error bounds. I: Discontinuous constraints,\nNumer. Math. 63 (1992), no. 1, 13\u201327.","DOI":"10.1007\/BF01385845"},{"key":"2023033109580930263_j_cmam-2017-0022_ref_004_w2aab3b7e1864b1b6b1ab2ab4Aa","unstructured":"M.  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Engrg. 190 (2001), no. 29-30, 3893\u20133914.","DOI":"10.1016\/S0045-7825(00)00307-8"},{"key":"2023033109580930263_j_cmam-2017-0022_ref_007_w2aab3b7e1864b1b6b1ab2ab7Aa","doi-asserted-by":"crossref","unstructured":"S. C.  Brenner and L. R.  Scott,\nThe Mathematical Theory of Finite Element Methods,\nTexts Appl. Math. 15,\nSpringer, New York, 1994.","DOI":"10.1007\/978-1-4757-4338-8"},{"key":"2023033109580930263_j_cmam-2017-0022_ref_008_w2aab3b7e1864b1b6b1ab2ab8Aa","doi-asserted-by":"crossref","unstructured":"T. F.  Chen, C. L.  Cox, H. C.  Lee and K. L.  Tung,\nLeast-squares finite element methods for generalized Newtonian and viscoelastic flows,\nAppl. Numer. Math. 60 (2010), no. 10, 1024\u20131040.","DOI":"10.1016\/j.apnum.2010.07.006"},{"key":"2023033109580930263_j_cmam-2017-0022_ref_009_w2aab3b7e1864b1b6b1ab2ab9Aa","doi-asserted-by":"crossref","unstructured":"T.-F.  Chen, H.  Lee and C.-C.  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