{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,29]],"date-time":"2022-03-29T17:06:52Z","timestamp":1648573612510},"reference-count":14,"publisher":"Hindawi Limited","license":[{"start":{"date-parts":[[2012,1,1]],"date-time":"2012-01-01T00:00:00Z","timestamp":1325376000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2012]]},"abstract":"<jats:p>A quadrature-based mixed Petrov-Galerkin finite element method is applied to a fourth-order linear ordinary differential equation. After employing a splitting technique, a cubic spline trial space and a piecewise linear test space are considered in the method. The integrals are then replaced by the Gauss quadrature rule in the formulation itself. Optimal order<jats:italic>a priori<\/jats:italic>error estimates are obtained without any restriction on the mesh.<\/jats:p>","DOI":"10.1155\/2012\/962070","type":"journal-article","created":{"date-parts":[[2012,2,13]],"date-time":"2012-02-13T21:02:11Z","timestamp":1329166931000},"page":"1-18","source":"Crossref","is-referenced-by-count":0,"title":["Discrete Mixed Petrov-Galerkin Finite Element Method for a Fourth-Order Two-Point Boundary Value Problem"],"prefix":"10.1155","volume":"2012","author":[{"given":"L. Jones Tarcius","family":"Doss","sequence":"first","affiliation":[{"name":"Department of Mathematics, Anna University Chennai, CEG Campus, Chennai 600 025, India"}]},{"given":"A. P.","family":"Nandini","sequence":"additional","affiliation":[{"name":"Department of Mathematics, M.N.M Jain Engineering College, Thoraipakkam, Chennai 600097, India"}]}],"member":"98","reference":[{"key":"7","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-1973-0339508-8"},{"key":"8","series-title":"Lecture Notes in Mathematics","volume":"385","year":"1974"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1007\/BF01403890"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1093\/imanum\/13.4.591"},{"key":"10","series-title":"Pitman Research Notes in Mathematics","volume-title":"A qualocation method for a semilinear second-order two-point boundary value problem","volume":"377","year":"1998"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1093\/imanum\/19.3.473"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1093\/imanum\/drh010"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1093\/imanum\/24.1.157"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1002\/num.20391"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1002\/num.20027"},{"key":"5","year":"1975"},{"key":"1","series-title":"Pure and Applied Mathematics","volume":"65","year":"1975"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.2307\/2007825"},{"issue":"136","key":"6","first-page":"765","volume":"30","year":"1976","journal-title":"Mathematics of Computation"}],"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2012\/962070.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2012\/962070.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2012\/962070.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,8,2]],"date-time":"2016-08-02T23:53:48Z","timestamp":1470182028000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/ijmms\/2012\/962070\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"references-count":14,"alternative-id":["962070","962070"],"URL":"https:\/\/doi.org\/10.1155\/2012\/962070","relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"value":"0161-1712","type":"print"},{"value":"1687-0425","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012]]}}}