{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T23:24:55Z","timestamp":1773876295040,"version":"3.50.1"},"reference-count":9,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2006,1,17]],"date-time":"2006-01-17T00:00:00Z","timestamp":1137456000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2006,1,17]],"date-time":"2006-01-17T00:00:00Z","timestamp":1137456000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Numer. Math."],"published-print":{"date-parts":[[2006,3]]},"DOI":"10.1007\/s00211-005-0662-x","type":"journal-article","created":{"date-parts":[[2006,1,16]],"date-time":"2006-01-16T10:28:57Z","timestamp":1137407337000},"page":"155-169","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":89,"title":["The Morley element for fourth order elliptic equations in any dimensions"],"prefix":"10.1007","volume":"103","author":[{"given":"Wang","family":"Ming","sequence":"first","affiliation":[]},{"given":"Jinchao","family":"Xu","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2006,1,17]]},"reference":[{"key":"662_CR1","unstructured":"Bazeley, G.P., Cheung, Y.K., Irons, B.M., Zienkiewicz, O.C.: Triangular elements in plate bending \u2014 conforming and nonconforming solutions, in Proceedings of the Conference on Matrix Methods in Structural Mechanics, Wright Patterson A. F. Base, Ohio, 1965, 547\u2013576"},{"key":"662_CR2","doi-asserted-by":"crossref","unstructured":"Ciarlet, P.G.: The Finite Element Method for Elliptic Problems. North-Holland. Amsterdam, New York, 1978","DOI":"10.1115\/1.3424474"},{"key":"662_CR3","first-page":"9","volume":"-1","author":"P. Lascaux","year":"1985","unstructured":"Lascaux, P., Lesaint, P.: Some nonconforming finite elements for the plate bending problem. RAIRO Anal. Numer. R-1, 9\u201353 (1985)","journal-title":"RAIRO Anal. Numer. R"},{"key":"662_CR4","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1017\/S0001925900004546","volume":"19","author":"Morley","year":"1968","unstructured":"Morley, L.S.D: The triangular equilibrium element in the solution of plate bending problems. Aero. Quart. 19, 149\u2013169 (1968)","journal-title":"Aero. Quart."},{"key":"662_CR5","doi-asserted-by":"publisher","first-page":"33","DOI":"10.1007\/BF01401020","volume":"52","author":"Ruas","year":"1988","unstructured":"Ruas, V.: A quadratic finite element method for solving biharmonic problems in R\n                           \n                    n\n                  . Numer Math 52, 33\u201343 (1988)","journal-title":"Numer Math"},{"key":"662_CR6","first-page":"2","volume":"12","author":"12","year":"1990","unstructured":"Shi Zhong-ci: On the error estimates of Morley element. Numerica Mathematica Sinica 12,2 113\u2013118 (1990)","journal-title":"Numerica Mathematica Sinica"},{"key":"662_CR7","unstructured":"Strang, G., Fix, G.J.: An Analysis of the Finite Element Method. Prentice-Hall, Englewood Cliffs, 1973"},{"key":"662_CR8","first-page":"2","volume":"39","author":"39","year":"2002","unstructured":"Wang Ming: On the necessity and sufficiency of the patch test for convergence of nonconforming finite elements. SIAM J Numer Anal 39,2 363\u2013384 (2002)","journal-title":"SIAM J Numer Anal"},{"key":"662_CR9","unstructured":"Wang Ming and Jinchao Xu, Some tetrahedron nonconforming elements for fourth order elliptic equations, Math Comp, accepted"}],"container-title":["Numerische Mathematik"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00211-005-0662-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00211-005-0662-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00211-005-0662-x","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00211-005-0662-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,5,14]],"date-time":"2022-05-14T03:39:09Z","timestamp":1652499549000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00211-005-0662-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,1,17]]},"references-count":9,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2006,3]]}},"alternative-id":["662"],"URL":"https:\/\/doi.org\/10.1007\/s00211-005-0662-x","relation":{},"ISSN":["0029-599X","0945-3245"],"issn-type":[{"value":"0029-599X","type":"print"},{"value":"0945-3245","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,1,17]]},"assertion":[{"value":"9 November 2004","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"18 July 2005","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"17 January 2006","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}