{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,30]],"date-time":"2022-03-30T16:51:32Z","timestamp":1648659092384},"reference-count":19,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2007,12,1]],"date-time":"2007-12-01T00:00:00Z","timestamp":1196467200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Jrl Syst Sci &amp; Complex"],"published-print":{"date-parts":[[2007,12]]},"DOI":"10.1007\/s11424-007-9051-0","type":"journal-article","created":{"date-parts":[[2007,11,5]],"date-time":"2007-11-05T13:25:09Z","timestamp":1194269109000},"page":"536-544","source":"Crossref","is-referenced-by-count":4,"title":["Superconvergence Analysis of a Nonconforming Triangular Element on Anisotropic Meshes"],"prefix":"10.1007","volume":"20","author":[{"given":"Dongyang","family":"Shi","sequence":"first","affiliation":[]},{"given":"Hui","family":"Liang","sequence":"additional","affiliation":[]},{"given":"Caixia","family":"Wang","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"9051_CR1","volume-title":"Construction and Analysis of High Efficient Finite Elements","author":"Q. Lin","year":"1996","unstructured":"Q. Lin and N. Yan, Construction and Analysis of High Efficient Finite Elements (in Chinese), Hebei University Press, Baoding, 1996."},{"key":"9051_CR2","first-page":"75","volume":"12","author":"B. Li","year":"1990","unstructured":"B. Li, The supeconvergence problems of high order triangular finite element (in Chinese), Math. Comp., 1990, 12: 75\u201379.","journal-title":"Math. Comp."},{"key":"9051_CR3","volume-title":"Superconvergence Theory of the Finite Element Method","author":"Q.D. Zhu","year":"1989","unstructured":"Q. D. Zhu and Q. Lin, Superconvergence Theory of the Finite Element Method (in Chinese), Hunan Science Press, Changsha, 1989."},{"key":"9051_CR4","doi-asserted-by":"crossref","first-page":"1331","DOI":"10.1002\/nme.1620330702","volume":"33","author":"O.C. Zienkiewicz","year":"1992","unstructured":"O. C. Zienkiewicz and J. Z. Zhu, The superconvergence patch recovery and a posteriori error estimates, Part 1: The recovery technique, Int. J. Numer. Methods Engrg., 1992, 33: 1331\u20131364.","journal-title":"Int. J. Numer. Methods Engrg."},{"key":"9051_CR5","doi-asserted-by":"crossref","first-page":"1365","DOI":"10.1002\/nme.1620330703","volume":"33","author":"O.C. Zienkiewicz","year":"1992","unstructured":"O. C. Zienkiewicz and J. Z. Zhu, The superconvergence patch recovery and a posteriori error estimates, Part 2: Error estimates and adaptivity, Int. J. Numer. Methods Engrg., 1992, 33: 1365\u20131382.","journal-title":"Int. J. Numer. Methods Engrg."},{"key":"9051_CR6","doi-asserted-by":"crossref","unstructured":"M. Zlamal, Some superconvergence results in the finite element methods, Lecture Notes in Mathematics, Springer, 1977, 606: 353\u2013362.","DOI":"10.1007\/BFb0064473"},{"key":"9051_CR7","doi-asserted-by":"crossref","first-page":"663","DOI":"10.2307\/2006479","volume":"32","author":"M. Zlamal","year":"1978","unstructured":"M. Zlamal, Some superconvergence and reduced integration in the finite element method, Math. Comp., 1978, 32: 663\u2013685.","journal-title":"Math. Comp."},{"key":"9051_CR8","doi-asserted-by":"crossref","first-page":"1014","DOI":"10.1137\/S0036142999362894","volume":"39","author":"A.H. Zhou","year":"2002","unstructured":"A. H. Zhou, An analysis of some high accuracy finite element methods for hyperbolic problems, SIAM. J. Numer. Math., 2002, 39: 1014\u20131028.","journal-title":"SIAM. J. Numer. Math."},{"key":"9051_CR9","volume-title":"Structure Theory of Superconvergence of Finite Element","author":"C.M. Chen","year":"2002","unstructured":"C. M. Chen, Structure Theory of Superconvergence of Finite Element, Hunan Science and Technology Press, Changsha, 2002."},{"key":"9051_CR10","doi-asserted-by":"crossref","first-page":"643","DOI":"10.1093\/imanum\/21.3.643","volume":"21","author":"Z. Zhang","year":"2001","unstructured":"Z. Zhang, N. Yan, and T. Sun, Superconvergence derivative recovery of the intermediate finite element family of the second order, IMA. J. Numer. Anal., 2001, 21: 643\u2013666.","journal-title":"IMA. J. Numer. Anal."},{"key":"9051_CR11","doi-asserted-by":"crossref","first-page":"165","DOI":"10.1016\/0045-7825(76)90059-1","volume":"9","author":"G.F. Carey","year":"1976","unstructured":"G. F. Carey, An analysis of finite element equations and mesh subdivision, Comput. Methods Appl. Mech. Engrg., 1976, 9: 165\u2013179.","journal-title":"Comput. Methods Appl. Mech. Engrg."},{"key":"9051_CR12","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1016\/0045-7825(85)90100-8","volume":"48","author":"Z.C. Shi","year":"1985","unstructured":"Z. C. Shi, Convergence properties of two nonconforming finite elements, Comput. Methods Appl. Mech. Engrg., 1985, 48: 123\u2013137.","journal-title":"Comput. Methods Appl. Mech. Engrg."},{"key":"9051_CR13","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF01273854","volume":"28","author":"Q. Lin","year":"1995","unstructured":"Q. Lin and P. Luo, High accuracy analysis for a nonconforming membrane element, J. Math. Study, 1995, 28: 1\u20135","journal-title":"J. Math. Study"},{"key":"9051_CR14","doi-asserted-by":"crossref","unstructured":"P. G. Ciarlet, The Finite Element for Elliptic Problem, North-Holland, Amsterdam, 1978.","DOI":"10.1115\/1.3424474"},{"key":"9051_CR15","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1093\/imanum\/24.1.77","volume":"24","author":"S.C. Chen","year":"2004","unstructured":"S. C. Chen, D. Y. Shi, and Y. C. Zhao, Anisotropic interpolation and quasi-Wilson element for narrow quadrilateral meshes, IMA. Numer. Anal., 2004, 24: 77\u201395.","journal-title":"IMA. Numer. Anal."},{"key":"9051_CR16","doi-asserted-by":"crossref","first-page":"135","DOI":"10.1016\/j.apnum.2003.07.005","volume":"49","author":"S.C. Chen","year":"2004","unstructured":"S. C. Chen, Y. C. Zhao, and D. Y. Shi, Anisotropic interpolations with application to nonconforming elements, Appl. Numer. Math., 2004, 49: 135\u2013152.","journal-title":"Appl. Numer. Math."},{"key":"9051_CR17","doi-asserted-by":"crossref","first-page":"277","DOI":"10.1007\/BF02320197","volume":"47","author":"T. Apel","year":"1992","unstructured":"T. Apel and M. Dobrrowolski, Anisotropic interpolation with applications to the finite element method, Computing, 1992, 47: 277\u2013293.","journal-title":"Computing"},{"key":"9051_CR18","volume-title":"Anisotropic Finite Elements: Local Estimate and Applications","author":"T. Apel","year":"1999","unstructured":"T. Apel, Anisotropic Finite Elements: Local Estimate and Applications, B. G. Teubner Stuttgart, Leipzig, 1999."},{"key":"9051_CR19","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1007\/PL00005466","volume":"89","author":"T. Apel","year":"2001","unstructured":"T. Apel, S. Nicaise, and J. Sch\u00f6berl, Crouzeix-Raviart type finite elements on anisotropic meshes, Numer. Math., 2001, 89: 193\u2013223.","journal-title":"Numer. Math."}],"container-title":["Journal of Systems Science and Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11424-007-9051-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11424-007-9051-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11424-007-9051-0","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T14:53:56Z","timestamp":1559400836000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11424-007-9051-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,12]]},"references-count":19,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2007,12]]}},"alternative-id":["9051"],"URL":"https:\/\/doi.org\/10.1007\/s11424-007-9051-0","relation":{},"ISSN":["1009-6124","1559-7067"],"issn-type":[{"value":"1009-6124","type":"print"},{"value":"1559-7067","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,12]]}}}