{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,9]],"date-time":"2024-09-09T16:13:17Z","timestamp":1725898397597},"publisher-location":"Berlin, Heidelberg","reference-count":14,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642163388"},{"type":"electronic","value":"9783642163395"}],"license":[{"start":{"date-parts":[[2010,1,1]],"date-time":"2010-01-01T00:00:00Z","timestamp":1262304000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2010]]},"DOI":"10.1007\/978-3-642-16339-5_45","type":"book-chapter","created":{"date-parts":[[2010,9,29]],"date-time":"2010-09-29T12:02:46Z","timestamp":1285761766000},"page":"341-347","source":"Crossref","is-referenced-by-count":0,"title":["Superconvergence Analysis of Anisotropic Finite Element Method for a Kind of Nonlinear Degenerate Wave Equation"],"prefix":"10.1007","author":[{"given":"Zhiyan","family":"Li","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Linghui","family":"Liu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jingguo","family":"Qu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yuhuan","family":"Cui","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"issue":"5","key":"45_CR1","doi-asserted-by":"publisher","first-page":"880","DOI":"10.1137\/0710073","volume":"10","author":"T. Dupont","year":"1973","unstructured":"Dupont, T.: L\n                  2-Estimates for Galerkin methods for second order hyperbolic equation. SIAM J. Numer. Anal.\u00a010(5), 880\u2013889 (1973)","journal-title":"SIAM J. Numer. Anal."},{"key":"45_CR2","volume-title":"An introduction to the mathematical theory of finite elements","author":"J.T. Oden","year":"1976","unstructured":"Oden, J.T., Reddy, J.N.: An introduction to the mathematical theory of finite elements. Wiley Interscience, New York (1976)"},{"issue":"2","key":"45_CR3","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1051\/m2an\/1988220202431","volume":"22","author":"T. Geveci","year":"1988","unstructured":"Geveci, T.: On the application of mixed finite element methods to the wave equation. RAIRO Model Math. Anal. Numer.\u00a022(2), 243\u2013250 (1988)","journal-title":"RAIRO Model Math. Anal. Numer."},{"key":"45_CR4","volume-title":"Superconvergence analysis of FEMs for the Stokes-Darcy system","author":"W.B. Chen","year":"2010","unstructured":"Chen, W.B., Chen, P.Y., Max, G.B., Yan, N.N.: Superconvergence analysis of FEMs for the Stokes-Darcy system. Wiley Interscience, New York (2010)"},{"issue":"3","key":"45_CR5","first-page":"534","volume":"22","author":"Y.H. Shi","year":"2009","unstructured":"Shi, Y.H., Shi, D.Y.: Superconvergence Analysis and Extrapolation of ACM Finite Element Methods for Viscoelasticity Equation. Math. Appl.\u00a022(3), 534\u2013541 (2009)","journal-title":"Math. Appl."},{"issue":"4","key":"45_CR6","doi-asserted-by":"publisher","first-page":"455","DOI":"10.1007\/s11766-008-1901-6","volume":"23","author":"D.Y. Shi","year":"2008","unstructured":"Shi, D.Y., Li, Z.Y.: Superconvergence analysis of the finite element method for nonlinear hyperbolic equations with nonlinear boundary condition. Appl. Math. J. Chinese Univ.\u00a023(4), 455\u2013462 (2008)","journal-title":"Appl. Math. J. Chinese Univ."},{"key":"45_CR7","volume-title":"The Finite Element Method for Elliptic Problems","author":"P.G. Ciarlet","year":"1987","unstructured":"Ciarlet, P.G.: The Finite Element Method for Elliptic Problems. North-Holland, Amsterdam (1987)"},{"issue":"3","key":"45_CR8","first-page":"261","volume":"23","author":"D.Y. Shi","year":"2005","unstructured":"Shi, D.Y., Mao, S.P., Chen, S.C.: An anisotropic nonconforming finite element with some superconvergence results. J. Comput. Math.\u00a023(3), 261\u2013274 (2005)","journal-title":"J. Comput. Math."},{"issue":"1","key":"45_CR9","doi-asserted-by":"publisher","first-page":"77","DOI":"10.1093\/imanum\/24.1.77","volume":"24","author":"S.C. Chen","year":"2004","unstructured":"Chen, S.C., Shi, D.Y., Zhao, Y.C.: Anisotroptic interpolation and quasi-Wilson element for narrow quadrilateral meshes. IMA J. Numer. Anal.\u00a024(1), 77\u201395 (2004)","journal-title":"IMA J. Numer. Anal."},{"issue":"3","key":"45_CR10","first-page":"277","volume":"47","author":"A. Thomas","year":"1992","unstructured":"Thomas, A., Dobrowolski, M.: Anisotropic interpolation with application to the finite element method. Computing\u00a047(3), 277\u2013293 (1992)","journal-title":"Computing"},{"issue":"8","key":"45_CR11","doi-asserted-by":"publisher","first-page":"1361","DOI":"10.1007\/s11425-008-0107-y","volume":"51","author":"S.C. Chen","year":"2008","unstructured":"Chen, S.C., Xiao, L.C.: Interpolation theory of anisotropic finite elements and applications. Science in China A: Mathematics\u00a051(8), 1361\u20131375 (2008)","journal-title":"Science in China A: Mathematics"},{"issue":"1","key":"45_CR12","doi-asserted-by":"publisher","first-page":"97","DOI":"10.1007\/s11766-009-1943-4","volume":"24","author":"D.Y. Shi","year":"2009","unstructured":"Shi, D.Y., Wang, H.M., Li, Z.Y.: A lumped mass nonconforming finite element method for nonlinear parabolic integro-differential equations on anisotropic meshes. Appl. Math. J. Chinese Univ.\u00a024(1), 97\u2013104 (2009)","journal-title":"Appl. Math. J. Chinese Univ."},{"key":"45_CR13","volume-title":"High Efficiency Finite Element Method Construction and Analysis","author":"Q. Lin","year":"1996","unstructured":"Lin, Q., Yan, N.N.: High Efficiency Finite Element Method Construction and Analysis. Hebei University Press, Hebei (1996)"},{"issue":"4","key":"45_CR14","first-page":"478","volume":"18","author":"D.Y. Shi","year":"2005","unstructured":"Shi, D.Y., Zhu, H.Q.: The superconvergence analysis of an anisotropic element. J. Sys. Sci. Complex\u00a018(4), 478\u2013487 (2005)","journal-title":"J. Sys. Sci. Complex"}],"container-title":["Communications in Computer and Information Science","Information Computing and Applications"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-16339-5_45","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,3,21]],"date-time":"2019-03-21T08:53:23Z","timestamp":1553158403000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-16339-5_45"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010]]},"ISBN":["9783642163388","9783642163395"],"references-count":14,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-16339-5_45","relation":{},"ISSN":["1865-0929","1865-0937"],"issn-type":[{"type":"print","value":"1865-0929"},{"type":"electronic","value":"1865-0937"}],"subject":[],"published":{"date-parts":[[2010]]}}}