{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T15:12:32Z","timestamp":1725549152982},"publisher-location":"Berlin, Heidelberg","reference-count":19,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642118418"},{"type":"electronic","value":"9783642118425"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2010]]},"DOI":"10.1007\/978-3-642-11842-5_81","type":"book-chapter","created":{"date-parts":[[2010,3,5]],"date-time":"2010-03-05T17:12:15Z","timestamp":1267809135000},"page":"579-585","source":"Crossref","is-referenced-by-count":0,"title":["A Two-Level Stabilized Nonconforming Finite Element Method for the Stationary Navier-Stokes Equations"],"prefix":"10.1007","author":[{"given":"Liping","family":"Zhu","sequence":"first","affiliation":[]},{"given":"Zhangxin","family":"Chen","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"81_CR1","volume-title":"Finite Element Methods and Their Applications","author":"Z. Chen","year":"2005","unstructured":"Chen, Z.: Finite Element Methods and Their Applications. Springer, Heidelberg (2005)"},{"key":"81_CR2","doi-asserted-by":"publisher","first-page":"747","DOI":"10.1051\/m2an:1999161","volume":"33","author":"J. Douglas Jr.","year":"1999","unstructured":"Douglas Jr., J., Santos, J.E., Sheen, D., Ye, X.: Nonconforming Galenkin methods based on quadrilateral elements for second order elliptic problems. Math. Modelling and Numerical Analysis\u00a033, 747\u2013770 (1999)","journal-title":"Math. Modelling and Numerical Analysis"},{"key":"81_CR3","doi-asserted-by":"crossref","unstructured":"Cai, Z., Douglas Jr., J., Ye, X.: A stable nonconforming quadrilateral finite element method for the stationary Stokes and Navier-Stokes equations. Calcolo\u00a0(36), 215\u2013232 (1999)","DOI":"10.1007\/s100920050031"},{"key":"81_CR4","doi-asserted-by":"publisher","first-page":"101","DOI":"10.1016\/S0096-3003(99)00145-9","volume":"115","author":"Y. Kim","year":"2000","unstructured":"Kim, Y., Lee, S.: Stable nonconforming quadrilateral finite elements for the Stokes problem. Applied Mathematics and Computation\u00a0115, 101\u2013112 (2000)","journal-title":"Applied Mathematics and Computation"},{"key":"81_CR5","doi-asserted-by":"crossref","unstructured":"Li, J., Chen, Z.: A new local stabilized nonconforming finite element method for the Stokes equations. Computing\u00a0(82), 157\u2013170 (2008)","DOI":"10.1007\/s00607-008-0001-z"},{"key":"81_CR6","unstructured":"Zhu, L., Li, J., Chen, Z.: A new local stabilized nonconforming fintite element method for the stationary Navier-Stokes equations (submitted for publication)"},{"key":"81_CR7","doi-asserted-by":"publisher","first-page":"231","DOI":"10.1137\/0915016","volume":"15","author":"J. Xu","year":"1994","unstructured":"Xu, J.: A novel two-grid method for semilinear elliptic equatios. SIAM J. Sci. Comput.\u00a015, 231\u2013237 (1994)","journal-title":"SIAM J. Sci. Comput."},{"key":"81_CR8","doi-asserted-by":"publisher","first-page":"1759","DOI":"10.1137\/S0036142992232949","volume":"33","author":"J. Xu","year":"1996","unstructured":"Xu, J.: Two-grid finite element discritizations for nonlinear PDEs. SIAM J. Numer. Anal.\u00a033, 1759\u20131777 (1996)","journal-title":"SIAM J. Numer. Anal."},{"key":"81_CR9","doi-asserted-by":"publisher","first-page":"33","DOI":"10.1016\/0898-1221(93)90318-P","volume":"26","author":"W. Layton","year":"1993","unstructured":"Layton, W.: A two-level discretization method for the Navier-Stokes equations. Comput. Math. Appl.\u00a026, 33\u201338 (1993)","journal-title":"Comput. Math. Appl."},{"key":"81_CR10","doi-asserted-by":"publisher","first-page":"263","DOI":"10.1016\/0096-3003(94)00134-P","volume":"69","author":"W. Layton","year":"1995","unstructured":"Layton, W., Lenferink, W.: Two-level Picard and modified Picard methods for the Navier-Stokes equatios. Appl. Math. Comput.\u00a069, 263\u2013274 (1995)","journal-title":"Appl. Math. Comput."},{"key":"81_CR11","doi-asserted-by":"publisher","first-page":"2035","DOI":"10.1137\/S003614299630230X","volume":"35","author":"W. Layton","year":"1998","unstructured":"Layton, W., Tobiska, L.: A two-level method with backtracking for the Navier-Stokes equations. SIAM J. Numer. Anal.\u00a035, 2035\u20132054 (1998)","journal-title":"SIAM J. Numer. Anal."},{"key":"81_CR12","doi-asserted-by":"publisher","first-page":"945","DOI":"10.1051\/m2an:2001145","volume":"35","author":"V. Girault","year":"2001","unstructured":"Girault, V., Lions, J.L.: Two-grid finite element scheme for the transient Navier-Stokes problem. Math. Model. and Numer. Anal.\u00a035, 945\u2013980 (2001)","journal-title":"Math. Model. and Numer. Anal."},{"key":"81_CR13","first-page":"1","volume":"2","author":"Y. He","year":"2006","unstructured":"He, Y., Li, J., Yang, X.: Two-level penalized finite element methods for the stationary Navier-Stokes equations. Intern. J. Inform. System Sciences\u00a02, 1\u201316 (2006)","journal-title":"Intern. J. Inform. System Sciences"},{"key":"81_CR14","doi-asserted-by":"publisher","first-page":"173","DOI":"10.1016\/S0377-0427(99)00056-4","volume":"104","author":"M.A. Olshanskii","year":"1999","unstructured":"Olshanskii, M.A.: Two-level method and some a priori estimates in unsteady Navier-Stokes calculations. J. Comp. Appl. Math.\u00a0104, 173\u2013191 (1999)","journal-title":"J. Comp. Appl. Math."},{"key":"81_CR15","doi-asserted-by":"publisher","first-page":"1263","DOI":"10.1137\/S0036142901385659","volume":"41","author":"Y. He","year":"2003","unstructured":"He, Y.: Two-level method based on finite element and Crank-Nicolson extrapolation for the time-dependent Navier-Stokes equations. SIAM J. Numer. Anal.\u00a041, 1263\u20131285 (2003)","journal-title":"SIAM J. Numer. Anal."},{"key":"81_CR16","first-page":"21","volume":"22","author":"Y. He","year":"2004","unstructured":"He, Y.: A two-level finite Element Galerkin method for the nonstationary Navier-Stokes Equations, I: Spatial discretization. J. Comput. Math.\u00a022, 21\u201332 (2004)","journal-title":"J. Comput. Math."},{"key":"81_CR17","first-page":"33","volume":"22","author":"Y. He","year":"2004","unstructured":"He, Y., Miao, H., Ren, C.: A two-level finite Element Galerkin method for the nonstationary Navier-Stokes equations, II: Time discretization. J. Comput. Math.\u00a022, 33\u201354 (2004)","journal-title":"J. Comput. Math."},{"key":"81_CR18","doi-asserted-by":"publisher","first-page":"403","DOI":"10.1007\/s10444-004-7640-1","volume":"25","author":"Y. He","year":"2006","unstructured":"He, Y., Liu, K.M.: Multi-level spectral Galerkin method for the Navier-Stokes equations I: time discretization. Adv in Comp. Math.\u00a025, 403\u2013433 (2006)","journal-title":"Adv in Comp. Math."},{"key":"81_CR19","doi-asserted-by":"publisher","first-page":"501","DOI":"10.1007\/s00211-005-0632-3","volume":"101","author":"Y. He","year":"2005","unstructured":"He, Y., Liu, K.M., Sun, W.W.: Multi-level spectral Galerkin method for the Navier-Stokes equations I: Spatial discretization. Numer. Math.\u00a0101, 501\u2013522 (2005)","journal-title":"Numer. Math."}],"container-title":["Lecture Notes in Computer Science","High Performance Computing and Applications"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-11842-5_81","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,26]],"date-time":"2019-05-26T17:27:22Z","timestamp":1558891642000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-11842-5_81"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010]]},"ISBN":["9783642118418","9783642118425"],"references-count":19,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-11842-5_81","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2010]]}}}