{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,11,13]],"date-time":"2023-11-13T22:27:54Z","timestamp":1699914474257},"reference-count":25,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2004,8,6]],"date-time":"2004-08-06T00:00:00Z","timestamp":1091750400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Numer. Math."],"published-print":{"date-parts":[[2004,9]]},"DOI":"10.1007\/s00211-003-0497-3","type":"journal-article","created":{"date-parts":[[2004,8,5]],"date-time":"2004-08-05T13:25:41Z","timestamp":1091712341000},"page":"427-475","source":"Crossref","is-referenced-by-count":5,"title":["A stabilized space-time discretization for the primitive equations in oceanography"],"prefix":"10.1007","volume":"98","author":[{"given":"T. Chac\u00f3n","family":"Rebollo","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"D. Rodr\u00edguez","family":"G\u00f3mez","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2004,8,6]]},"reference":[{"key":"497_CR1","doi-asserted-by":"crossref","first-page":"109","DOI":"10.21136\/CMJ.1994.128452","volume":"44","author":"Amrouche","year":"119","unstructured":"Amrouche, C., Girault, V.: Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension. Czechoslovak Math. J. 44(119), 109\u2013140 (1994)","journal-title":"Czechoslovak Math. J."},{"key":"497_CR2","doi-asserted-by":"crossref","unstructured":"Az\u00e9rad, P., Guill\u00e9n, F.: \u00c9quations de Navier-Stokes en bassin peu profond: l\u2019approximation hydrostatique. Note C.R.A.S Paris, t. 329, S\u00e9rie I, 961\u2013966 (1999)","DOI":"10.1016\/S0764-4442(00)88586-9"},{"key":"497_CR3","unstructured":"Besson, O.: Finite Element solution of Navier-Stokes equations in shallow domains. Eccomas 2000 Congress Proceedings (CD-Rom), Barcelona, 2000"},{"key":"497_CR4","doi-asserted-by":"crossref","first-page":"855","DOI":"10.1051\/m2an\/1992260708551","volume":"26","author":"Besson","year":"7","unstructured":"Besson, O., Laydi, M.R.: Some estimates for the anisotropic Navier-Stokes Equations and for the hydrostatic approximation. Math. Mod. Num. Anal. 26(7), 855\u2013865 (1992)","journal-title":"Math. Mod. Num. Anal."},{"key":"497_CR5","doi-asserted-by":"crossref","first-page":"1212","DOI":"10.1137\/0726068","volume":"26","author":"Bernardi","year":"5","unstructured":"Bernardi, C.: Optimal Finite Element interpolation on curved domains. SIAM J. Numer. Anal. 26(5), 1212\u20131240 (1989)","journal-title":"SIAM J. Numer. Anal."},{"key":"497_CR6","unstructured":"Br\u00e9zis, H.: Analyse Fonctionelle. Th\u00e9orie et applications. Masson, Par\u00eds, 1983"},{"key":"497_CR7","doi-asserted-by":"crossref","first-page":"347","DOI":"10.1016\/0021-9991(69)90004-7","volume":"4","author":"Bryan","year":"1969","unstructured":"Bryan, K.: A numerical method for the study of the circulation of the World Ocean. J. Comp. Phys. 4, 347\u2013376 (1969)","journal-title":"J. Comp. Phys."},{"key":"497_CR8","unstructured":"Ciarlet, P.G.: The Finite Element Method for Elliptic Problems. North-Holland, Amsterdam, 1987"},{"key":"497_CR9","doi-asserted-by":"crossref","unstructured":"Chac\u00f3n Rebollo, T.: An analysis technique for Stabilized Finite Element solution of Incompressible Flows. M2AN 35(1), 57\u201389 (2001)","DOI":"10.1051\/m2an:2001107"},{"key":"497_CR10","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1016\/S0045-7825(99)00195-4","volume":"182","author":"Rebollo","year":"2000","unstructured":"Chac\u00f3n Rebollo, T., Dom\u00ednguez Delgado, A.: A unified analysis of mixed and stabilized finite element solutions of Navier-Stokes equations. Comput. Methods Appl. Mech. Engrg. 182, 301\u2013331 (2000)","journal-title":"Comput. Methods Appl. Mech. Engrg."},{"key":"497_CR11","doi-asserted-by":"crossref","first-page":"841","DOI":"10.1016\/S0764-4442(00)00266-4","volume":"330","author":"Rebollo","year":"2000","unstructured":"Chac\u00f3n Rebollo, T., Guill\u00e9n Gonz\u00e1lez, F.: An intrinsic analysis of the hydrostatic approximation of Navier-Stokes equations. C. R. Acad. Sci. Paris, S\u00e9rie I 330, 841\u2013846 (2000)","journal-title":"C. R. Acad. Sci. Paris, S\u00e9rie I"},{"key":"497_CR12","unstructured":"Chac\u00f3n Rebollo, T., Rodr\u00edguez G\u00f3mez, D.: A numerical solver for the Primitive Equations of the Ocean using term-by-term stabilization. Submitted to Appl. Num. Math., 2003"},{"key":"497_CR13","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1016\/S0045-7825(97)00206-5","volume":"156","author":"Codina","year":"1997","unstructured":"Codina, R.: Comparison of some finite element methods for solving the convection-diffusion-reaction equations. Comput. Methods Appl. Mech. Engrg. 156, 185\u2013210 (1997)","journal-title":"Comput. Methods Appl. Mech. Engrg."},{"key":"497_CR14","unstructured":"Gill, A.-E.: Atmosphere-Ocean dynamics. Academic Press, 1982"},{"key":"497_CR15","doi-asserted-by":"crossref","unstructured":"Kowalik, Z., Murty, T.S.: Numerical Modelling of Ocean Dynamics. Advanced Series on Ocean Engineering 5, World Scientific, 1993","DOI":"10.1142\/1970"},{"key":"497_CR16","unstructured":"Lewandowski, R.: Analyse Math\u00e9matique et Oc\u00e9anographie. Masson, 1997"},{"key":"497_CR17","unstructured":"Lions, J.L.: Quelqes m\u00e9thodes de resolution de probl\u00e8mes aux limites non lin\u00e9aires. Gauthier Villard, 1969"},{"key":"497_CR18","doi-asserted-by":"crossref","unstructured":"Lions, J.L.: On some questions in boundary value problems of Mathematical Physics. In: Contemporary Developments in Continuum Mechanics and Partial Differential Equations, G.M. de la Penha and L.A. Medeiros, (eds.), Vol. 30 North-Holland Mathematical Studies, 1978, pp. 284\u2013346","DOI":"10.1016\/S0304-0208(08)70870-3"},{"key":"497_CR19","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1088\/0951-7715\/5\/2\/001","volume":"5","author":"Lions","year":"1992","unstructured":"Lions, J.L., Temam, R., Wang, S.: New formulations of the primitive equations of the atmosphere and applications. Nonlinearity 5, 237\u2013288 (1992)","journal-title":"Nonlinearity"},{"key":"497_CR20","doi-asserted-by":"crossref","first-page":"1007","DOI":"10.1088\/0951-7715\/5\/5\/002","volume":"5","author":"Lions","year":"1992","unstructured":"Lions, J.L., Temam, R., Wang, S.: On the equations of the Large Scale Ocean. Nonlinearity 5, 1007\u20131053 (1992)","journal-title":"Nonlinearity"},{"key":"497_CR21","doi-asserted-by":"crossref","unstructured":"Pedlosky, J.: Geophysical fluid dynamics. Springer-Verlag, 1987","DOI":"10.1007\/978-1-4612-4650-3"},{"key":"497_CR22","doi-asserted-by":"crossref","unstructured":"Quarteroni, A., Valli, A.: Numerical Approximation of Partial Differential Equations. Springer Ser. Comput. Math. 23, Springer-Verlag, 1994","DOI":"10.1007\/978-3-540-85268-1"},{"key":"497_CR23","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1007\/BF01762360","volume":"146","author":"Simon","year":"1987","unstructured":"Simon, J.: Compact sets in the space Lp([0,T],B). Ann. Mat. Pura Appl. 146, 65\u201396 (1987)","journal-title":"Ann. Mat. Pura Appl."},{"key":"497_CR24","doi-asserted-by":"crossref","unstructured":"Temam, R.: Sur la stabilit\u00e9 et la convergence de la m\u00e9thode de pas fractionnaires. Ann. Mat. Pura et Applicata, 191\u2013379 (1968)","DOI":"10.1007\/BF02415183"},{"key":"497_CR25","unstructured":"Temam, R.: Navier-Stokes Equations. North-Holland, Amsterdam, 1977"}],"container-title":["Numerische Mathematik"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00211-003-0497-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00211-003-0497-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00211-003-0497-3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,6,24]],"date-time":"2021-06-24T20:59:42Z","timestamp":1624568382000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00211-003-0497-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,8,6]]},"references-count":25,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2004,9]]}},"alternative-id":["497"],"URL":"https:\/\/doi.org\/10.1007\/s00211-003-0497-3","relation":{},"ISSN":["0029-599X","0945-3245"],"issn-type":[{"value":"0029-599X","type":"print"},{"value":"0945-3245","type":"electronic"}],"subject":[],"published":{"date-parts":[[2004,8,6]]}}}