{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T20:01:16Z","timestamp":1773259276322,"version":"3.50.1"},"reference-count":15,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2012,12,20]],"date-time":"2012-12-20T00:00:00Z","timestamp":1355961600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Sci Comput"],"published-print":{"date-parts":[[2013,8]]},"DOI":"10.1007\/s10915-012-9670-z","type":"journal-article","created":{"date-parts":[[2012,12,19]],"date-time":"2012-12-19T01:20:02Z","timestamp":1355880002000},"page":"219-229","source":"Crossref","is-referenced-by-count":14,"title":["A Note on the Lady\u017eenskaja-Babu\u0161ka-Brezzi Condition"],"prefix":"10.1007","volume":"56","author":[{"given":"Johnny","family":"Guzm\u00e1n","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Abner J.","family":"Salgado","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Francisco-Javier","family":"Sayas","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2012,12,20]]},"reference":[{"issue":"2","key":"9670_CR1","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1007\/BF01399555","volume":"33","author":"M Bercovier","year":"1979","unstructured":"Bercovier, M., Pironneau, O.: Error estimates for finite element method solution of the Stokes problem in the primitive variables. Numer. Math. 33(2), 211\u2013224 (1979)","journal-title":"Numer. Math."},{"key":"9670_CR2","unstructured":"Bogovski\u012d, M.E.: Solutions of some problems of vector analysis, associated with the operators div and grad. In Theory of cubature formulas and the application of functional analysis to problems of mathematical physics, volume 1980 of Trudy Sem. S. L. Soboleva, No. 1, pp. 5\u201340, 149. Akad. Nauk SSSR Sibirsk. Otdel. Inst. Mat., Novosibirsk, Russia (1980)"},{"key":"9670_CR3","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-3172-1","volume-title":"Mixed and hybrid finite element methods","author":"F Brezzi","year":"1991","unstructured":"Brezzi, F., Fortin, M.: Mixed and hybrid finite element methods. Springer, New York (1991)"},{"key":"9670_CR4","unstructured":"Dauge, M.: Stationary Stokes and Navier-Stokes systems on two- or three-dimensional domains with corners. I. Linearized equations. SIAM J. Math. Anal. 20(1), 74\u201397 (1989)"},{"issue":"3","key":"9670_CR5","doi-asserted-by":"crossref","first-page":"207","DOI":"10.4064\/sm148-3-2","volume":"148","author":"RG Dur\u00e1n","year":"2001","unstructured":"Dur\u00e1n, R.G., Muschietti, M.A.: An explicit right inverse of the divergence operator which is continuous in weighted norms. Studia Math. 148(3), 207\u2013219 (2001)","journal-title":"Studia Math."},{"key":"9670_CR6","doi-asserted-by":"crossref","unstructured":"Ern, A., Guermond, J.-L.: Theory and Practice of Finite Elements. Applied Mathematical Sciences, vol. 159. Springer, New York (2004)","DOI":"10.1007\/978-1-4757-4355-5"},{"key":"9670_CR7","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-61623-5","volume-title":"Finite element methods for Navier-Stokes equations. Theory and algorithms. Springer Series in Computational Mathematics","author":"V Girault","year":"1986","unstructured":"Girault, V., Raviart, P.-A.: Finite element methods for Navier-Stokes equations. Theory and algorithms. Springer Series in Computational Mathematics. Springer, Berlin (1986)"},{"issue":"1","key":"9670_CR8","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s100920300000","volume":"40","author":"V Girault","year":"2003","unstructured":"Girault, V., Scott, L.R.: A quasi-local interpolation operator preserving the discrete divergence. Calcolo 40(1), 1\u201319 (2003)","journal-title":"Calcolo"},{"key":"9670_CR9","doi-asserted-by":"crossref","unstructured":"Guermond, J.-L.: Finite-element-based Faedo-Galerkin weak solutions to the Navier-Stokes equations in the three-dimensional torus are suitable. J. Math. Pures Appl. (9) 85(3), 451\u2013464 (2006)","DOI":"10.1016\/j.matpur.2005.10.004"},{"key":"9670_CR10","unstructured":"Guermond, J.-L.: Faedo-Galerkin weak solutions of the Navier-Stokes equations with Dirichlet boundary conditions are suitable. J. Math. Pures Appl. (9) 88(1), 87\u2013106 (2007)"},{"issue":"3","key":"9670_CR11","doi-asserted-by":"crossref","first-page":"790","DOI":"10.1093\/imanum\/drn028","volume":"29","author":"J-L Guermond","year":"2009","unstructured":"Guermond, J.-L.: The LBB condition in fractional Sobolev spaces and applications. IMA J. Numer. Anal. 29(3), 790\u2013805 (2009)","journal-title":"IMA J. Numer. Anal."},{"key":"9670_CR12","unstructured":"Mardal, K.-A., Sch\u00f6berl, J., Winther, R.: A uniform inf-sup condition with applications to preconditioning. arXiv:1201.1513v1, 2012"},{"issue":"277","key":"9670_CR13","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1090\/S0025-5718-2011-02494-4","volume":"81","author":"MA Olshanski\u012d","year":"2012","unstructured":"Olshanski\u012d, M.A.: Multigrid analysis for the time dependent Stokes problem. Math. Comp. 81(277), 57\u201379 (2012)","journal-title":"Math. Comp."},{"issue":"190","key":"9670_CR14","doi-asserted-by":"crossref","first-page":"483","DOI":"10.1090\/S0025-5718-1990-1011446-7","volume":"54","author":"LR Scott","year":"1990","unstructured":"Scott, L.R., Zhang, S.: Finite element interpolation of nonsmooth functions satisfying boundary conditions. Math. Comp. 54(190), 483\u2013493 (1990)","journal-title":"Math. Comp."},{"key":"9670_CR15","doi-asserted-by":"crossref","DOI":"10.1090\/chel\/343","volume-title":"Navier-Stokes equations","author":"R Temam","year":"2001","unstructured":"Temam, R.: Navier-Stokes equations. AMS Chelsea, Providence (2001). Reprint of the 1984 edition"}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-012-9670-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10915-012-9670-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-012-9670-z","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,7,7]],"date-time":"2019-07-07T06:43:09Z","timestamp":1562481789000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10915-012-9670-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,12,20]]},"references-count":15,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2013,8]]}},"alternative-id":["9670"],"URL":"https:\/\/doi.org\/10.1007\/s10915-012-9670-z","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"value":"0885-7474","type":"print"},{"value":"1573-7691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,12,20]]}}}