{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,12]],"date-time":"2026-02-12T09:52:45Z","timestamp":1770889965730,"version":"3.50.1"},"reference-count":21,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2015,1,4]],"date-time":"2015-01-04T00:00:00Z","timestamp":1420329600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Sci Comput"],"published-print":{"date-parts":[[2015,11]]},"DOI":"10.1007\/s10915-014-9978-y","type":"journal-article","created":{"date-parts":[[2015,1,3]],"date-time":"2015-01-03T07:30:55Z","timestamp":1420270255000},"page":"598-621","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Max-Norm Stability of Low Order Taylor\u2013Hood Elements in Three Dimensions"],"prefix":"10.1007","volume":"65","author":[{"given":"Johnny","family":"Guzm\u00e1n","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Manuel A.","family":"S\u00e1nchez","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2015,1,4]]},"reference":[{"issue":"3","key":"9978_CR1","doi-asserted-by":"crossref","first-page":"367","DOI":"10.1051\/m2an\/1995290303671","volume":"29","author":"DN Arnold","year":"1995","unstructured":"Arnold, D.N., Liu, X.B.: Local error estimates for finite element discretizations of the Stokes equations. RAIRO Mod\u00e9l. Math. Anal. Num\u00e9r 29(3), 367\u2013389 (1995)","journal-title":"RAIRO Mod\u00e9l. Math. Anal. Num\u00e9r"},{"issue":"2","key":"9978_CR2","doi-asserted-by":"crossref","first-page":"664","DOI":"10.1137\/S0036142994270193","volume":"34","author":"D Boffi","year":"1997","unstructured":"Boffi, D.: Three-dimensional finite element methods for the Stokes problem. SIAM J. Numer. Anal. 34(2), 664\u2013670 (1997)","journal-title":"SIAM J. Numer. Anal."},{"issue":"1","key":"9978_CR3","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1137\/S0036142903438100","volume":"44","author":"H Chen","year":"2006","unstructured":"Chen, H.: Pointwise error estimates for finite element solutions of the Stokes problem. SIAM J. Numer. Anal. 44(1), 1\u201328 (2006). (electronic)","journal-title":"SIAM J. Numer. Anal."},{"issue":"1","key":"9978_CR4","doi-asserted-by":"crossref","first-page":"74","DOI":"10.1137\/0520006","volume":"20","author":"M Dauge","year":"1989","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)","journal-title":"SIAM J. Math. Anal."},{"issue":"273","key":"9978_CR5","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1090\/S0025-5718-2010-02353-1","volume":"80","author":"A Demlow","year":"2011","unstructured":"Demlow, A., Guzm\u00e1n, J., Schatz, A.H.: Local energy estimates for the finite element method on sharply varying grids. Math. Comput. 80(273), 1\u20139 (2011)","journal-title":"Math. Comput."},{"issue":"150","key":"9978_CR6","doi-asserted-by":"crossref","first-page":"441","DOI":"10.1090\/S0025-5718-1980-0559195-7","volume":"34","author":"T Dupont","year":"1980","unstructured":"Dupont, T., Scott, R.: Polynomial approximation of functions in Sobolev spaces. Math. Comput. 34(150), 441\u2013463 (1980)","journal-title":"Math. Comput."},{"key":"9978_CR7","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-4355-5","volume-title":"Theory and Practice of Finite Elements, volume 159 of Applied Mathematical Sciences","author":"A Ern","year":"2004","unstructured":"Ern, A., Guermond, J.-L.: Theory and Practice of Finite Elements, volume 159 of Applied Mathematical Sciences. Springer, New York (2004)"},{"issue":"3","key":"9978_CR8","doi-asserted-by":"crossref","first-page":"279","DOI":"10.1016\/j.matpur.2004.09.017","volume":"84","author":"V Girault","year":"2005","unstructured":"Girault, V., Nochetto, R.H., Scott, R.: Maximum-norm stability of the finite element Stokes projection. J. Math. Pures Appl. (9) 84(3), 279\u2013330 (2005)","journal-title":"J. Math. Pures Appl. (9)"},{"issue":"1","key":"9978_CR9","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":"9978_CR10","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-61623-5","volume-title":"Finite Element Methods for Navier\u2013Stokes equations, volume 5 of Springer Series in Computational Mathematics","author":"V Girault","year":"1986","unstructured":"Girault, V., Raviart, P.-A.: Finite Element Methods for Navier\u2013Stokes equations, volume 5 of Springer Series in Computational Mathematics. Springer, Berlin (1986). Theory and algorithms"},{"issue":"280","key":"9978_CR11","doi-asserted-by":"crossref","first-page":"1879","DOI":"10.1090\/S0025-5718-2012-02603-2","volume":"81","author":"J Guzm\u00e1n","year":"2012","unstructured":"Guzm\u00e1n, J., Leykekhman, D.: Pointwise error estimates of finite element approximations to the Stokes problem on convex polyhedra. Math. Comp. 81(280), 1879\u20131902 (2012)","journal-title":"Math. Comp."},{"issue":"2","key":"9978_CR12","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1007\/s00211-009-0213-y","volume":"112","author":"J Guzm\u00e1n","year":"2009","unstructured":"Guzm\u00e1n, J., Leykekhman, D., Rossmann, J., Schatz, A.H.: H\u00f6lder estimates for Green\u2019s functions on convex polyhedral domains and their applications to finite element methods. Numer. Math. 112(2), 221\u2013243 (2009)","journal-title":"Numer. Math."},{"issue":"15","key":"9978_CR13","doi-asserted-by":"crossref","first-page":"1766","DOI":"10.1002\/mana.200410340","volume":"278","author":"V Maz\u2019ya","year":"2005","unstructured":"Maz\u2019ya, V., Rossmann, J.: Pointwise estimates for Green\u2019s kernel of a mixed boundary value problem to the Stokes system in a polyhedral cone. Math. Nachr. 278(15), 1766\u20131810 (2005)","journal-title":"Math. Nachr."},{"issue":"4","key":"9978_CR14","doi-asserted-by":"crossref","first-page":"335","DOI":"10.4171\/ZAA\/71","volume":"2","author":"VG Maz\u2019ya","year":"1983","unstructured":"Maz\u2019ya, V.G., Plamenevski\u012d, B.A.: The first boundary value problem for classical equations of mathematical physics in domains with piecewise-smooth boundaries. I. Z. Anal. Anwendungen 2(4), 335\u2013359 (1983)","journal-title":"Z. Anal. Anwendungen"},{"issue":"6","key":"9978_CR15","doi-asserted-by":"crossref","first-page":"523","DOI":"10.4171\/ZAA\/83","volume":"2","author":"VG Maz\u2019ya","year":"1983","unstructured":"Maz\u2019ya, V.G., Plamenevski\u012d, B.A.: The first boundary value problem for classical equations of mathematical physics in domains with piecewise smooth boundaries. II. Z. Anal. Anwendungen 2(6), 523\u2013551 (1983)","journal-title":"Z. Anal. Anwendungen"},{"key":"9978_CR16","doi-asserted-by":"crossref","DOI":"10.1090\/surv\/162","volume-title":"Elliptic Equations in Polyhedral Domains, volume 162 of Mathematical Surveys and Monographs","author":"V Maz\u2019ya","year":"2010","unstructured":"Maz\u2019ya, V., Rossmann, J.: Elliptic Equations in Polyhedral Domains, volume 162 of Mathematical Surveys and Monographs. American Mathematical Society, Providence (2010)"},{"key":"9978_CR17","doi-asserted-by":"crossref","first-page":"937","DOI":"10.1090\/S0025-5718-1974-0373325-9","volume":"28","author":"JA Nitsche","year":"1974","unstructured":"Nitsche, J.A., Schatz, A.H.: Interior estimates for Ritz\u2013Galerkin methods. Math. Comput. 28, 937\u2013958 (1974)","journal-title":"Math. Comput."},{"key":"9978_CR18","first-page":"15","volume":"65","author":"J Rossmann","year":"2010","unstructured":"Rossmann, J.: Green\u2019s matrix of the Stokes system in a convex polyhedron. Rostock. Math. Kolloq. 65, 15\u201328 (2010)","journal-title":"Rostock. Math. Kolloq."},{"key":"9978_CR19","doi-asserted-by":"crossref","unstructured":"Ro\u00dfmann, J.: H\u00f6lder estimates for Green\u2019s matrix of the Stokes system in convex polyhedra. In: Around the Research of Vladimir Maz\u2019ya. II, volume 12 of International Mathematical Series (N.Y.), pp. 315\u2013336. Springer, New York (2010)","DOI":"10.1007\/978-1-4419-1343-2_15"},{"issue":"211","key":"9978_CR20","first-page":"907","volume":"64","author":"AH Schatz","year":"1995","unstructured":"Schatz, A.H., Wahlbin, L.B.: Interior maximum-norm estimates for finite element methods. II. Math. Comput. 64(211), 907\u2013928 (1995)","journal-title":"Math. Comput."},{"issue":"190","key":"9978_CR21","doi-asserted-by":"crossref","first-page":"483","DOI":"10.1090\/S0025-5718-1990-1011446-7","volume":"54","author":"RL Scott","year":"1990","unstructured":"Scott, R.L., Zhang, S.: Finite element interpolation of nonsmooth functions satisfying boundary conditions. Math. Comput. 54(190), 483\u2013493 (1990)","journal-title":"Math. Comput."}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-014-9978-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10915-014-9978-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-014-9978-y","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,2]],"date-time":"2019-06-02T04:45:50Z","timestamp":1559450750000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10915-014-9978-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,1,4]]},"references-count":21,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2015,11]]}},"alternative-id":["9978"],"URL":"https:\/\/doi.org\/10.1007\/s10915-014-9978-y","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"value":"0885-7474","type":"print"},{"value":"1573-7691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,1,4]]}}}