{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T11:02:50Z","timestamp":1760266970278},"reference-count":11,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2009,5,1]],"date-time":"2009-05-01T00:00:00Z","timestamp":1241136000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Adv Comput Math"],"published-print":{"date-parts":[[2010,8]]},"DOI":"10.1007\/s10444-009-9127-6","type":"journal-article","created":{"date-parts":[[2009,5,4]],"date-time":"2009-05-04T14:28:23Z","timestamp":1241447303000},"page":"215-230","source":"Crossref","is-referenced-by-count":12,"title":["Error analysis of finite element approximations of the stochastic Stokes equations"],"prefix":"10.1007","volume":"33","author":[{"given":"Yanzhao","family":"Cao","sequence":"first","affiliation":[]},{"given":"Zheng","family":"Chen","sequence":"additional","affiliation":[]},{"given":"Max","family":"Gunzburger","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2009,5,1]]},"reference":[{"key":"9127_CR1","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-4338-8","volume-title":"The Mathematical Theory of Finite Element Method","author":"S Brenner","year":"1994","unstructured":"Brenner, S., Scott, L.: The Mathematical Theory of Finite Element Method. Springer, New York (1994)"},{"key":"9127_CR2","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1007\/s00211-007-0062-5","volume":"106","author":"Y Cao","year":"2007","unstructured":"Cao, Y., Yang, H., Yin, L.: Finite element methods for semilinear elliptic stochastic partial differential equations. Numer. Math. 106, 181\u2013198 (2007)","journal-title":"Numer. Math."},{"issue":"1","key":"9127_CR3","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1007\/s002201224083","volume":"224","author":"E Weinan","year":"2001","unstructured":"Weinan, E., Mattingly, J., Sinai, Y.: Gibbsian dynamics and ergodicity for the stochastic forced Navier-Stokes equation. Comm. Math. Phys. 224(1), 83\u2013106 (2001)","journal-title":"Comm. Math. Phys."},{"key":"9127_CR4","doi-asserted-by":"crossref","first-page":"403","DOI":"10.1007\/BF01194988","volume":"1","author":"F Flandoli","year":"1994","unstructured":"Flandoli, F.: Dissipativity and invariant measures for stochastic Navier-Stokes equations. NoDEA 1, 403\u2013426 (1994)","journal-title":"NoDEA"},{"key":"9127_CR5","volume-title":"Finite Element Methods for Viscous Incompressible Flows: A Guide to Theory, Practice, and Algorithms","author":"M Gunzburger","year":"1989","unstructured":"Gunzburger, M.: Finite Element Methods for Viscous Incompressible Flows: A Guide to Theory, Practice, and Algorithms. Academic, London (1989)"},{"key":"9127_CR6","doi-asserted-by":"crossref","first-page":"687","DOI":"10.1016\/j.jcp.2006.01.008","volume":"216","author":"T Hou","year":"2006","unstructured":"Hou, T., Luo, W., Rozovskii, B., Zhou, H.: Wiener chaos expansions and numerical solutions of randomly forced equations of fluid mechanics. J. Comput. Phys. 216, 687\u2013706 (2006)","journal-title":"J. Comput. Phys."},{"key":"9127_CR7","volume-title":"The Mathematical Theory of Viscous Incompressible Flows","author":"O Ladyzhenskaya","year":"1969","unstructured":"Ladyzhenskaya, O.: The Mathematical Theory of Viscous Incompressible Flows, 2nd edn. Gordon and Breach, New York (1969)","edition":"2"},{"key":"9127_CR8","doi-asserted-by":"crossref","first-page":"1742","DOI":"10.1002\/cpa.20136","volume":"59","author":"J Mattingly","year":"2006","unstructured":"Mattingly, J., Pardoux, E.: Malliavin calculus for the stochastic 2d Navier-Stokes equation. Comm. Pure Appl. Math. 59, 1742\u20131790 (2006)","journal-title":"Comm. Pure Appl. Math."},{"key":"9127_CR9","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-61623-5","volume-title":"Finite Element Methods for Navier-Stokes Equations","author":"V Girault","year":"1986","unstructured":"Girault, V., Raviart, P.: Finite Element Methods for Navier-Stokes Equations. Springer, Berlin (1986)"},{"key":"9127_CR10","first-page":"265","volume-title":"Lecture Notes in Mathematics 1180","author":"J Walsh","year":"1986","unstructured":"Walsh, J.: An introduction to stochastic partial differential equations. In: Lecture Notes in Mathematics 1180, pp. 265\u2013439. Springer, New York (1986)"},{"key":"9127_CR11","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1016\/S0021-9991(03)00092-5","volume":"187","author":"D Xiu","year":"2003","unstructured":"Xiu, D., Karniadakis, G.: Modeling uncertainty in flow simulations via generalized polynomial chaos. J. Comput. Phys. 187, 137\u2013167 (2003)","journal-title":"J. Comput. Phys."}],"container-title":["Advances in Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-009-9127-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10444-009-9127-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-009-9127-6","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T13:08:12Z","timestamp":1559135292000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10444-009-9127-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,5,1]]},"references-count":11,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2010,8]]}},"alternative-id":["9127"],"URL":"https:\/\/doi.org\/10.1007\/s10444-009-9127-6","relation":{},"ISSN":["1019-7168","1572-9044"],"issn-type":[{"value":"1019-7168","type":"print"},{"value":"1572-9044","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,5,1]]}}}