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Anal."],"published-print":{"date-parts":[[2018,1]]},"abstract":"<jats:p>We consider the stochastic Cahn--Hilliard equation driven by additive Gaussian noise in a convex domain with polygonal boundary in dimension $d\\le 3$. We discretize the equation using a standard finite element method in space and a fully implicit backward Euler method in time. By proving optimal error estimates on subsets of the probability space with arbitrarily large probability and uniform-in-time moment bounds we show that the numerical solution converges strongly to the solution as the discretization parameters tend to zero.<\/jats:p>","DOI":"10.1137\/17m1121627","type":"journal-article","created":{"date-parts":[[2018,3,27]],"date-time":"2018-03-27T12:29:56Z","timestamp":1522153796000},"page":"708-731","source":"Crossref","is-referenced-by-count":32,"title":["Strong Convergence of a Fully Discrete Finite Element Approximation of the Stochastic Cahn--Hilliard  Equation"],"prefix":"10.1137","volume":"56","author":[{"given":"Daisuke","family":"Furihata","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mih\u00e1ly","family":"Kov\u00e1cs","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Stig","family":"Larsson","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Fredrik","family":"Lindgren","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2018,3,27]]},"reference":[{"key":"atypb1","volume-title":"Strong Convergence Rates for Nonlinearity-Truncated Euler-Type Approximations of Stochastic Ginzburg-Landau Equations, preprint, arXiv:1601.05756","author":"Becker S.","year":"2016"},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.1137\/110845756"},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.1093\/imanum\/drs035"},{"key":"atypb4","volume-title":"International Conference on Differential Equations, Vols. 1, 2","author":"Bl\u00f6mker D.","year":"1999"},{"key":"atypb5","doi-asserted-by":"publisher","DOI":"10.1093\/imanum\/drs032"},{"key":"atypb6","volume-title":"Laboratoire des Probabilit\u00e9s et Model\u00e8les Al\u00e9atoires","author":"Cardon-Weber C.","year":"2000"},{"key":"atypb7","doi-asserted-by":"publisher","DOI":"10.1137\/110845008"},{"key":"atypb8","first-page":"18","author":"Cook H. 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