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Several numerical examples are given to illustrate the efficiency of the error estimator and the performance of the adaptive algorithm.<\/jats:p>","DOI":"10.1137\/17m1155454","type":"journal-article","created":{"date-parts":[[2018,10,23]],"date-time":"2018-10-23T15:24:03Z","timestamp":1540308243000},"page":"3121-3143","source":"Crossref","is-referenced-by-count":21,"title":["A Posteriori Error Estimation for the Stochastic Collocation Finite Element Method"],"prefix":"10.1137","volume":"56","author":[{"given":"Diane","family":"Guignard","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Fabio","family":"Nobile","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2018,10,23]]},"reference":[{"key":"atypb1","doi-asserted-by":"publisher","DOI":"10.1137\/050645142"},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.1137\/060663660"},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.1137\/040615201"},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-2553-7"},{"key":"atypb5","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511761188"},{"key":"atypb6","doi-asserted-by":"publisher","DOI":"10.1017\/S0962492913000044"},{"key":"atypb7","doi-asserted-by":"publisher","DOI":"10.1287\/opre.1070.0496"},{"key":"atypb8","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-3094-6"},{"key":"atypb9","volume-title":"Sci. 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Klimke,\n                      Uncertainty Modeling Using Fuzzy Arithmetic and Sparse Grids\n                      , Ph.D. thesis, Universit\u00e4t Stuttgart, Stuttgart, Germany, 2006."},{"key":"atypb20","first-page":"191","volume-title":"Sparse Grids and Applications--- Stuttgart","author":"Nobile F.","year":"2014"},{"key":"atypb21","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-09-02248-0"},{"key":"atypb22","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/29\/6\/065011"},{"key":"atypb23","doi-asserted-by":"publisher","DOI":"10.1007\/s40072-015-0055-9"},{"key":"atypb24","doi-asserted-by":"publisher","DOI":"10.1051\/m2an\/2012027"},{"key":"atypb25","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2013.11.015"},{"key":"atypb26","doi-asserted-by":"publisher","DOI":"10.1051\/m2an\/2015017"},{"key":"atypb27","doi-asserted-by":"publisher","DOI":"10.1137\/07069047X"},{"key":"atypb28","first-page":"240","volume":"4","author":"Smolyak S. 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Application aux EDP param\u00e9triques\n                      , Ph.D. thesis, Laboratoire Jacques Louis Lions, Paris, 2014."},{"key":"atypb34","doi-asserted-by":"publisher","DOI":"10.4064\/ap-4-1-8-13"}],"container-title":["SIAM Journal on Numerical Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/17M1155454","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T15:41:11Z","timestamp":1787326871000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/17M1155454"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,1]]},"references-count":34,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2018,1]]}},"alternative-id":["10.1137\/17M1155454"],"URL":"https:\/\/doi.org\/10.1137\/17m1155454","relation":{},"ISSN":["0036-1429","1095-7170"],"issn-type":[{"value":"0036-1429","type":"print"},{"value":"1095-7170","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,1]]}}}