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Hence the fundamental question of convergence as well as the question of optimality require new mathematical arguments. The presented adaptive algorithm for Raviart-Thomas mixed finite element methods solves the Poisson model problem, with optimal convergence rate.<\/p>","DOI":"10.1090\/s0025-5718-2010-02397-x","type":"journal-article","created":{"date-parts":[[2010,12,29]],"date-time":"2010-12-29T14:39:14Z","timestamp":1293633554000},"page":"649-667","source":"Crossref","is-referenced-by-count":27,"title":["An optimal adaptive mixed finite element method"],"prefix":"10.1090","volume":"80","author":[{"given":"Carsten","family":"Carstensen","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hella","family":"Rabus","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"14","published-online":{"date-parts":[[2010,8,16]]},"reference":[{"key":"1","series-title":"Pure and Applied Mathematics (New York)","isbn-type":"print","doi-asserted-by":"publisher","DOI":"10.1002\/9781118032824","volume-title":"A posteriori error estimation in finite element analysis","author":"Ainsworth, Mark","year":"2000","ISBN":"https:\/\/id.crossref.org\/isbn\/047129411X"},{"issue":"4","key":"2","doi-asserted-by":"publisher","first-page":"385","DOI":"10.1007\/s002110050222","article-title":"Error estimators for a mixed method","volume":"74","author":"Alonso, A.","year":"1996","journal-title":"Numer. 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