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In addition, we address a loss of order of convergence that results from the decomposition and show that the order of convergence is limited by the accuracy of the transferred gradient information. We employ a boundary flux recovery method to regain the expected order of accuracy in an efficient manner.<\/jats:p>","DOI":"10.1137\/060678737","type":"journal-article","created":{"date-parts":[[2008,4,23]],"date-time":"2008-04-23T18:23:16Z","timestamp":1208974996000},"page":"2068-2089","source":"Crossref","is-referenced-by-count":24,"title":["A Posteriori Analysis and Improved Accuracy for an Operator Decomposition Solution of a Conjugate Heat Transfer Problem"],"prefix":"10.1137","volume":"46","author":[{"given":"D.","family":"Estep","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"S.","family":"Tavener","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"T.","family":"Wildey","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2008,4,23]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1137\/1036141"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1007\/BF02248021"},{"key":"R3","doi-asserted-by":"crossref","unstructured":"W. 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