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As a by-product of the present\nanalysis, conditions are derived such that the hierarchical\nerror estimation is reliable and efficient.<\/jats:p>","DOI":"10.1515\/cmam-2016-0013","type":"journal-article","created":{"date-parts":[[2016,3,22]],"date-time":"2016-03-22T13:01:30Z","timestamp":1458651690000},"page":"447-458","source":"Crossref","is-referenced-by-count":4,"title":["A Note on Multilevel Based Error Estimation"],"prefix":"10.1515","volume":"16","author":[{"given":"Helmut","family":"Harbrecht","sequence":"first","affiliation":[{"name":"Departement Mathematik und Informatik, Universit\u00e4t Basel, Spiegelgasse 1, 4051 Basel, Switzerland"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Reinhold","family":"Schneider","sequence":"additional","affiliation":[{"name":"Institut f\u00fcr Mathematik, Technische Universit\u00e4t Berlin, Stra\u00dfe des 17. Juni 136, 10623 Berlin, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"374","published-online":{"date-parts":[[2016,3,22]]},"reference":[{"key":"2023033112444860138_j_cmam-2016-0013_ref_001_w2aab3b7e1542b1b6b1ab2ab1Aa","doi-asserted-by":"crossref","unstructured":"Ainsworth M. and Oden J. T.,\nA Posteriori Error Estimation in Finite Element Analysis,\nPure Appl. Math.,\nJohn Wiley & Sons, New York, 2000.","DOI":"10.1002\/9781118032824"},{"key":"2023033112444860138_j_cmam-2016-0013_ref_002_w2aab3b7e1542b1b6b1ab2ab2Aa","doi-asserted-by":"crossref","unstructured":"Babu\u0161ka I. and Miller A.,\nA feedback finite element method with a posteriori estimation. Part I: The finite element method and some basic properties of the a posteriori error estimator,\nComput. Methods Appl. Mech. Engrg. 61 (1987), no. 1, 1\u201340.","DOI":"10.1016\/0045-7825(87)90114-9"},{"key":"2023033112444860138_j_cmam-2016-0013_ref_003_w2aab3b7e1542b1b6b1ab2ab3Aa","doi-asserted-by":"crossref","unstructured":"Babu\u0161ka I. and Rheinboldt W. C.,\nA-posteriori error estimates for the finite element method,\nInternat. J. Numer. Methods Engrg. 12 (1978), 1597\u20131615.","DOI":"10.1002\/nme.1620121010"},{"key":"2023033112444860138_j_cmam-2016-0013_ref_004_w2aab3b7e1542b1b6b1ab2ab4Aa","doi-asserted-by":"crossref","unstructured":"Bangerth W. and Rannacher R.,\nAdaptive Finite Element Methods for Differential Equations,\nLectures in Math. ETH Z\u00fcrich,\nBirkh\u00e4user, Basel, 2003.","DOI":"10.1007\/978-3-0348-7605-6"},{"key":"2023033112444860138_j_cmam-2016-0013_ref_005_w2aab3b7e1542b1b6b1ab2ab5Aa","doi-asserted-by":"crossref","unstructured":"Binev P., Dahmen W. and DeVore R.,\nAdaptive finite element methods with convergence rates,\nNumer. 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