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Based on best approximation, on inverse inequalities and on stability of the discretization, and complementary to our previous work, an abstract approach yields a converse estimate. This estimate proves efficiency of an a posteriori error estimate in the BEM on quasi\u2013uniform meshes for Symm\u2019s integral equation, for a hypersingular equation, and for a transmission problem.<\/p>","DOI":"10.1090\/s0025-5718-96-00671-0","type":"journal-article","created":{"date-parts":[[2002,7,26]],"date-time":"2002-07-26T18:14:44Z","timestamp":1027707284000},"page":"69-84","source":"Crossref","is-referenced-by-count":27,"title":["Efficiency of a posteriori BEM\u2013error estimates for first-kind integral equations on quasi\u2013uniform meshes"],"prefix":"10.1090","volume":"65","author":[{"given":"Carsten","family":"Carstensen","sequence":"first","affiliation":[]}],"member":"14","published-online":{"date-parts":[[1996]]},"reference":[{"issue":"1","key":"1","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/0045-7825(87)90114-9","article-title":"A feedback finite element method with a posteriori error estimation. I. 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