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Under a general assumption on\nthe marking strategy, we show that the algorithm\ngenerates a sequence of discrete solutions that converges strongly to the exact solution in <jats:inline-formula id=\"j_cmam-2016-0032_ineq_9999_w2aab3b7e2457b1b6b1aab1c13b1b1Aa\">\n                     <jats:alternatives>\n                        <m:math xmlns:m=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                           <m:mrow>\n                              <m:msup>\n                                 <m:mi>H<\/m:mi>\n                                 <m:mn>1<\/m:mn>\n                              <\/m:msup>\n                              <m:mo>\u2062<\/m:mo>\n                              <m:mrow>\n                                 <m:mo>(<\/m:mo>\n                                 <m:mi>\u03a9<\/m:mi>\n                                 <m:mo>)<\/m:mo>\n                              <\/m:mrow>\n                           <\/m:mrow>\n                        <\/m:math>\n                        <jats:tex-math>${H^{1}(\\Omega)}$<\/jats:tex-math>\n                     <\/jats:alternatives>\n                  <\/jats:inline-formula>\nand the sequence of error estimators has a vanishing limit. Numerical results show\nclearly the convergence and efficiency of the adaptive algorithm.<\/jats:p>","DOI":"10.1515\/cmam-2016-0032","type":"journal-article","created":{"date-parts":[[2016,10,25]],"date-time":"2016-10-25T10:01:30Z","timestamp":1477389690000},"page":"105-120","source":"Crossref","is-referenced-by-count":1,"title":["A Convergent Adaptive Finite Element Method for Cathodic Protection"],"prefix":"10.1515","volume":"17","author":[{"given":"Guanglian","family":"Li","sequence":"first","affiliation":[{"name":"Institute for Numerical Simulation, University of Bonn, Wegelerstr. 6, 53115 Bonn, Germany"}]},{"given":"Yifeng","family":"Xu","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Scientific Computing Key Laboratory of Shanghai Universities, Shanghai Normal University, Shanghai 200234, P. R. China"}]}],"member":"374","published-online":{"date-parts":[[2016,10,25]]},"reference":[{"key":"2023033115185151457_j_cmam-2016-0032_ref_001_w2aab3b7e2457b1b6b1ab2b1b1Aa","doi-asserted-by":"crossref","unstructured":"Ainsworth M. and Oden J. T.,\nA Posteriori Error Estimation in Finite Element Analysis,\nPure Appl. Math.,\nWiley-Interscience, New York, 2000.","DOI":"10.1002\/9781118032824"},{"key":"2023033115185151457_j_cmam-2016-0032_ref_002_w2aab3b7e2457b1b6b1ab2b1b2Aa","doi-asserted-by":"crossref","unstructured":"Belenki L., Diening L. and Kreuzer C.,\nOptimality of an adaptive finite element method for the p-Laplacian equation,\nIMA J. Numer. Anal. 32 (2012), 484\u2013510.","DOI":"10.1093\/imanum\/drr016"},{"key":"2023033115185151457_j_cmam-2016-0032_ref_003_w2aab3b7e2457b1b6b1ab2b1b3Aa","doi-asserted-by":"crossref","unstructured":"Brenner S. C. and Scott L. R.,\nThe Mathematical Theory of Finite Element Methods, 3rd ed.,\nTexts Appl. 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