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The error of the gradients is measured in the so-called quasi-norm, i.e., we measure the $L^2$-error of $\\vert{\\nabla \\mathbf{v}}\\vert^{\\frac{p-2}{2}} \\nabla \\mathbf{v}$.<\/jats:p>","DOI":"10.1137\/130946046","type":"journal-article","created":{"date-parts":[[2015,2,19]],"date-time":"2015-02-19T11:59:15Z","timestamp":1424347155000},"page":"551-572","source":"Crossref","is-referenced-by-count":33,"title":["Finite Element Approximation of the $p(\\cdot)$-Laplacian"],"prefix":"10.1137","volume":"53","author":[{"given":"Dominic","family":"Breit","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Lars","family":"Diening","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Sebastian","family":"Schwarzacher","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2015,2,19]]},"reference":[{"key":"atypb1","doi-asserted-by":"publisher","DOI":"10.1007\/s002050100117"},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.1515\/crll.2005.2005.584.117"},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.1007\/s10444-008-9082-7"},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.1093\/imanum\/drr016"},{"key":"atypb5","first-page":"1","volume-title":"Longman","author":"Barrett J. 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