{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,8,30]],"date-time":"2023-08-30T20:46:31Z","timestamp":1693428391662},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013,7,1]]},"abstract":"<jats:title>Abstract.<\/jats:title><jats:p>\nWe consider the extension of the <jats:italic>p<\/jats:italic>-robust equilibrated error estimator due to Braess, Pillwein and Sch\u00f6berl to linear elasticity.\nWe derive a formulation where the local mixed auxiliary problems do not require symmetry of the stresses.\nThe resulting error estimator is <jats:italic>p<\/jats:italic>-robust, and the reliability estimate is also robust in the incompressible limit if quadratics are included in the approximation space.\nExtensions to other systems of linear second-order partial differential equations are discussed.\nNumerical simulations show only moderate deterioration of the effectivity index for a Poisson ratio close to <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/cmam-2013-0007_167f7f424e50f24d418f44a1573e6977.png\" \/>.\n<\/jats:p>","DOI":"10.1515\/cmam-2013-0007","type":"journal-article","created":{"date-parts":[[2013,9,27]],"date-time":"2013-09-27T16:01:19Z","timestamp":1380297679000},"page":"291-304","source":"Crossref","is-referenced-by-count":5,"title":["Symmetry-Free, p-Robust Equilibrated Error Indication for the hp-Version of the FEM in Nearly Incompressible Linear Elasticity"],"prefix":"10.1515","volume":"13","author":[{"given":"Philipp","family":"D\u00f6rsek","sequence":"first","affiliation":[{"name":"1ETH Z\u00fcrich, R\u00e4mistrasse 101, 8092 Z\u00fcrich, Switzerland"}]},{"given":"Jens M.","family":"Melenk","sequence":"additional","affiliation":[{"name":"2TU Wien, Wiedner Hauptstra\u00dfe 8-10, 1040 Wien, Austria"}]}],"member":"374","container-title":["Computational Methods in Applied Mathematics"],"original-title":[],"link":[{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/13\/3\/article-p291.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/downloadpdf\/journals\/cmam\/13\/3\/article-p291.xml","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,2,28]],"date-time":"2021-02-28T03:03:41Z","timestamp":1614481421000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/cmam-2013-0007\/html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,7,1]]},"references-count":0,"journal-issue":{"issue":"3"},"URL":"https:\/\/doi.org\/10.1515\/cmam-2013-0007","relation":{},"ISSN":["1609-4840","1609-9389"],"issn-type":[{"value":"1609-4840","type":"print"},{"value":"1609-9389","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,7,1]]}}}