{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,4,1]],"date-time":"2023-04-01T00:10:35Z","timestamp":1680307835998},"reference-count":20,"publisher":"Walter de Gruyter GmbH","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2016,10,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>The article deals with the analysis of a nonconforming finite element method for the discretization of optimization problems governed by variational inequalities. The state and adjoint variables are\ndiscretized using Crouzeix\u2013Raviart nonconforming finite elements, and the control is discretized\nusing a variational discretization approach. Error estimates have been established for the state and control variables. The results of numerical experiments are presented.<\/jats:p>","DOI":"10.1515\/cmam-2016-0024","type":"journal-article","created":{"date-parts":[[2016,9,14]],"date-time":"2016-09-14T16:36:20Z","timestamp":1473870980000},"page":"653-666","source":"Crossref","is-referenced-by-count":1,"title":["A Nonconforming Finite Element Approximation for Optimal Control of an Obstacle Problem"],"prefix":"10.1515","volume":"16","author":[{"given":"Asha K.","family":"Dond","sequence":"first","affiliation":[{"name":"Department of Mathematics, Indian Institute of Technology Bombay, Mumbai 400076, India"}]},{"given":"Thirupathi","family":"Gudi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Indian Institute of Science, Bangalore 560012, India"}]},{"given":"Neela","family":"Nataraj","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Indian Institute of Technology Bombay, Mumbai 400076, India"}]}],"member":"374","published-online":{"date-parts":[[2016,9,14]]},"reference":[{"key":"2023033116455918506_j_cmam-2016-0024_ref_001_w2aab3b7e2567b1b6b1ab2b1b1Aa","unstructured":"Braess D.,\nFinite Elements, Theory, Fast Solvers, and Applications in Solid Mechanics,\nCambridge University Press, Cambridge, 1997."},{"key":"2023033116455918506_j_cmam-2016-0024_ref_002_w2aab3b7e2567b1b6b1ab2b1b2Aa","doi-asserted-by":"crossref","unstructured":"Brenner S. C. and Scott L. R.,\nThe Mathematical Theory of Finite Element Methods,\nSpringer, New York, 1994.","DOI":"10.1007\/978-1-4757-4338-8"},{"key":"2023033116455918506_j_cmam-2016-0024_ref_003_w2aab3b7e2567b1b6b1ab2b1b3Aa","doi-asserted-by":"crossref","unstructured":"Brezzi F., Hager W. W. and Raviart P. A.,\nError estimates for the finite element solution of variational inequalities. Part I: Primal theory,\nNumer. Math. 28 (1977), 431\u2013443.","DOI":"10.1007\/BF01404345"},{"key":"2023033116455918506_j_cmam-2016-0024_ref_004_w2aab3b7e2567b1b6b1ab2b1b4Aa","doi-asserted-by":"crossref","unstructured":"Carstensen C. and K\u00f6hler K.,\nNon-conforming FEM for the obstacle problem,\nIMA J Numer Anal. 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