{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,14]],"date-time":"2025-05-14T04:47:47Z","timestamp":1747198067807,"version":"3.40.5"},"reference-count":31,"publisher":"Walter de Gruyter GmbH","issue":"2","license":[{"start":{"date-parts":[[2024,6,26]],"date-time":"2024-06-26T00:00:00Z","timestamp":1719360000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"DOI":"10.13039\/501100013699","name":"Bundesministerium f\u00fcr Bildung, Wissenschaft und Forschung","doi-asserted-by":"publisher","award":["SPA 01-080"],"award-info":[{"award-number":["SPA 01-080"]}],"id":[{"id":"10.13039\/501100013699","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2025,4,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>In this paper, optimal convergence for an adaptive finite element algorithm for elastoplasticity is considered. To this end, the proposed adaptive algorithm is established within the abstract framework of the axioms of adaptivity [C. Carstensen, M. Feischl, M. Page and D. Praetorius,\nAxioms of adaptivity,\nComput. Math. Appl. 67 2014, 6, 1195\u20131253], which provides a specific proceeding to prove the optimal convergence of the scheme. The proceeding is based on verifying four axioms, which ensure the optimal convergence. The verification is done by using results from [C. Carstensen, A. Schr\u00f6der and S. Wiedemann,\nAn optimal adaptive finite element method for elastoplasticity,\nNumer. Math. 132 2016, 1, 131\u2013154], which presents an alternative approach to optimality without explicitly relying on the axioms<\/jats:p>","DOI":"10.1515\/cmam-2024-0052","type":"journal-article","created":{"date-parts":[[2024,6,25]],"date-time":"2024-06-25T17:32:38Z","timestamp":1719336758000},"page":"511-524","source":"Crossref","is-referenced-by-count":0,"title":["On an Optimal AFEM for Elastoplasticity"],"prefix":"10.1515","volume":"25","author":[{"ORCID":"https:\/\/orcid.org\/0009-0002-6973-7038","authenticated-orcid":false,"given":"Miriam","family":"Sch\u00f6nauer","sequence":"first","affiliation":[{"name":"Department of Mathematics , 27257 Paris Lodron University of Salzburg , Salzburg , Austria"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3691-0906","authenticated-orcid":false,"given":"Andreas","family":"Schr\u00f6der","sequence":"additional","affiliation":[{"name":"Department of Mathematics , 27257 Paris Lodron University of Salzburg , Salzburg , Austria"}]}],"member":"374","published-online":{"date-parts":[[2024,6,26]]},"reference":[{"key":"2025032910202867783_j_cmam-2024-0052_ref_001","doi-asserted-by":"crossref","unstructured":"I.  Babu\u0161ka and M.  Vogelius,\nFeedback and adaptive finite element solution of one-dimensional boundary value problems,\nNumer. Math. 44 (1984), no. 1, 75\u2013102.","DOI":"10.1007\/BF01389757"},{"key":"2025032910202867783_j_cmam-2024-0052_ref_002","doi-asserted-by":"crossref","unstructured":"L.  Belenki, L.  Diening and C.  Kreuzer,\nOptimality of an adaptive finite element method for the p-Laplacian equation,\nIMA J. Numer. Anal. 32 (2012), no. 2, 484\u2013510.","DOI":"10.1093\/imanum\/drr016"},{"key":"2025032910202867783_j_cmam-2024-0052_ref_003","doi-asserted-by":"crossref","unstructured":"P.  Binev, W.  Dahmen and R.  DeVore,\nAdaptive finite element methods with convergence rates,\nNumer. Math. 97 (2004), no. 2, 219\u2013268.","DOI":"10.1007\/s00211-003-0492-7"},{"key":"2025032910202867783_j_cmam-2024-0052_ref_004","doi-asserted-by":"crossref","unstructured":"C.  Carstensen and J.  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