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Numerical experiments investigate the involved adaptivity parameters.<\/jats:p>","DOI":"10.1007\/s00211-025-01455-w","type":"journal-article","created":{"date-parts":[[2025,3,12]],"date-time":"2025-03-12T07:22:59Z","timestamp":1741764179000},"page":"409-445","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Cost-optimal adaptive FEM with linearization and algebraic solver for semilinear elliptic PDEs"],"prefix":"10.1007","volume":"157","author":[{"given":"Maximilian","family":"Brunner","sequence":"first","affiliation":[]},{"given":"Dirk","family":"Praetorius","sequence":"additional","affiliation":[]},{"given":"Julian","family":"Streitberger","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2025,3,12]]},"reference":[{"issue":"1","key":"1455_CR1","doi-asserted-by":"publisher","first-page":"75","DOI":"10.1007\/BF01389757","volume":"44","author":"I Babu\u0161ka","year":"1984","unstructured":"Babu\u0161ka, I., Vogelius, M.: Feedback and adaptive finite element solution of one-dimensional boundary value problems. 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