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Theoretical findings consist in the vanishing limit of a subsequence of estimators and the convergence of the relevant subsequence of adaptively-generated solutions to a solution to the continuous optimality system.<\/jats:p>","DOI":"10.1515\/jnma-2024-0060","type":"journal-article","created":{"date-parts":[[2025,2,27]],"date-time":"2025-02-27T13:24:51Z","timestamp":1740662691000},"page":"337-373","source":"Crossref","is-referenced-by-count":5,"title":["Adaptive computation of elliptic eigenvalue topology optimization with a phase-field approach"],"prefix":"10.1515","volume":"33","author":[{"given":"Jing","family":"Li","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences , East China Normal University , Shanghai 200241 , China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0006-3216-1310","authenticated-orcid":false,"given":"Yifeng","family":"Xu","sequence":"additional","affiliation":[{"name":"12544 Department of Mathematics & Scientific Computing Key Laboratory of Shanghai Universities, Shanghai Normal University , Shanghai 200234 , China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Shengfeng","family":"Zhu","sequence":"additional","affiliation":[{"name":"Key Laboratory of MEA (Ministry of Education) & Shanghai Key Laboratory of PMMP, School of Mathematical Sciences , East China Normal University , Shanghai 200241 , China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"374","published-online":{"date-parts":[[2025,2,27]]},"reference":[{"key":"2026022309021020027_j_jnma-2024-0060_ref_001","doi-asserted-by":"crossref","unstructured":"M. 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