{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:31:48Z","timestamp":1777447908058,"version":"3.51.4"},"reference-count":40,"publisher":"SAGE Publications","issue":"1-2","license":[{"start":{"date-parts":[[2018,8,3]],"date-time":"2018-08-03T00:00:00Z","timestamp":1533254400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Asymptotic Analysis"],"published-print":{"date-parts":[[2018,8,3]]},"abstract":"<jats:p>In this paper, we deal with the topological asymptotic analysis of an optimal control problem modeled by a coupled system. The control is a geometrical object and the cost is given by the misfit between a target function and the state, solution of the Helmholtz\u2013Laplace coupled system. Higher-order topological derivatives are used to devise a non-iterative algorithm to compute the optimal control for the problem of interest. Numerical examples are presented in order to demonstrate the effectiveness of the proposed algorithm.<\/jats:p>","DOI":"10.3233\/asy-181465","type":"journal-article","created":{"date-parts":[[2018,9,18]],"date-time":"2018-09-18T15:47:39Z","timestamp":1537285659000},"page":"1-26","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":2,"title":["Topological asymptotic analysis of an optimal control problem modeled by a coupled system"],"prefix":"10.1177","volume":"109","author":[{"given":"L.","family":"Fernandez","sequence":"first","affiliation":[{"name":"Laborat\u00f3rio Nacional de Computa\u00e7\u00e3o Cient\u00edfica LNCC\/MCT, Coordena\u00e7\u00e3o de Matem\u00e1tica Aplicada e Computacional, Av. Get\u00falio Vargas 333, 25651-075 Petr\u00f3polis\u00a0\u2013 RJ, Brasil. 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