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Its cost is moderate since the shape is captured on a fixed Eulerian mesh.<\/jats:p>","DOI":"10.1016\/s1631-073x(02)02412-3","type":"journal-article","created":{"date-parts":[[2002,10,14]],"date-time":"2002-10-14T10:29:16Z","timestamp":1034591356000},"page":"1125-1130","source":"Crossref","is-referenced-by-count":490,"title":["A level-set method for shape optimization"],"prefix":"10.5802","volume":"334","author":[{"given":"Gr\u00e9goire","family":"Allaire","sequence":"first","affiliation":[]},{"given":"Fran\u00e7ois","family":"Jouve","sequence":"additional","affiliation":[]},{"given":"Anca-Maria","family":"Toader","sequence":"additional","affiliation":[]}],"member":"3842","published-online":{"date-parts":[[2002,1,1]]},"reference":[{"key":"key2025102009563439475_1","author":"Allaire, G.","year":"2001","unstructured":"[1] Allaire, G. 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Engrg."},{"key":"key2025102009563439475_6","unstructured":"[6] A. Chambolle, A density result in two-dimensional linearized elasticity and applications, Preprint CEREMADE 121, Universit\u00e9 Paris-Dauphine, 2001"},{"key":"key2025102009563439475_7","doi-asserted-by":"crossref","first-page":"189","DOI":"10.1016\/0022-247X(75)90091-8","article-title":"On the existence of a solution in a domain identification problem","volume":"52","author":"Chenais, D.","year":"1975","unstructured":"[7] Chenais, D. On the existence of a solution in a domain identification problem, J. Math. Anal. Appl., Volume 52 (1975), pp. 189-289","journal-title":"J. Math. Anal. Appl."},{"key":"key2025102009563439475_8","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-1188-4","author":"Cherkaev, A.","year":"2000","unstructured":"[8] Cherkaev, A. 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