{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,11]],"date-time":"2026-06-11T08:42:34Z","timestamp":1781167354317,"version":"3.54.1"},"reference-count":31,"publisher":"Informa UK Limited","issue":"10","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["International Journal of Computer Mathematics"],"published-print":{"date-parts":[[2008,10]]},"DOI":"10.1080\/00207160802033350","type":"journal-article","created":{"date-parts":[[2008,8,15]],"date-time":"2008-08-15T00:05:38Z","timestamp":1218758738000},"page":"1491-1514","source":"Crossref","is-referenced-by-count":29,"title":["Level set method with topological derivatives in shape optimization"],"prefix":"10.1080","volume":"85","author":[{"given":"Piotr","family":"Fulmanski","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Antoine","family":"Laurain","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jean-Fran\u00e7ois","family":"Scheid","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jan","family":"Soko\u0142owski","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"301","reference":[{"key":"CIT0001","first-page":"59","volume":"34","author":"Allaire G.","year":"2005","journal-title":"Control Cybernet"},{"key":"CIT0002","volume-title":"Contrle Par Rapport au Domaine Dans Les E.D.P","author":"Bucur D.","year":"1995"},{"key":"CIT0003","first-page":"807","volume":"4","author":"Bucur D.","year":"2000","journal-title":"Ann. Scuola Norm. Sup. Pisa Cl. Sci."},{"key":"CIT0004","doi-asserted-by":"publisher","DOI":"10.1137\/S0036141002389579"},{"key":"CIT0005","volume-title":"Shapes and Geometries, Advances in Design and Control","author":"Delfour M. C.","year":"2001"},{"key":"CIT0006","volume-title":"Structure de la semi-d'eriv'ee eul'erienne dans le cas de domains fissur'es et quelques applications","author":"Fremiot G.","year":"2000"},{"key":"CIT0007","doi-asserted-by":"publisher","DOI":"10.2478\/v10006-007-0034-z"},{"key":"CIT0008","doi-asserted-by":"crossref","DOI":"10.1007\/3-540-37689-5","volume-title":"Variation et Optimisation de Formes: une Analyse Gomtrique","author":"Henrot A.","year":"2005"},{"key":"CIT0009","doi-asserted-by":"publisher","DOI":"10.1023\/A:1020528902875"},{"key":"CIT0010","first-page":"163","volume":"10","author":"Jackowska A. L.","year":"2003","journal-title":"Comput. Assist. Mech. Eng. Sci."},{"key":"CIT0011","volume-title":"Singularly perturbed domains in shape optimization","author":"Laurain A.","year":"2006"},{"key":"CIT0012","volume-title":"Computationnal Methods for Control Applications","author":"Masmoudi M.","year":"2002"},{"key":"CIT0013","doi-asserted-by":"crossref","unstructured":"Mazya, V., Nazarov, S. A. and Plamenevskij, B. 2000.Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains, Vol. 1 and 2, 435Basel: Birkhauser Verlag.","DOI":"10.1007\/978-3-0348-8434-1"},{"key":"CIT0014","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1090\/trans2\/193\/05","volume":"198","author":"Nazarov S. A.","year":"1999","journal-title":"Amer. Math. Soc. Trans."},{"key":"CIT0015","unstructured":"Nazarov, S. A., Slutskij, A. S. and Soko\u0142owski, J. 2005.Topological derivative of the energy functional due to formation of a thin ligament on a spatial body, Vol. 12, 39\u201372. Folia Mathematicae, Acta Universitatis Lodziensis."},{"key":"CIT0016","doi-asserted-by":"publisher","DOI":"10.1016\/j.crme.2003.07.003"},{"key":"CIT0017","doi-asserted-by":"publisher","DOI":"10.4064\/ba52-3-4"},{"key":"CIT0018","doi-asserted-by":"publisher","DOI":"10.1016\/S0021-7824(03)00004-7"},{"key":"CIT0019","doi-asserted-by":"publisher","DOI":"10.1023\/B:SIMJ.0000021290.61807.4b"},{"key":"CIT0020","volume-title":"Level Set Methods and Dynamic Implicit Surfaces","author":"Osher S.","year":"2004"},{"key":"CIT0021","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9991(88)90002-2"},{"key":"CIT0022","doi-asserted-by":"publisher","DOI":"10.1006\/jcph.1999.6345"},{"key":"CIT0023","volume-title":"Level Set Methods","author":"Sethian J.","year":"1996"},{"key":"CIT0024","doi-asserted-by":"publisher","DOI":"10.1137\/S0363012997323230"},{"key":"CIT0025","first-page":"333","volume":"29","author":"Soko\u0142owski J.","year":"2001","journal-title":"Mech. Struct. Machines"},{"key":"CIT0026","doi-asserted-by":"publisher","DOI":"10.1137\/S0363012901384430"},{"key":"CIT0027","doi-asserted-by":"publisher","DOI":"10.1007\/s00211-005-0635-0"},{"key":"CIT0028","doi-asserted-by":"crossref","first-page":"309","DOI":"10.1201\/9781420011159.ch16","volume-title":"Free and Moving Boundaries: Analysis, Simulation and Control","volume":"252","author":"Soko\u0142owski J.","year":"2007"},{"key":"CIT0029","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-58106-9","volume-title":"Introduction to Shape Optimization","author":"Soko\u0142owski J.","year":"1992"},{"key":"CIT0030","first-page":"537","volume":"72","author":"Sverak V.","year":"1993","journal-title":"J. Math. Pures Appl."},{"key":"CIT0031","volume-title":"Theory of Bessel Functions","author":"Watson G. N.","year":"1944"}],"container-title":["International Journal of Computer Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.tandfonline.com\/doi\/pdf\/10.1080\/00207160802033350","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,13]],"date-time":"2019-05-13T10:50:35Z","timestamp":1557744635000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.tandfonline.com\/doi\/abs\/10.1080\/00207160802033350"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,10]]},"references-count":31,"journal-issue":{"issue":"10","published-print":{"date-parts":[[2008,10]]}},"alternative-id":["10.1080\/00207160802033350"],"URL":"https:\/\/doi.org\/10.1080\/00207160802033350","relation":{},"ISSN":["0020-7160","1029-0265"],"issn-type":[{"value":"0020-7160","type":"print"},{"value":"1029-0265","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,10]]}}}