{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T13:08:58Z","timestamp":1772284138765,"version":"3.50.1"},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2003,12,1]],"date-time":"2003-12-01T00:00:00Z","timestamp":1070236800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2003,12,1]],"date-time":"2003-12-01T00:00:00Z","timestamp":1070236800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computational Optimization and Applications"],"published-print":{"date-parts":[[2003,12]]},"DOI":"10.1023\/a:1026095405906","type":"journal-article","created":{"date-parts":[[2003,10,24]],"date-time":"2003-10-24T19:17:50Z","timestamp":1067023070000},"page":"231-251","source":"Crossref","is-referenced-by-count":50,"title":["Shape Optimization and Fictitious Domain Approach for Solving Free Boundary Problems of Bernoulli Type"],"prefix":"10.1007","volume":"26","author":[{"given":"J. T.","family":"Haslinger","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"K.","family":"Kunisch","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"G.","family":"Peichl","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"5144582_CR1","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1137\/0512017","volume":"12","author":"A. Acker","year":"1981","unstructured":"A. Acker, \u201cAn extremal problem involving distributed resistance,\u201d SIAM J. Math. Anal., vol. 12, pp. 169-172, 1981.","journal-title":"SIAM J. Math. Anal."},{"key":"5144582_CR2","doi-asserted-by":"crossref","first-page":"130","DOI":"10.1007\/BF01447854","volume":"2","author":"D. Begis","year":"1975","unstructured":"D. Begis and R. Glowinski, \u201cApplication de la m\u00e9thode des \u00e9l\u00e9ments finis \u00e0 l'approximation d'un probl\u00e8me de domaine optimale.M\u00e9thodes de r\u00e9solution des probl\u00e9mes approach\u00e9s,\u201d Applied Mathematics & Optimization, vol. 2, pp. 130-169, 1975.","journal-title":"Applied Mathematics & Optimization"},{"key":"5144582_CR3","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-3172-1","volume-title":"Mixed and Hybrid Finite Element Methods","author":"F. Brezzi","year":"1991","unstructured":"F. Brezzi and M. Fortin, Mixed and Hybrid Finite Element Methods, Springer-Verlag: New York, 1991."},{"key":"5144582_CR4","doi-asserted-by":"crossref","first-page":"189","DOI":"10.1016\/0022-247X(75)90091-8","volume":"52","author":"D. Chenais","year":"1975","unstructured":"D. Chenais, \u201cOn the existence of a solution in a domain identification problem,\u201d J. Math. Anal. Appl., vol. 52, pp. 189-214, 1975.","journal-title":"J. Math. Anal. Appl."},{"key":"5144582_CR5","unstructured":"M.C. Delfour and J.P. Zolesio, Shapes and Geometries: Analysis, Differential Calculus and Optimization, SIAM series in Advances in Design and Control, Philadelphia, 2001."},{"key":"5144582_CR6","volume-title":"Convex Analysis and Variational Problems","author":"I. Ekeland","year":"1976","unstructured":"I. Ekeland and R. Temam, Convex Analysis and Variational Problems, North-Holland: Amsterdam, 1976."},{"key":"5144582_CR7","doi-asserted-by":"crossref","unstructured":"A. Fasano, \u201cSome free boundary problems with industrial applications,\u201d in Shape Optimization and Free Boundaries, M.C. Delfour and G. Sabidussi (Eds.), 1992, pp. 113-142.","DOI":"10.1007\/978-94-011-2710-3_3"},{"key":"5144582_CR8","first-page":"165","volume":"486","author":"M. Flucher","year":"1997","unstructured":"M. Flucher and M. Rumpf, \u201cBernoulli's free boundary problem, qualitative theory and numerical approximation,\u201d J. Reine Angew., vol. 486, pp. 165-204, 1997.","journal-title":"J. Reine Angew."},{"key":"5144582_CR9","first-page":"55","volume":"118","author":"A. Friedman","year":"1984","unstructured":"A. Friedman, \u201cFree boundary problem in fluid dynamics, Ast\u00e9risque, Soc. Math. France, vol. 118, pp. 55-67, 1984.","journal-title":"Ast\u00e9risque, Soc. Math. France"},{"key":"5144582_CR10","doi-asserted-by":"crossref","first-page":"487","DOI":"10.1007\/BF03167240","volume":"12","author":"V. Girault","year":"1995","unstructured":"V. Girault and R. Glowinski, \u201cError analysis of a fictitious domain method applied to a Dirichlet problem,\u201d Japan J. Indust. Appl. Math., vol. 12, pp. 487-514, 1995.","journal-title":"Japan J. Indust. Appl. Math."},{"key":"5144582_CR11","doi-asserted-by":"crossref","first-page":"283","DOI":"10.1016\/0045-7825(94)90135-X","volume":"111","author":"R. Glowinski","year":"1994","unstructured":"R. Glowinski, T. Pan, and J. Periaux, \u201cA fictitious domain method for Dirichlet problem and applications,\u201d North-Holland J. Appl. Mech. and Eng., vol. 111, pp. 283-303, 1994.","journal-title":"North-Holland J. Appl. Mech. and Eng."},{"key":"5144582_CR12","first-page":"189","volume":"2","author":"J. Haslinger","year":"1993","unstructured":"J. Haslinger, K.H. Hoffmann, and R. M\u00e4kinen, \u201cOptimal control\/dual approach for the numerical solution of a dam problem,\u201d Advances in Math. Sciences and Appl., vol. 2, pp. 189-213, 1993.","journal-title":"Advances in Math. Sciences and Appl."},{"key":"5144582_CR13","unstructured":"J. Haslinger and P. Neittaanm\u00e4ki, Finite Element Approximation for Optimal Shape, Material and Topology Design. 2nd edition, J. Wiley & Sons: Chichester, 1996."},{"key":"5144582_CR14","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1145\/321250.321259","volume":"12","author":"R.W. Hockney","year":"1965","unstructured":"R.W. Hockney, A fast direct solution of Poisson's equation using Fourier Analysis. J. Assoc. Comput. Mach., vol. 12, pp. 95-113, 1965.","journal-title":"J. Assoc. Comput. Mach."},{"issue":"1","key":"5144582_CR15","first-page":"23","volume":"30","author":"L. Holzleitner","year":"2001","unstructured":"L. Holzleitner, \u201cHausdorff convergence of domains and their boundaries for shape optimal design,\u201d Control and Cybernetics, vol. 30, no. 1, pp. 23-44, 2001.","journal-title":"Control and Cybernetics"},{"key":"5144582_CR16","first-page":"245","volume":"21","author":"K. Ito","year":"2002","unstructured":"K. Ito, K. Kunisch, and G. Peichl, \u201cOn the regularization and approximation of saddle point problems without inf-sup condition,\u201d Computational and Applied Mathematics, vol. 21, pp. 245-274, 2002.","journal-title":"Computational and Applied Mathematics"},{"key":"5144582_CR17","doi-asserted-by":"crossref","unstructured":"I. K\u0159iv\u00fd and J. Tvrd\u00edk, \u201cThe controlled random search algorithm in optimizing regression models,\u201d Comput. Statist. and Data Anal., no. 20, pp. 229-234, 1995.","DOI":"10.1016\/0167-9473(95)90127-2"},{"key":"5144582_CR18","volume-title":"Les M\u00e9thodes Directes en Th\u00e9orie des Equations Elliptiques","author":"J. Ne\u010dcas","year":"1967","unstructured":"J. Ne\u010dcas, Les M\u00e9thodes Directes en Th\u00e9orie des Equations Elliptiques, Masson: Paris, 1967."},{"key":"5144582_CR19","doi-asserted-by":"crossref","first-page":"308","DOI":"10.1093\/comjnl\/7.4.308","volume":"7","author":"J.A. Nelder","year":"1964","unstructured":"J.A. Nelder and R. Mead, \u201cA simplex method for function minimization,\u201d Computer J., no. 7, pp. 308-313, 1964.","journal-title":"Computer J."},{"key":"5144582_CR20","volume-title":"Springer Series in Computational Physics","author":"O. Pironneau","year":"1984","unstructured":"O. Pironneau, Optimal Shape Design for Elliptic Systems. Springer Series in Computational Physics, Springer-Verlag: New York, 1984."},{"key":"5144582_CR21","doi-asserted-by":"crossref","first-page":"367","DOI":"10.1093\/comjnl\/20.4.367","volume":"20","author":"W.L. Price","year":"1976","unstructured":"W.L. Price, \u201cA controlled random search procedure for global optimisation,\u201d Computer J., no. 20, pp. 367-370, 1976.","journal-title":"Computer J."},{"key":"5144582_CR22","doi-asserted-by":"crossref","first-page":"206","DOI":"10.1137\/0711042","volume":"11","author":"R.A. Sweet","year":"1974","unstructured":"R.A. Sweet, \u201cA generalized cyclic reduction algorithm,\u201d SIAM J. Numer. Anal., vol. 11, pp. 206-220, 1974.","journal-title":"SIAM J. Numer. Anal."},{"key":"5144582_CR23","doi-asserted-by":"crossref","first-page":"706","DOI":"10.1137\/0714048","volume":"14","author":"R.A. Sweet","year":"1977","unstructured":"R.A. Sweet, \u201cA cyclic reduction algorithm for solving block tridiagonal systems of arbitrary dimension,\u201d SIAM J. Numer. Anal., vol. 14, pp. 706-720, 1977.","journal-title":"SIAM J. Numer. Anal."},{"key":"5144582_CR24","doi-asserted-by":"crossref","first-page":"805","DOI":"10.1051\/m2an\/1997310708051","volume":"31","author":"T. Tiihonen","year":"1997","unstructured":"T. Tiihonen, \u201cShape optimization and trial methods for free boundary problems,\u201dM2AN, vol. 31, pp. 805-825, 1997.","journal-title":"M2AN"}],"container-title":["Computational Optimization and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1026095405906.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1026095405906\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1026095405906.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,13]],"date-time":"2025-07-13T03:19:48Z","timestamp":1752376788000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1026095405906"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,12]]},"references-count":24,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2003,12]]}},"alternative-id":["5144582"],"URL":"https:\/\/doi.org\/10.1023\/a:1026095405906","relation":{},"ISSN":["0926-6003","1573-2894"],"issn-type":[{"value":"0926-6003","type":"print"},{"value":"1573-2894","type":"electronic"}],"subject":[],"published":{"date-parts":[[2003,12]]}}}