{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,5]],"date-time":"2026-04-05T13:18:40Z","timestamp":1775395120214,"version":"3.50.1"},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2000,4,1]],"date-time":"2000-04-01T00:00:00Z","timestamp":954547200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2000,4,1]],"date-time":"2000-04-01T00:00:00Z","timestamp":954547200000},"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":[[2000,4]]},"DOI":"10.1023\/a:1008725519350","type":"journal-article","created":{"date-parts":[[2002,12,22]],"date-time":"2002-12-22T11:37:32Z","timestamp":1040557052000},"page":"29-55","source":"Crossref","is-referenced-by-count":40,"title":["Optimization Techniques for Solving Elliptic Control Problems with Control and State Constraints: Part 1. Boundary Control"],"prefix":"10.1007","volume":"16","author":[{"given":"Helmut","family":"Maurer","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hans D.","family":"Mittelmann","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"258151_CR1","series-title":"Int. Series Numer. Mathematics","doi-asserted-by":"crossref","first-page":"207","DOI":"10.1007\/978-3-0348-8802-8_21","volume-title":"Variational Calculus, Optimal Control and Applications","author":"A. Barclay","year":"1998","unstructured":"A. Barclay, P.E. Gill, and J.B. Rosen, \u201cSQP methods and their applications to numerical optimal control,\u201d in Variational Calculus, Optimal Control and Applications, W.H. Schmidt, K. Heier, L. Bittner, and R. Bulirsch (Eds.), vol. 124, Int. Series Numer. Mathematics, Basel, Birkh\u00e4user, 1998, pp. 207\u2013222."},{"key":"258151_CR2","volume-title":"A comparison of interior point methods and a Moreau-Yosida based active set strategy for constrained optimal control problems","author":"M. Bergounioux","year":"1998","unstructured":"M. Bergounioux, M. Haddou, M. Hinterm\u00fcller, and K. Kunisch, \u201cA comparison of interior point methods and a Moreau-Yosida based active set strategy for constrained optimal control problems,\u201d Preprint, Department of Mathematics, University of Orl\u00e9ans, France, 1998."},{"key":"258151_CR3","doi-asserted-by":"crossref","first-page":"1524","DOI":"10.1137\/S036301299529330X","volume":"35","author":"M. Bergounioux","year":"1997","unstructured":"M. Bergounioux and K. Kunisch, \u201cAugmented Lagrangian techniques for elliptic state constrained optimal control problems,\u201d SIAM J. Control Optim., vol. 35, pp. 1524\u20131543, 1997.","journal-title":"SIAM J. Control Optim."},{"key":"258151_CR4","series-title":"Int. Series Numer. Mathematics","first-page":"3","volume-title":"Control Applications of Optimization","author":"J.T. Betts","year":"1994","unstructured":"J.T. Betts, \u201cIssues in the direct transcription of optimal control problems to sparse nonlinear programs,\u201d in Control Applications of Optimization, R. Bulirsch and D. Kraft (Eds.), vol. 115, Int. Series Numer. Mathematics, Basel, Birkh\u00e4user, 1994, pp. 3\u201317."},{"key":"258151_CR5","doi-asserted-by":"crossref","first-page":"338","DOI":"10.2514\/3.20656","volume":"14","author":"J.T. Betts","year":"1991","unstructured":"J.T. Betts and W.P. Huffmann, \u201cThe application of sparse nonlinear programming to trajectory optimization,\u201d J. of Guidance, Control and Dynamics, vol. 14, pp. 338\u2013348, 1991.","journal-title":"J. of Guidance, Control and Dynamics"},{"key":"258151_CR6","unstructured":"N. Bourbaki, Integration, Ch. 9, Hermann: Paris, 1963."},{"key":"258151_CR7","volume-title":"Optimierungsmethoden und Sensitivit\u00e4tsanalyse f\u00fcr optimale Steuer-prozesse mit Steuer-und Zustandsbeschr\u00e4nkungen","author":"C. B\u00fcskens","year":"1998","unstructured":"C. B\u00fcskens, \u201cOptimierungsmethoden und Sensitivit\u00e4tsanalyse f\u00fcr optimale Steuer-prozesse mit Steuer-und Zustandsbeschr\u00e4nkungen,\u201d Dissertation, Universit\u00e4t M\u00fcnster, Institut f\u00fcr Numerische Mathematik, M\u00fcnster, Germany, 1998."},{"key":"258151_CR8","doi-asserted-by":"crossref","unstructured":"C. B\u00fcskens and H. Maurer, \u201cSPQ-methods for solving optimal control problems with control and state constraints: Adjoint variables, sensitivity analysis and real-time control,\u201d to appear in \u201cSPQ-based direct discretisation methods for practical optimal control problems\u201d (V. Schulz, ed.), J. Comp. Appl. Math., 2000.","DOI":"10.1016\/S0377-0427(00)00305-8"},{"key":"258151_CR9","doi-asserted-by":"crossref","first-page":"993","DOI":"10.1137\/0331044","volume":"31","author":"E. Casas","year":"1993","unstructured":"E. Casas, \u201cBoundary control with pointwise state constraints,\u201d SIAM J. Control Optim., vol. 31, pp. 993\u20131006, 1993.","journal-title":"SIAM J. Control Optim."},{"key":"258151_CR10","first-page":"687","volume":"15","author":"E. Casas","year":"1996","unstructured":"E. Casas, F. Tr\u00f6ltzsch, and A. Unger, \u201cSecond order sufficient optimality conditions for a nonlinear elliptic control problem,\u201d J. for Analysis and its Applications, vol. 15, pp. 687\u2013707, 1996.","journal-title":"J. for Analysis and its Applications"},{"key":"258151_CR11","unstructured":"E. Casas, F. Tr\u00f6ltzsch, and A. Unger, \u201cSecond order sufficient optimality conditions for some state constrained control problems of semilinear elliptic equations,\u201d Fakult\u00e4t f\u00fcr Mathematik, Technische Universit\u00e4t Chemnitz, Preprint 97-19, to appear in SIAM J. Control Optim."},{"key":"258151_CR12","unstructured":"R. Fourer, D.M. Gay, and B.W. Kernighan, AMPL: A Modeling Language for Mathematical Programming, Duxbury Press, Brooks-Cole Publishing Company, 1993."},{"key":"258151_CR13","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1016\/0041-5553(79)90009-0","volume":"19","author":"I.I. Grachev","year":"1979","unstructured":"I.I. Grachev and Yu.G. Evtushenko, \u201cA library of programs for solving optimal control problems,\u201d U.S.S.R. Computational Maths. Math. Physics, vol. 19, pp. 99\u2013119, 1979.","journal-title":"U.S.S.R. Computational Maths. Math. Physics"},{"key":"258151_CR14","first-page":"5","volume":"26","author":"R. Hettich","year":"1997","unstructured":"R. Hettich, A. Kaplan, and R. Tischatschke, \u201cRegularized penalty methods for illposed optimal control problems with elliptic equations. Part I: Distributed control with bounded control set and state constraints,\u201d Control and Cybernetics, vol. 26, pp. 5\u201327, 1997a.","journal-title":"Control and Cybernetics"},{"key":"258151_CR15","first-page":"29","volume":"26","author":"R. Hettich","year":"1997","unstructured":"R. Hettich, A. Kaplan, and R. Tischatschke, \u201cRegularized penalty methods for illposed optimal control problems with elliptic equations. Part II: Distributed and boundary control with unbounded control sets and state constraints,\u201d Control and Cybernetics, vol. 26, pp. 29\u201343, 1997b.","journal-title":"Control and Cybernetics"},{"key":"258151_CR16","doi-asserted-by":"crossref","first-page":"96","DOI":"10.1137\/0806007","volume":"6","author":"K. Ito","year":"1996","unstructured":"K. Ito and K. Kunisch, \u201cAugmented Lagrangian-SQP methods for nonlinear optimal control problems of tracking type,\u201d SIAM J. Optim., vol. 6, pp. 96\u2013125, 1996.","journal-title":"SIAM J. Optim."},{"key":"258151_CR17","series-title":"NATO ASI Series F: Computer and Systems Science","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1007\/978-3-642-82450-0_9","volume-title":"Computational Mathematical Programming","author":"D. Kraft","year":"1985","unstructured":"D. Kraft, \u201cOn converting optimal control problems into nonlinear programming problems,\u201d in Computational Mathematical Programming, K. Schittkowski (Ed.), NATO ASI Series F: Computer and Systems Science, vol. 15, Springer Verlag: Berlin und Heidelberg, 1985, pp. 261\u2013280."},{"key":"258151_CR18","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1090\/conm\/209\/02764","volume":"209","author":"K. Kunisch","year":"1997","unstructured":"K. Kunisch and S. Volkwein, \u201cAugmented Lagrangian-SQP techniques and their approximations,\u201d Contemporary Mathematics, vol. 209, pp. 147\u2013159, 1997.","journal-title":"Contemporary Mathematics"},{"key":"258151_CR19","series-title":"Grundlehren der mathematischen Wissenschaften","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-65024-6","volume-title":"Optimal control of systems governed by partial differential equations","author":"J.L. Lions","year":"1971","unstructured":"J.L. Lions, \u201cOptimal control of systems governed by partial differential equations,\u201d Grundlehren der mathematischen Wissenschaften, vol. 170, Springer-Verlag: Berlin, New York, 1971."},{"key":"258151_CR20","series-title":"Grundlehren der mathematischen Wissenschaften","volume-title":"Non-Homogeneous Boundary Value Problems and Applications, Volume I","author":"J.L. Lions","year":"1972","unstructured":"J.L. Lions and E. Magenes, \u201cNon-Homogeneous Boundary Value Problems and Applications, Volume I,\u201d Grundlehren der mathematischen Wissenschaften, vol. 181, Springer-Verlag: Berlin, New York, 1972."},{"key":"258151_CR21","unstructured":"H.D. Mittelmann and P. Spellucci, \u201cDecision Tree for Optimization Software,\u201d World Wide Web, http:\/\/plato.la.asu.edu\/guide.html (1998)."},{"key":"258151_CR22","volume-title":"A Unified Computational Approach to Optimal Control Problems","author":"K.L. Teo","year":"1981","unstructured":"K.L. Teo, C.J. Goh, and K.H. Wong, A Unified Computational Approach to Optimal Control Problems, Longman Scientific and Technical: New York, 1981."},{"key":"258151_CR23","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1023\/A:1008677427361","volume":"13","author":"R.S. Vanderbei","year":"1999","unstructured":"R.S. Vanderbei and D.F. Shanno, \u201cAn interior point algorithm for nonconvex nonlinear programming,\u201d Comput. Optim. Appl., vol. 13, pp. 231\u2013252, 1999.","journal-title":"Comput. Optim. Appl."},{"key":"258151_CR24","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1007\/BF01442543","volume":"5","author":"J. Zowe","year":"1979","unstructured":"J. Zowe and S. Kurcyusz, \u201cRegularity and stability for the mathematical programming problem in Banach spaces,\u201d Appl. Math. Optimization, vol. 5, pp. 49\u201362, 1979.","journal-title":"Appl. Math. Optimization"}],"container-title":["Computational Optimization and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1008725519350.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1008725519350\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1008725519350.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,13]],"date-time":"2025-07-13T03:07:35Z","timestamp":1752376055000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1008725519350"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000,4]]},"references-count":24,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2000,4]]}},"alternative-id":["258151"],"URL":"https:\/\/doi.org\/10.1023\/a:1008725519350","relation":{},"ISSN":["0926-6003","1573-2894"],"issn-type":[{"value":"0926-6003","type":"print"},{"value":"1573-2894","type":"electronic"}],"subject":[],"published":{"date-parts":[[2000,4]]}}}