- Binder , A. 1992 . “ About Two Problems Arising in Continuous Casting of Steel. ” . In PhD thesis Universitiit Linz1991. VWGO, .
- Binder , A. , Engl , H. W. and Vessella , S. 1990 . Some inverse problems for a nonlinear parabolic equation connected with continuous casting of steel: stability estimates and regularization. . Num.Funct.Anal.Opt , 11 : 643 – 671 .
- Blackwell , J. H. and Ockendon , J. R. 1982 . Exact solution of a stefan problem relevant to continuous casting. . Int. J. Heat Mass Transfer , 25 : 1059 – 1060 .
- Dewynne , J. N. , Howison , S. D. and Ockendon , J. R. 1990 . The numerical solution of a continuous casting problem , Edited by: Hoffmann , K. -N. and Sprekels , J. 36 – 45 . Birkhauser : Free Boundary Value Problems, ISNM 95 .
- Dunford , N. and Schwartz , J. T. 1963 . Linear Operators 1,II. Wiley New York
- Engl , H. W. and Kunisch. , K. 1989 . A. Neubauer: Convergence rates for Tikhonov regularizaiion of nonlinear ill-posed problems. . Inverse Problems , 5 : 523 – 540 .
- Engl , H. W. and Langthaler , Th. 1985 . Numerical solution of an inverse problem connected with continuous casting of steel. . ZOR , 29 : 185 – 199 .
- Engl H. W. Langthaler Th. Control of the solidification front by secondary cooling in continuous casting of steel. 1988 In H.W. Engl, Hj. Wacker,and W. Zulehner, editors, Case Studies in Industrial Mathematics, pages 51-77. TeubnerIKluwer, StuttgartIDordrecht
- Engl , H. E. , Langthaler , T. and Manselli , P. 1987 . On an inverse problem for a nonlinear heat equation connected with continuous casting of steel , Edited by: Hoffmann , K. H. and Krabs , W. 67 – 89 . Birkhauser : Optimal Control of Partial Differential Equations 11, ISNM 78. .
- Grisvard , P. 1985 . Elliptic Problems in Nonsmooth Domains. Pitrnan, Boston
- Kobayashi , H. , Masaoka , T. and Suzuki , M. 1990 . Control of centerlinct segregation in continuously cast slabs, in: . Proceedings of The Sixth International Iron and Steel Congress, 1990, Nagoya, ISIJ , : 285 – 292 .
- Ladyienskaja , O. A. , A.Solonikov , V. A. and Urallceva , N. E. 1968 . Linear and Quasilinear Equations of Parabolic Type. , Providence, Rhode Island : American Mathematical Society .
- Laitinen , E. and Neittaanmaki , P. 1988 . On numerical simulation of the continuous casting process. . J. Eng. Math. , 22 : 335 – 354 .
- M. H. 1961 . Properties of solutions of parabolic equations and inequalities. . Canad. J. Math. , 13 : 331 – 345 .
- Protter , M. H. and Weinberger , H. F. 1967 . Maximum Principles in Differential Equations. Prentice-Hall, New Jersey
- Rodrigues , J. F. and Yi , F. 1990 . On a two-phase continuous casting stefan problem with nonlinear flux. . EJAM , 1 : 259 – 278 .
- Schwah , K. L. , Holl , H. , Engl , H. W. and Langthaler , Th. 1989 . “ Inverse solidification analvsis - a valuable tool for computer aided process enaineering, in: ” . In proceedings ofthe International Symposium on Metallurgical Processes for the Year 2000 and Beyond, TMS Annual Meeting, Las Vegas, Nevada, February 27 - March 3, 1989, , Edited by: Sohn , h. Y. and Geskin , E. S. 139 – 154 . TMS Publications .
- Seidman , T. I. and Vogal , C. R. 1989 . Well-posedness and convergence of some regularization methods for nonlinear ill-posed problems. . Inverse Problems , 5 : 227 – 238 .
On an inverse problem arising in continuous casting of steel billets
Reprints and Corporate Permissions
Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?
To request a reprint or corporate permissions for this article, please click on the relevant link below:
Academic Permissions
Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?
Obtain permissions instantly via Rightslink by clicking on the button below:
If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.
Related research
People also read lists articles that other readers of this article have read.
Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.
Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.