Details

Title

Identification of the heat transfer coefficient in phase change problems

Journal title

Archives of Thermodynamics

Yearbook

2010

Numer

No 1 March

Publication authors

Divisions of PAS

Nauki Techniczne

Publisher

The Committee on Thermodynamics and Combustion of the Polish Academy of Sciences

Date

2010

Identifier

eISSN 2083-6023 ; ISSN 1231-0956

References

Ang D. (1998), Regularization of an inverse two-phase Stefan problem, Nonlinear Anal, 34, 719. ; Grzymkowski R. (2006), Numerical method for multi-phase inverse Stefan design problems, Arch. Metall. Mater, 51, 161. ; Grzymkowski R. (2006), One-phase inverse Stefan problems solved by Adomian decomposition method, Comput. Math. Appl, 51, 33. ; Liu J. (1997), A comparative study of domain embedding methods for regularized solutions of inverse Stefan problems, Int. J. Numer. Methods Engrg, 40, 3579. ; Ren H.-S. (2007), Application of the heat-balance integral to an inverse Stefan problem, Int. J. Therm. Sci, 46, 118. ; Słota D. (2007), Direct and inverse one-phase Stefan problem solved by variational iteration method, Comput. Math. Appl, 54, 1139. ; Zabaras N. (1990), Inverse finite element techniques for the analysis of soldification processes, Int. J. Numer. Methods Engrg, 29, 1569. ; Zabaras N. (1993), On the solution of an ill-posed design solidification problem using minimization techniques in finite- and infinite-dimensional function space, Int. J. Numer. Methods Engrg, 36, 3973. ; Grzymkowski R. (2002), Parallel Processing, and Applied Mathematics, 2328, 679. ; Bunday B. (1984), Basic Optimisation Method. ; Nelder J. (1965), A simplex method for function minimization, The Comp. Journal, 7, 308. ; Chambers L. (2001), The Practical Handbook of Genetic Algorithms, Applications. ; Michalewicz Z. (1996), Genetic Algorithms + Data Structures = Evolution Programs, doi.org/10.1007/978-3-662-03315-9 ; Osyczka A. (2002), Evolutionary Algorithms for Single and Multicriteria Design Optimization. ; Burczyński T. (2002), Evolutionary optimization in thermoelastic problems using the boundary element method, Comput. Mech, 28, 317. ; Divo E. (2000), Characterization of space dependent thermal conductivity with a BEM-based genetic algorithm, Numer. Heat Transf. A, 37, 845. ; Karr Ch. (2000), Solving inverse initial-value, boundaryvalue problems via genetic algorithm, Eng. Appl. Artif. Intel, 13, 625. ; Mera N. (2004), A multi-population genetic algorithm approach for solving ill-posed problems, Comput. Mech, 33, 254. ; Wrobel L. (2004), Genetic algorithms for inverse cathodic protection problems, Eng. Anal. Bound. Elem, 28, 267. ; Słota D. (2008), Using genetic algorithms for the determination of an heat transfer coefficient in three-phase inverse Stefan problem, Int. Comm. Heat & Mass Transf, 35, 149. ; Słota D. (2008), Solving the inverse Stefan design problem using genetic algorithms, Inverse Probl. Sci. Eng, 16, 829. ; Majchrzak E. (1995), Application of the BEM in the thermal theory of foundry, Eng. Anal. Bound. Elem, 16, 99. ; Rogers J. (1979), The alternating phase truncation method for numerical solution of a Stefan problem, SIAM J. Numer. Anal, 16, 563. ; Beck J. (1985), Inverse Heat Conduction. Ill Posed Problems. ; Kurpisz K. (1995), Inverse Thermal Problems. ; Tikhonov A. (1977), Solution of Ill-Posed Problems. ; Lait E. (1973), Mathematical modeling of heat flow in the continuous casting of steel, Ironmaking and Stellmaking, 44, 589. ; B Mochnacki (1995), Numerical Methods in Computations of Foundry Processes. ; Słota D. (2006), Artificial Intelligence, and Soft Computing, 217. ; Słota D. (2006), Computational Science - ICCS 2006, 3991, 786. ; Słota D. (2006), Influence of the selection method on the solution of an inverse Stefan problem using genetic algorithms, null, 285.

DOI

10.2478/v10173-010-0004-y

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