Erratum to ‘Reconstruction of thermal conductivity and heat capacity using a tomographic approach’ [Int. J. Heat Mass Transfer 51(7–8) (2008) 1866–1876] (S0017931007004929) (10.1016/j.ijheatmasstransfer.2007.06.043));Reconstruction of thermal conductivity and heat capacity using a tomographic approach

International Journal of Heat and Mass Transfer

Volumn 51, Issue 7-8, 2008, Pages 1866-1876

  Kolehmainen, V ^b   Kaipio, J P ^b   Orlande, H R B ^a  

^a FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

^b UNIVERSITY OF EASTERN FINLAND   (Finland)

Author keywords

Inverse problem; Thermal conductivity; Thermal tomography; Volumetric heat capacity

Indexed keywords

COMPUTER SIMULATION; MARKOV PROCESSES; PARAMETER ESTIMATION; PROBLEM SOLVING; SPECIFIC HEAT;

THERMAL TOMOGRAPHY; TOMOGRAPHIC APPROACH; VOLUMETRIC HEAT CAPACITY;

THERMAL CONDUCTIVITY;

COMPUTER SIMULATION; MARKOV PROCESSES; PARAMETER ESTIMATION; PROBLEM SOLVING; SPECIFIC HEAT; THERMAL CONDUCTIVITY;

EID: 39749164408     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2017.12.036     Document Type: Erratum

References (37)

1. Björk Å. Numerical Methods for Least Squares Problems (1996), SIAM
2. Alifanov O.M. Inverse Heat Transfer Problems (1994), Springer-Verlag, New York
3. Arridge S.R. Optical tomography in medical imaging. Inverse Probl. 15 (1999) R41-R93
4. Arridge S.R., Kaipio J.P., Kolehmainen V., Schweiger M., Somersalo E., Tarvainen T., and Vauhkonen M. Approximation errors and model reduction with an application in optical diffusion tomography. Inverse Probl. 22 (2006) 175-195
5. Banks H.T. Boundary estimation problems arising in thermal tomography. Inverse Probl. 6 (1990) 897-921
6. Beck J.V., and Arnold K.J. Parameter Estimation in Engineering and Science (1977), Wiley Interscience
7. Beck J.V., Blackwell B., and St. Clair C.R. Inverse Heat Conduction: Ill-Posed Problems (1985), Wiley Interscience, New York
8. Bryan K., and Caudill Jr. L.F. Stability and reconstruction for an inverse problem for the heat equation. Inverse Probl. 14 (1998) 1429-1453
9. Calvetti D., Kaipio J.P., and Somersalo E. Aristotelian prior boundary conditions. Int. J. Math. 1 (2006) 63-81
10. Chapko R., Kress R., and Yoon J.-R. On the numerical solution of an inverse boundary value problem for the heat equation. Inverse Probl. 14 (1998) 853-867
11. Cheney M., Isaacson D., and Newell J.C. Electrical impedance tomography. SIAM Rev. 41 (1999) 85-101
12. Dobson D.C., and Santosa F. An image enhancement technique for electrical impedance tomography. Inverse Probl. 10 (1994) 317-334
13. Dulikravich G.S., and Martin T.J. Inverse Shape and Boundary Condition Problems and Optimization in Heat Conduction. Number 1 in Advances in Numerical Heat Transfer (1996), Taylor and Francis pp. 381-426 (Chapter 10)
14. Elayyan A., and Isakov V. On an inverse diffusion problem. SIAM. J. Appl. Math. 57 (1997) 1737-1748
15. Engl H. Inverse Problems (1992), Johannes-Kepler-Universität, Linz, Austria Lecture Notes
16. Fox C., and Nicholls G. Sampling conductivity images via MCMC. In: Mardia K.V., Gill C.A., and Aykroyd R.G. (Eds). The Art and Science of Bayesian Image Analysis. Proceedings of the Leeds Annual Statistics Research Workshop, 1-4 July (1997), Leeds University Press, Leeds, UK 91-100
17. Geman S., and Geman D. Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images. IEEE Trans. Pattern Anal. Mach. Intell. 6 (1984) 721-741
18. Gilks W.R., Richardson S., and Spiegelhalter D.J. Markov Chain Monte Carlo in Practice (1996), Chapman & Hall
19. Green P.J. Reversible jump Markov chain Monte Carlo computation and Bayesian model determination. Biometrika (1995) 711-732
20. Hadamard J. Lectures on Cauchy's Problem in Linear Differential Equations (1923), Yale University Press, New Haven, CT
21. Hastings W.K. Monte Carlo sampling methods using Markov chains and their applications. Biometrika 57 (1970) 97-109
22. Isakov V. Inverse Problems in Partial Differential Equations (1998), Springer, New York
23. Jones M., Tezzuka A., and Yamada Y. Thermal tomographic detection of inhomogeneities. J. Heat Transfer 117 (1995) 969-975
24. Kaipio J., and Somersalo E. Statistical and Computational Inverse Problems (2005), Springer, New York
25. Kaipio J., and Somersalo E. Statistical inverse problems: discretization, model reduction and inverse crimes. J. Comput. Appl. Math. 198 (2007) 493-504
26. Kaipio J.P., Kolehmainen V., Somersalo E., and Vauhkonen M. Statistical inversion and Monte Carlo sampling methods in electrical impedance tomography. Inverse Probl. 16 (2000) 1487-1522
27. Kurpisz K., and Nowak A.J. Inverse Thermal Problems (1995), WIT Press, Southampton, UK
28. Melsa J.L., and Cohn D.L. Decision and Estimation Theory. McGraw-Hill (1978)
29. Morozov V.A. Methods for Solving Incorrectly Posed Problems (1984), Springer-Verlag, New York
30. Murio D.A. The Mollification Method and the Numerical Solution of Ill-Posed Problems (1993), Wiley Interscience, New York
31. Nicholls G.K., and Fox C. Prior modelling and posterior sampling in impedance imaging. In: Mohammad-Djafari A. (Ed). Bayesian Inference for Inverse Problems. Proc. SPIE vol. 3459 (1998), SPIE, WA, USA 116-127
32. Ozisik M.N., and Orlande H.R.B. Inverse Heat Transfer: Fundamentals and Applications (2000), Taylor and Francis, New York
33. Papoulis A. Probability, Random Variables and Stochastic Processes (1984), McGraw-Hill
34. Tikhonov A.N., and Arsenin V.Y. Solution of Ill-Posed Problems (1977), Winston & Sons, Washington, DC
35. Trujillo D.M., and Busby H.R. Practical Inverse Analysis in Engineering (1997), CRC Press, Boca Raton
36. In: Woodbury K. (Ed). Inverse Engineering Handbook (2002), CRC Press, Boca Raton
37. Zubelli J.P. An Introduction to Inverse Problems: Examples, Methods and Questions (1999), Institute of Pure and Applied Mathematics, Rio de Janeiro, Brazil