An iterative boundary element method for the solution of a cauchy steady state heat conduction problem

CMES - Computer Modeling in Engineering and Sciences

Volumn 1, Issue 3, 2000, Pages 100-106

  Mera, N S ^b   Elliott, L ^b   Ingham, D B ^b   Lesnic, D ^a  

^a UNIVERSITY OF LEEDS   (United Kingdom)

^b NONE

Author keywords

BEM; Cauchy problem; Heat conduction; Iterative algorithm

Indexed keywords

EID: 0039925774     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (7)

1. Bakushinky, A.; Goncharsky, A. (1994): Ill-Posed Problems: Theory and Applications. Kluwer Academic, Dordrecht.
2. Brebbia, C. A.; Telles, J. C. F.; Wrobel, L. C. (1984): Boundary Element Techniques: Theory and Application in Engineering. Springer-Verlag, Berlin.
3. Hadamard, J. (1923): Lectures on Cauchy Problem in Linear Partial Differential Equations. Yale University Press, New Heavens.
4. Kozlov, V. A.; Maz'ya, V. G. (1990): On iterative procedures for solving ill-posed boundary value problems that preserve differential equations. Leningrad Math. J., vol. 5, pp. 1207-1228.
5. Lavrent'ev, M. M.; Romanov, V. G.; Vasil'ev, V. G. (1969): Multidimensional Inverse Problems for Differential Equations. Izdat, "Nauka" Sibirsk. Otdel., Novosibirsk, (in Russian).
6. Mera, N. S.; Elliott, L.; Ingham, D. B.; Lesnic, D. (1999): The effect of a variable relaxation factor on the rate of convergence in the cauchy problem. In Aliabadi, M.(Ed): Boundary Element Technique, pp. 357-366. Queen Mary and Westfield College, Univ. of London, London.
7. Tikhonov, A. N.; Arsenin, V. Y. (1977): Solutions of Ill-Posed Problems. Winston-Wiley, Washington D.C.