Abstract
The convergence of iteration methods of solving the inverse heat-conduction problem depending on the type of desired boundary function is numerically investigated.
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Abbreviations
- t:
-
time
- tp :
-
length of the time interval
- x:
-
space coordinate
- b:
-
thickness
- T(x, t):
-
temperature
- C(T):
-
bulk specific heat of the material
- λ(T):
-
heat conduction coefficient of the material
- ϕ(x):
-
initial temperature distribution
- q:
-
thermal flux density
- f(t):
-
measured temperature
- ψ(x, t):
-
adjoint variable
- α, β, p:
-
parameters of the method of conjugate gradients
- k:
-
number of the iteration
Literature cited
O. M. Alifanov, “Solution of the inverse heat-conduction problem by iterative methods,” Inzh.-Fiz. Zh.,26, No. 4, 682–689 (1974).
O. M. Alifanov and S. V. Rumyantsev, “On a method of solving ill-posed problems,” Inzh.-Fiz. Zh.,34, No. 2, 328–331 (1978).
O. M. Alifanov and V. V. Mikhailov, “Solution of nonlinear inverse heat-conduction problem by an iterative method,” Inzh.-Fiz. Zh.,35, No. 6, 1123–1129 (1978).
Additional information
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 45, No. 5, pp. 770–773, November, 1983.
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Mikhailov, V.V. Question of the convergence of iteration methods of solving the inverse heat-conduction problem. Journal of Engineering Physics 45, 1263–1266 (1983). https://doi.org/10.1007/BF01254730
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DOI: https://doi.org/10.1007/BF01254730