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Well-conditioned numerical approach for the solution of the inverse heat conduction problem

Journal Article · · Numerical Heat Transfer, Part B: Fundamentals; (United States)
;  [1];  [2];  [3]
  1. California Univ., Santa Barbara, CA (United States). Dept. of Mechanical and Environmental Engineering
  2. California Univ., Santa Barbara, CA (United States). Dept. of Chemical and Nuclear Engineering
  3. Dept. of Applied Mechanics, Univ. of Navarra, 20009 San Sebastian (ES)
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In this paper a numerical procedure is presented for the solution of the inverse heat conduction problem. The method finds the desired heat flux in either the frequency domain through the inverse discrete transfer function, or in the time domain through the two-sided convolution with the discrete inverse impulse response function. The method is shown to be well conditioned, in the sense that it never yields heat fluxes oscillating with increasing amplitudes; and for unperturbed data, it does not require stabilization or regularization as the time step is decreased or the spatial discretization is refined. This discretization is carried out using the finite-element method. However, the method is also suitable for finite differences or any other discretization procedure. A series of numerical examples illustrate the accuracy and efficiency of the proposed method.

OSTI ID:
5828213
Journal Information:
Numerical Heat Transfer, Part B: Fundamentals; (United States), Journal Name: Numerical Heat Transfer, Part B: Fundamentals; (United States) Vol. 21:1; ISSN NHBFE; ISSN 1040-7790
Country of Publication:
United States
Language:
English

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Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
CALCULATION METHODS
FINITE DIFFERENCE METHOD
FINITE ELEMENT METHOD
FUNCTIONS
HEAT FLUX
ITERATIVE METHODS
MATERIALS
MATHEMATICAL MODELS
NUMERICAL SOLUTION
PHYSICAL PROPERTIES
RESPONSE FUNCTIONS
THERMAL CONDUCTIVITY
THERMODYNAMIC PROPERTIES