2010
DOI: 10.1016/j.apm.2010.04.006
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Use of 3D-transient analytical solution based on Green’s function to reduce computational time in inverse heat conduction problems

Abstract: a b s t r a c tInverse problems can be found in many areas of science and engineering and can be applied in different ways. Two examples can be cited: thermal properties estimation or heat flux function estimation in some engineering thermal process. Different techniques for the solution of inverse heat conduction problem (IHCP) can be found in literature. However, any inverse or optimization technique has a basic and common characteristic: the need to solve the direct problem solution several times. This char… Show more

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Cited by 33 publications
(14 citation statements)
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References 30 publications
(35 reference statements)
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“…There is only few works presenting such an approach [14][15][16][17]. The homotopy perturbation method presented in the paper is an example of the analytical method used for solving the inverse heat conduction problem.…”
Section: Introductionmentioning
confidence: 98%
“…There is only few works presenting such an approach [14][15][16][17]. The homotopy perturbation method presented in the paper is an example of the analytical method used for solving the inverse heat conduction problem.…”
Section: Introductionmentioning
confidence: 98%
“…These differences, in fact, require very accurate values of the temperature, in particular when the space and time intervals chosen for approximating the surface heat flux are very small. However, the computational time is greatly reduced by using analytical solutions [15].…”
Section: Introductionmentioning
confidence: 99%
“…Majumdar and Xia (2007) analyzed the laser heating of materials using Green's function method. In addition, Green's function was also applied in inverse transient heat conduction problems (Fernandes et al, 2010).…”
Section: Introductionmentioning
confidence: 99%