A three-dimensional inverse radiation problem of parameter estimation
Hajer Grissa, Faouzi Askri, Fethi Albouchi, Sassi Ben Nasrallah
A three-dimensional inverse radiation problem of parameter estimation in absorbing, emitting and scattering medium is solved, given temperature profile. The radiative transfer equation is solved by the control volume finite element method (CVFEM) and the Levenberg Marquardt method (LMM) is used to minimize an objective function, expressed by the sum of square residuals between calculated and experimental data. Also, the effects of initial guesses, measurement error and number of measurement points are examined. It is shown that the present technique is robust and can be used to make reliable predictions of the radiative parameters.
Keywords: Inverse radiation problem, CVFEM, Levenberg Marquardt method, Parameter estimation, 3D.