SECOND-ORDER DYNAMIC METHOD FOR OBTAINING APPROXIMATE SOLUTIONS TO MULTIDIMENSIONAL INVERSE HEAT CONDUCTION PROBLEMS
DOI:
https://doi.org/10.15407/dopovidi2023.04.020Keywords:
inverse heat conduction problems, ill-posted problems, dynamic regularization methodAbstract
The formulation of the non-stationary thermal conductivity inverse problem is discussed in its general form. It is demonstrated that such formulations belong to the class of ill-posed problems. A dynamic method employing first- and second-order regularization is proposed to address these ill-posed problems. It is proven that the second-order dynamic regularization method enables the derivation of approximate solutions even in the presence of disturbances in the input data
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