In this paper, we investigate a method for numerically identification of physical parameters in inverse heat conduction problem(IHCP).Given the parabolic system with initial and boundary conditions, the identifying prob-lem is first formulated as a minimization formula with the H1-regularization. Then the Gateaux derivative of the aim function is evaluated, a forward problem and an ad-joint problem is constructed, and Armijo iteration algorithm is applied for numerical experiments.
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