On the Solution of Inverse Problems for Generalized Oxygen Consumption |
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| Authors: | D Constales J Kacur |
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| Institution: | (1) Dept. Pure Math. and Comp. Alg., Gent Univ., Galglaan 2, 9000 Gent, Belgium;(2) Dept. Num. Math. and Opt., Comenius Univ., 842 15 Bratislava, Slovakia |
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| Abstract: | We present the solution of some inverse problems for one-dimensional free boundary problems of oxygen consumption type, with a semilinear convection-diffusion-reaction parabolic equation. Using a fixed domain transformation (Landau's transformation) the direct problem is reduced to a system of ODEs. To minimize the objective functionals in the inverse problems, we approximate the data by a finite number of parameters with respect to which automatic differentiation is applied. |
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| Keywords: | oxygen consumption inverse problems automatic differentiation |
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