Far Eastern Mathematical Journal

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Inverse extremum problems for stationary equations of convection-diffusion-reaction

O. V. Soboleva

2010, issue 2, P. 170–184

We study the coefficient inverse extremum problem for stationary equations of convection-diffusion-reaction in a bounded domain with mixed boundary conditions. We prove the stability of the solution of this problem with respect to small perturbations of both the cost functional and of the given function entering into the initial boundary value problem. The numerical algorithm is developed for solution of this extremum problem. It is based on Newton method for solving nonlinear equations and discretization of the linear boundary value problem by finite difference method or finite element method. Some results of numerical experiments are discussed.

elliptic equation, third boundary value problem, mass transfer, coefficient inverse problem, solvability, stability, numerical algorithm

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