Identification of nonlinear coefficient in a transport equation

A. V. Lapin^a, S. A. Lapin<sup>b

a</sup> Kazan State University, The Faculty of Computer Science and Cybernetics
^b University of Houston

Abstract: Considered a problem of identification a nonlinear coefficient in a first order PDE via final observation. The problem is stated as an optimal control problem and solved numerically. Implicit finite difference scheme is used for the approximation of the state equation. A space of control variables is approximated by a sequence of finite-dimensional spaces with increaing dimensions. Finite dimensional problems are solved by a gradient method and numerical results are presented.

Keywords: nonlinear coefficient identification, transport equation, final observation, finite difference scheme, multilevel algorithm.

Language: English

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