Geodesic
Identification of nonlinear coefficient in a~transport equation
Lobachevskii journal of mathematics, Tome 14 (2004), pp. 69-84

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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, finite difference scheme, multilevel algorithm.
Mots-clés : transport equation, final observation 
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     author = {A. V. Lapin and S. A. Lapin},
     title = {Identification of nonlinear coefficient in a~transport equation},
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     pages = {69--84},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/LJM_2004_14_a6/}
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A. V. Lapin; S. A. Lapin. Identification of nonlinear coefficient in a~transport equation. Lobachevskii journal of mathematics, Tome 14 (2004), pp. 69-84. http://geodesic.mathdoc.fr/item/LJM_2004_14_a6/