Geodesic
Inverse extremum problems for stationary equations of convection-diffusion-reaction
Dalʹnevostočnyj matematičeskij žurnal, Tome 10 (2010) no. 2, pp. 170-184

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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. 
@article{DVMG_2010_10_2_a6,
     author = {O. V. Soboleva},
     title = {Inverse extremum problems for stationary equations of convection-diffusion-reaction},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {170--184},
     publisher = {mathdoc},
     volume = {10},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2010_10_2_a6/}
}
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O. V. Soboleva. Inverse extremum problems for stationary equations of convection-diffusion-reaction. Dalʹnevostočnyj matematičeskij žurnal, Tome 10 (2010) no. 2, pp. 170-184. http://geodesic.mathdoc.fr/item/DVMG_2010_10_2_a6/