Numerical Analysis of Inverse Problems for the Model of Transfer of Industrial Environmental Pollution in the Machine-Building

Abstract:

The model of transfer of polluting substance is considered. Inverse extremum problem of identification of the coefficients in an elliptic convection-diffusion-reaction equation is formulated. The solvability of this problem is proved and the optimality system is constructed for specific cost functional. The numerical algorithm based on Newton-method of nonlinear optimization of linear elliptic problems is developed and programmed on computer. The results of numerical experiments are presented. Influence of coefficient of convection on stability of algorithm of the solution of the inverse extremum problem is investigated.

• Periodical: Applied Mechanics and Materials (Volume 770)
• Pages: 695-700
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.770.695
• Online since: June 2015
• Authors: O.V. Soboleva*
• Keywords: Convection-Diffusion-Reaction Equation, Inverse Extremum Problem, Numerical Algorithm, Stability of Finite Difference Scheme

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