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 diffusion-reaction equation is formulated. The solvability of this problem is proved, the application of Lagrange principle is justified 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 discussed

• Periodical: Applied Mechanics and Materials (Volume 756)
• Pages: 353-358
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.756.353
• Online since: April 2015
• Authors: O.V. Soboleva*, Denis V. Mashkov
• Keywords: Diffusion-Reaction Equation, Inverse Extremum Problem, Numerical Algorithm

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