Approximations of optimal control problems for semilinear elliptic equations with discontinuous coefficients and solutions and with control in matching boundary conditions

DOI10.1134/S0965542514110086zbMath1326.49044OpenAlexW2065025602MaRDI QIDQ889193

M. E. Fairuzov, A. R. Manapova, F. V. Lubyshev

Publication date: 6 November 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542514110086

zbMATH Keywords

semilinear elliptic equationsfinite difference approximationsoptimal control problemregularization method

Mathematics Subject Classification ID

Finite difference methods for boundary value problems involving PDEs (65N06) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25) Semilinear elliptic equations (35J61)

Related Items (6)

Numerical solution of optimization problems for semi-linear elliptic equations with discontinuous coefficients and solutions ⋮ On certain problems of optimal control and their approximations for some non-self-adjoint elliptic equations of the convection-diffusion type ⋮ On a Problem of Optimal Control of Convection-Diffusion Processes ⋮ An Iterative Process for the Solution of Semi-Linear Elliptic Equations with Discontinuous Coefficients and Solution ⋮ On the differentiation of the functional in distributed optimization problems with imperfect contact ⋮ An Approximate Solution of Optimization Problems for Elliptic Interface Problems with Variable Coefficients and Imperfect Contact

Cites Work

• Approximation and regularization of optimal control problems for parabolic equations with controls in coefficients
• Approximation and regularization of optimal control problems for quasilinear elliptic equations.
• Difference approximations of optimization problems for semilinear elliptic equations in a convex domain with controls in the coefficients multiplying the highest derivatives
• On some optimal control problems and their finite difference approximations and regularization for quasilinear elliptic equations with controls in the coefficients
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Approximations of optimal control problems for semilinear elliptic equations with discontinuous coefficients and solutions and with control in matching boundary conditions