Approximations of optimal control problems for semilinear elliptic equations with discontinuous coefficients and states and with controls in the coefficients multiplying the highest derivatives

DOI10.1134/S0965542516070125zbMath1362.65066MaRDI QIDQ519126

M. E. Fairuzov, F. V. Lubyshev

Publication date: 4 April 2017

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

zbMATH Keywords

weak convergencesemilinear elliptic equationsdiscontinuous coefficientsfinite difference approximationsnonlinear optimal control problems

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

Related Items (2)

Consistent convergence rate estimates in the grid \(W_{2,0}^2(\omega)\) norm for difference schemes approximating nonlinear elliptic equations with mixed derivatives and solutions from \(W_{2,0}^m(\Omega)\), \(3 < m \leq 4\) ⋮ On a Problem of Optimal Control of Convection-Diffusion Processes

Cites Work

• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
• Approximation and regularization of optimal control problems for a non- selfadjoint elliptic equation with variable coefficients
• Approximation and regularization of problems of the optimal control of the coefficients of parabolic equations
• 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.
• Finite-difference methods for convection-diffusion problems with discontinuous coefficients and solutions
• Difference approximations of optimization problems for semilinear elliptic equations in a convex domain with controls in the coefficients multiplying the highest derivatives
• The accuracy of difference approximations and the regularization of optimal control problems for an elliptic equation with controls in the coefficients
• On some optimal control problems and their finite difference approximations and regularization for quasilinear elliptic equations with controls in the coefficients
• The accuracy of finite-difference schemes for parabolic equations with a discontinuous solution
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