Difference approximations of optimization problems for semilinear elliptic equations in a convex domain with controls in the coefficients multiplying the highest derivatives

DOI10.1134/S0965542513010053zbMath1274.49007MaRDI QIDQ2838791

A. R. Manapova, F. V. Lubyshev

Publication date: 3 July 2013

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

Full work available at URL: http://www.maik.ru/cgi-perl/search.pl?type=abstract&name=commat&number=1&year=13&page=8

zbMATH Keywords

Dirichlet boundary conditionsconvergence rateconvex domainnonlinear optimal control problemsdifference approximationscontrols in the coefficients multiplying the highest derivativesnon-self-adjoint semilinear elliptic equation

Mathematics Subject Classification ID

Existence theories for optimal control problems involving partial differential equations (49J20) Semilinear elliptic equations (35J61)

Related Items (9)

Numerical solution of optimization problems for semi-linear elliptic equations with discontinuous coefficients and solutions ⋮ On the structure of a solution set of controlled initial-boundary value problems ⋮ On differentiation of functional in problem on parametric coefficient optimization in semilinear global electric circuit equation ⋮ Differentiation of the functional in a parametric optimization problem for a coefficient of a semilinear elliptic equation ⋮ Approximations of optimal control problems for semilinear elliptic equations with discontinuous coefficients and solutions and with control in matching boundary conditions ⋮ Approximations of optimal control problems for semilinear elliptic equations with discontinuous coefficients and states and with controls in the coefficients multiplying the highest derivatives ⋮ Differentiation of a functional in the problem of parametric coefficient optimization in the global electric circuit equation ⋮ Differentiation of the functional in a parametric optimization problem for the higher coefficient of an elliptic equation ⋮ On the convergence of the conditional gradient method as applied to the optimization of an elliptic equation

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