An optimal control problem with nonlinear elliptic state equations

DOI10.1016/0022-247X(92)90152-4zbMath0777.49006OpenAlexW2137009999MaRDI QIDQ1192140

M. Kemal Leblebicioǧlu, A. Okay Çelebi

Publication date: 27 September 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(92)90152-4

zbMATH Keywords

convergence propertiesnumerical solutionsecond order semilinear elliptic equationsfinite element algorithms

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical solutions to equations with nonlinear operators (65J15) Existence theories for problems in abstract spaces (49J27)

Related Items (1)

Differentiation of operators and optimality conditions in category interpretation

Cites Work

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• Boundary control of parabolic systems: Finite-element approximation
• Error estimates for a Galerkin approximation of a parabolic control problem
• Lectures on numerical methods for non-linear variational problems
• Contrôle dans les inéquations variationelles elliptiques
• On the approximation of the solution of an optimal control problem governed by an elliptic equation
• The Ritz–Galerkin Procedure for Parabolic Control Problems
• Necessary conditions for nonconvex distributed control problems governed by elliptic variational inequalities

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