Numerical analysis of some optimal control problems governed by a class of quasilinear elliptic equations

DOI10.1051/cocv/2010025zbMath1228.49033OpenAlexW1971612770MaRDI QIDQ3170572

Fredi Tröltzsch, Eduardo Casas

Publication date: 27 September 2011

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/221895

zbMATH Keywords

quasilinear elliptic equationsfinite element approximationsoptimal control problemsconvergence of discretized controls

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Discrete approximations in optimal control (49M25) PDEs in connection with control and optimization (35Q93)

Related Items (12)

Error estimates for optimal control problems of a class of quasilinear equations arising in variable viscosity fluid flow ⋮ Error Estimates for Approximate Solutions to Seminlinear Elliptic Optimal Control Problems with Nonlinear and Mixed Constraints ⋮ Sparse optimal control of a quasilinear elliptic PDE in measure spaces ⋮ FEM for semilinear elliptic optimal control with nonlinear and mixed constraints ⋮ Optimal control of a non-smooth quasilinear elliptic equation ⋮ Optimal Control of Partial Differential Equations ⋮ Analysis and optimal control of some quasilinear parabolic equations ⋮ Error estimates for the numerical approximation of Neumann control problems governed by a class of quasilinear elliptic equations ⋮ Discretization of optimal control problems governed by \(p\)-Laplacian elliptic equations ⋮ Numerical approximation of control problems of non-monotone and non-coercive semilinear elliptic equations ⋮ Convergence of the SQP method for quasilinear parabolic optimal control problems ⋮ Numerical analysis of quasilinear parabolic equations under low regularity assumptions

Cites Work

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• First- and Second-Order Optimality Conditions for a Class of Optimal Control Problems with Quasilinear Elliptic Equations
• Some Optimal Error Estimates for Piecewise Linear Finite Element Approximations
• A Galerkin Method for a Nonlinear Dirichlet Problem

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