Error estimates for the numerical approximation of Neumann control problems governed by a class of quasilinear elliptic equations

DOI10.1007/s10589-011-9440-0zbMath1260.49049OpenAlexW2019614926MaRDI QIDQ694519

Eduardo Casas, Vili Dhamo

Publication date: 12 December 2012

Published in: Computational Optimization and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10589-011-9440-0

zbMATH Keywords

error estimatesfinite elementsquasilinear elliptic equationNeumann boundary control

Mathematics Subject Classification ID

Discrete approximations in optimal control (49M25) Numerical methods of relaxation type (49M20)

Related Items (13)

Error estimates for optimal control problems of a class of quasilinear equations arising in variable viscosity fluid flow ⋮ Finite Element Analysis of a Constrained Dirichlet Boundary Control Problem Governed by a Linear Parabolic Equation ⋮ Continuity regularity of optimal control solutions to distributed and boundary semilinear elliptic optimal control problems with mixed pointwise control-state constraints ⋮ Second-order Lagrange multiplier rules in multiobjective optimal control of infinite dimensional systems under state constraints and mixed pointwise constraints ⋮ Adaptive Symmetric Interior Penalty Galerkin Method for Boundary Control Problems ⋮ Error estimates for the numerical approximation of a quaslinear Neumann problem under minimal regularity of the data ⋮ Unified discontinuous Galerkin finite element methods for second order Dirichlet boundary control problem ⋮ Optimal control of a non-smooth quasilinear elliptic equation ⋮ Optimal Control of Partial Differential Equations ⋮ Analysis and optimal control of some quasilinear parabolic equations ⋮ Fourier Finite Volume Element Method for Two Classes of Optimal Control Problems Governed by Elliptic PDEs on Complex Connected Domain ⋮ Finite element analysis of the constrained Dirichlet boundary control problem governed by the diffusion problem ⋮ Optimal Control of Sliding Droplets Using the Contact Angle Distribution

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