Error Estimates for the Approximation of a Class of Optimal Control Systems Governed by Linear PDEs

DOI10.1080/01630560902987931zbMath1168.49026OpenAlexW2005993896MaRDI QIDQ3395175

Pablo Gamallo, Erwin Hernández

Publication date: 24 August 2009

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560902987931

zbMATH Keywords

error estimatesfinite element approximationoptimal control problems

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Discrete approximations in optimal control (49M25)

Related Items

A finite element approximations of a structural acoustic control problem with a Timoshenko beam interface ⋮ A superconvergent scheme for a locking‐free FEM in a Timoshenko optimal control problem ⋮ Active control of sloshing in containers with elastic baffle plates ⋮ A complete algorithm to find exact minimal polynomial by approximations ⋮ On the Error Estimates for the Finite Element Approximation of a Class of Boundary Optimal Control Systems ⋮ On stabilized mixed methods for generalized Stokes problem based on the velocity-pseudostress formulation: a priori error estimates ⋮ A Posteriori Error Estimates of Mixed Methods for Parabolic Optimal Control Problems

Cites Work

• Unnamed Item
• Approximation of a class of optimal control problems with order of convergence estimates
• Error estimates for the numerical approximation of boundary semilinear elliptic control prob\-lems
• Using piecewise linear functions in the numerical approximation of semilinear elliptic control problems
• Finite element methods (Part 1)
• On the boundary element method for the Signorini problem of the Laplacian
• Error estimates for the approximation of semicoercive variational inequalities
• A variational discretization concept in control constrained optimization: The linear-quadratic case
• Error estimates for the numerical approximation of a semilinear elliptic control problem
• Finite element convergence for singular data
• Error estimates for linear-quadratic control problems with control constraints
• $L^\infty$-Estimates for Approximated Optimal Control Problems
• Finite Element Methods in Local Active Control of Sound
• Superconvergence Properties of Optimal Control Problems