A priori error estimates for elliptic optimal control problems with a bilinear state equation
From MaRDI portal
Publication:2390024
DOI10.1016/j.cam.2009.01.023zbMath1178.65071OpenAlexW2129060539MaRDI QIDQ2390024
Publication date: 20 July 2009
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2009.01.023
optimal controlfinite elementsnumerical examplesa priori error estimatescontrol constraintsbilinear equations
Numerical optimization and variational techniques (65K10) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)
Related Items
Global superconvergence analysis of a nonconforming FEM for Neumann boundary OCPs with elliptic equations, Multigrid optimization methods for the optimal control of convection-diffusion problems with bilinear control, Residual-based a posteriori error estimates for the \(hp\) version of the finite element discretization of the elliptic Robin boundary control problem, Superconvergence of triangular Raviart-Thomas mixed finite element methods for a bilinear constrained optimal control problem, A posteriori error estimates for an optimal control problem with a bilinear state equation, Nonconforming immersed finite element method for solving elliptic optimal control problems with interfaces, Bilinear Optimal Control of an Advection-Reaction-Diffusion System, A stabilized mixed finite element approximation of bilinear state optimal control problems, A Multilevel Correction Method for Optimal Controls of Elliptic Equations, BDF2 schemes for optimal parameter control problems governed by bilinear parabolic equations, The Gradient Discretization Method for Optimal Control Problems, with Superconvergence for Nonconforming Finite Elements and Mixed-Hybrid Mimetic Finite Differences, Accuracy Estimates for Bilinear Optimal Control Problems Governed by Ordinary Differential Equations, Second-order time discretization for reaction coefficient estimation of bilinear parabolic optimization problem with Neumann boundary conditions, Optimal bilinear control problem related to a chemo-repulsion system in 2D domains, An efficient NFEM for optimal control problems governed by a bilinear state equation, A reaction coefficient identification problem for fractional diffusion, Optimization of fishing strategies in space and time as a non-convex optimal control problem, A priori error estimates for space-time finite element discretization of semilinear parabolic optimal control problems, Acceleration and Global Convergence of a First-Order Primal-Dual Method for Nonconvex Problems, \(L^{\infty}\)-error estimates of rectangular mixed finite element methods for bilinear optimal control problem, A Regularity Criterion for a 3D Chemo-Repulsion System and Its Application to a Bilinear Optimal Control Problem, Convergence analysis of a Crank-Nicolson Galerkin method for an inverse source problem for parabolic equations with boundary observations, Optimizing fiber orientation in fiber-reinforced materials using efficient upscaling, Error estimates for the finite element approximation of bilinear boundary control problems, Stability of saddle points via explicit coderivatives of pointwise subdifferentials, Adaptive Finite Element Methods for Parameter Identification Problems, Bilinear optimal control problem for the stationary Navier-Stokes equations with variable density and slip boundary condition, Convergence of sum-up rounding schemes for cloaking problems governed by the Helmholtz equation, New \textit{a posteriori} error estimates for \textit{hp} version of finite element methods of nonlinear parabolic optimal control problems, Convergence and superconvergence of variational discretization for parabolic bilinear optimization problems, Finite element method for parabolic optimal control problems with a bilinear state equation, Second-order approximation and fast multigrid solution of parabolic bilinear optimization problems, Residual-based \textit{a posteriori} error estimates for \textit{hp} finite element solutions of semilinear Neumann boundary optimal control problems, Primal-Dual Extragradient Methods for Nonlinear Nonsmooth PDE-Constrained Optimization
Uses Software
Cites Work
- Using piecewise linear functions in the numerical approximation of semilinear elliptic control problems
- Convergence of approximations vs. regularity of solutions for convex, control-constrained optimal-control problems
- A variational discretization concept in control constrained optimization: The linear-quadratic case
- Estimation techniques for distributed parameter systems
- Error estimates for the numerical approximation of a semilinear elliptic control problem
- Theory and practice of finite elements.
- Optimal control of the convection-diffusion equation using stabilized finite element methods
- Error Estimates for the Numerical Identification of a Variable Coefficient
- Numerical Verification of Optimality Conditions
- A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part I: Problems Without Control Constraints
- A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part II: Problems with Control Constraints
- Primal-Dual Strategy for Constrained Optimal Control Problems
- The Primal-Dual Active Set Method for Nonlinear Optimal Control Problems with Bilateral Constraints
- Superconvergence Properties of Optimal Control Problems
- A linearization technique and error estimates for distributed parameter identification in quasilinear problems
- Primal-Dual Active Set Strategy for a General Class of Constrained Optimal Control Problems
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item