\(L^{\infty}\)-error estimates of rectangular mixed finite element methods for bilinear optimal control problem
From MaRDI portal
Publication:1735146
DOI10.1016/j.amc.2016.12.006zbMath1411.49005OpenAlexW2566554758MaRDI QIDQ1735146
Publication date: 28 March 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2016.12.006
Raviart-Thomas mixed finite element methodsrectangular partition\(L^{\infty}\)-error estimatesbilinear optimal control problem
Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)
Related Items
A posteriori error estimates of spectral method for nonlinear parabolic optimal control problem, Error estimates in \(L^2\) and \(L^\infty\) norms of finite volume method for the bilinear elliptic optimal control problem, Superconvergence of semidiscrete splitting positive definite mixed finite elements for hyperbolic optimal control problems, An EOQ inventory model for deteriorating items with controllable deterioration rate under stock-dependent demand rate and non-linear holding cost, Convergence and quasi-optimality based on an adaptive finite element method for the bilinear optimal control problem, \textit{A posteriori} error estimates of characteristic mixed finite elements for convection-diffusion control problems, Local a posteriori error estimates for boundary control problems governed by nonlinear parabolic equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Superconvergence of triangular Raviart-Thomas mixed finite element methods for a bilinear constrained optimal control problem
- Approximation of a class of optimal control problems with order of convergence estimates
- Second-order necessary optimality conditions for some state-constrained control problems of semilinear elliptic equations
- A posteriori error estimates for control problems governed by nonlinear elliptic equations
- Second order sufficient optimality conditions for a nonlinear elliptic boundary control problem
- A priori error estimates for elliptic optimal control problems with a bilinear state equation
- Global Estimates for Mixed Methods for Second Order Elliptic Equations
- Adaptive Finite Element Approximation for a Class of Parameter Estimation Problems
- A Legendre–Galerkin Spectral Method for Optimal Control Problems Governed by Elliptic Equations
- Mixed Finite Element Methods for Quasilinear Second-Order Elliptic Problems
- $L^\infty $-Error Estimates for Mixed Methods for Semilinear Second-Order Elliptic Equations
- On the approximation of the solution of an optimal control problem governed by an elliptic equation
- A remark on the rate of convergence for a mixed finite element method for second order problems
- Mixed and Hybrid Finite Element Methods
- Superconvergence Properties of Optimal Control Problems
- Adaptive Finite Element Approximation for Distributed Elliptic Optimal Control Problems
- A Priori Error Estimates of Finite Element Methods for Linear Parabolic Integro-Differential Optimal Control Problems
- A Posteriori Error Estimates of Lowest Order Raviart-Thomas Mixed Finite Element Methods for Bilinear Optimal Control Problems
