Adaptive variational discretization approximation method for parabolic optimal control problems
From MaRDI portal
Publication:2069582
DOI10.1186/s13660-020-02506-6zbMath1503.49028OpenAlexW3105158158MaRDI QIDQ2069582
Publication date: 20 January 2022
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-020-02506-6
Numerical optimization and variational techniques (65K10) 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)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A unified a posteriori error estimate of local discontinuous Galerkin approximations for reactive transport problems
- Adaptive finite element method for elliptic optimal control problems: convergence and optimality
- A posteriori error estimates for optimal distributed control governed by the evolution equations
- Superconvergence for optimal control problems governed by semi-linear elliptic equations
- Error estimates and superconvergence of mixed finite element methods for convex optimal control problems
- The superconvergent patch recovery (SPR) and adaptive finite element refinement
- Approximation of a class of optimal control problems with order of convergence estimates
- Multigrid optimization methods for linear and bilinear elliptic optimal control problems
- Adaptive finite element methods for mixed control-state constrained optimal control problems for elliptic boundary value problems
- A variational discretization concept in control constrained optimization: The linear-quadratic case
- A posteriori error estimates for optimal control problems governed by parabolic equations
- Convergence and superconvergence of variational discretization for parabolic bilinear optimization problems
- Variational discretization for parabolic optimal control problems with control constraints
- A posteriori error estimates of recovery type for distributed convex optimal control problems
- A posteriori error estimates for mixed finite element solutions of convex optimal control problems
- Variational Discretization of Parabolic Control Problems in the Presence of Pointwise State Constraints
- A Priori Error Analysis of the Petrov–Galerkin Crank–Nicolson Scheme for Parabolic Optimal Control Problems
- A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part II: Problems with Control Constraints
- On the approximation of the solution of an optimal control problem governed by an elliptic equation
- The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
- Adaptive Finite Element Methods for Optimal Control of Partial Differential Equations: Basic Concept
- Superconvergence Properties of Optimal Control Problems
- Adaptive Finite Element Approximation for Distributed Elliptic Optimal Control Problems
- A Posteriori Error Estimates of Semidiscrete Mixed Finite Element Methods for Parabolic Optimal Control Problems
- Adaptive Space‐Time Finite Element Methods for Parabolic Optimization Problems
- A Priori Error Analysis for Finite Element Approximation of Parabolic Optimal Control Problems with Pointwise Control
- A posteriori error estimates for distributed convex optimal control problems
This page was built for publication: Adaptive variational discretization approximation method for parabolic optimal control problems