Convergence and quasi-optimality of an adaptive finite element method for optimal control problems with integral control constraint
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Publication:1639313
DOI10.1007/s10444-017-9546-8zbMath1391.80007OpenAlexW2729923768MaRDI QIDQ1639313
Publication date: 12 June 2018
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10444-017-9546-8
convergenceadaptive finite element methodquasi-optimalitycontrol constrained optimal control problem
Existence theories for optimal control problems involving partial differential equations (49J20) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10)
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Cites Work
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- Adaptive finite element approximation for a constrained optimal control problem via multi-meshes
- Convergence and optimal complexity of adaptive finite element eigenvalue computations
- Adaptive finite element methods with convergence rates
- Optimality of a standard adaptive finite element method
- A posteriori error estimates for mixed finite element solutions of convex optimal control problems
- A Posteriori Error Estimates for Convex Boundary Control Problems
- Quasi-optimal Adaptive Pseudostress Approximation of the Stokes Equations
- Convergence and optimality of adaptive mixed finite element methods
- A Posteriori Error Estimates of Mixed Methods for Parabolic Optimal Control Problems
- A Convergent Nonconforming Adaptive Finite Element Method with Quasi-Optimal Complexity
- Quasi-Optimality of Adaptive Nonconforming Finite Element Methods for the Stokes Equations
- A Posteriori Error Analysis of Optimal Control Problems with Control Constraints
- Ana posteriorierror analysis of adaptive finite element methods for distributed elliptic control problems with control constraints
- A BASIC CONVERGENCE RESULT FOR CONFORMING ADAPTIVE FINITE ELEMENTS
- Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method
- Error Estimates for Adaptive Finite Element Computations
- Adaptive Finite Element Methods for Optimal Control of Partial Differential Equations: Basic Concept
- Data Oscillation and Convergence of Adaptive FEM
- Adaptive Finite Element Approximation for Distributed Elliptic Optimal Control Problems
- A Posteriori Error Estimates for Control Problems Governed by Stokes Equations
- Convergence of Adaptive Finite Element Methods
- An adaptive finite element algorithm with reliable and efficient error control for linear parabolic problems
- A Convergent Adaptive Algorithm for Poisson’s Equation
- Local and parallel finite element algorithms based on two-grid discretizations
- Error reduction and convergence for an adaptive mixed finite element method
- Convergence of Adaptive Finite Element Methods for General Second Order Linear Elliptic PDEs
- A posteriori error estimates for distributed convex optimal control problems
