Convergence and quasi-optimality based on an adaptive finite element method for the bilinear optimal control problem
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Publication:2671018
DOI10.3934/math.2021553OpenAlexW3176983904MaRDI QIDQ2671018
Fei Cai, Zuliang Lu, Yin Yang, Chunjuan Hou, Xiankui Wu, Fei Huang
Publication date: 3 June 2022
Published in: AIMS Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/math.2021553
Existence theories for optimal control problems involving partial differential equations (49J20) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Cites Work
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- Superconvergence of triangular Raviart-Thomas mixed finite element methods for a bilinear constrained optimal control problem
- Adaptive finite element method for elliptic optimal control problems: convergence and optimality
- Adaptive finite element approximation for a constrained optimal control problem via multi-meshes
- Convergence and quasi-optimality of an adaptive finite element method for controlling \(L_{2}\) errors
- A posteriori error estimation in finite element analysis
- \(L^{\infty}\)-error estimates of rectangular mixed finite element methods for bilinear optimal control problem
- A spectral Galerkin approximation of optimal control problem governed by fractional advection-diffusion-reaction equations
- Spectral Galerkin approximation of optimal control problem governed by Riesz fractional differential equation
- Optimality of a standard adaptive finite element method
- A fast gradient projection method for a constrained fractional optimal control
- Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method
- Error Estimates for Adaptive Finite Element Computations
- 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
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