\textit{A posteriori} error estimates of characteristic mixed finite elements for convection-diffusion control problems
DOI10.1515/math-2022-0053zbMath1500.65070OpenAlexW4292474723MaRDI QIDQ2084181
Publication date: 18 October 2022
Published in: Open Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/math-2022-0053
a posteriori error estimatesconvection-diffusion equationsoptimal control problemscharacteristic mixed finite element methods
Numerical optimization and variational techniques (65K10) Diffusion (76R50) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Existence theories for optimal control problems involving partial differential equations (49J20) PDE constrained optimization (numerical aspects) (49M41)
Cites Work
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- Superconvergence of triangular Raviart-Thomas mixed finite element methods for a bilinear constrained optimal control problem
- Superconvergence analysis of fully discrete finite element methods for semilinear parabolic optimal control problems
- A characteristic-mixed finite element method for time-dependent convection-diffusion optimal control problem
- Error estimates and superconvergence of mixed finite element methods for convex optimal control problems
- A characteristic finite element method for optimal control problems governed by convection-diffusion equations
- \(L^{\infty}\)-error estimates of rectangular mixed finite element methods for bilinear optimal control problem
- A non-overlapping DDM combined with the characteristic method for optimal control problems governed by convection-diffusion equations
- Error estimates for the numerical approximation of a semilinear elliptic control problem
- A posteriori error estimates for optimal control problems governed by parabolic equations
- Analysis and finite element approximation of an optimal control problem in electrochemistry with current density controls
- Superconvergence analysis for parabolic optimal control problems
- 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
- Finite element methods for optimal control problems governed by integral equations and integro-differential equations
- A posteriori error estimate for the mixed finite element method
- Superconvergence of quadratic optimal control problems by triangular mixed finite element methods
- Finite Element Approximation of Parabolic Time Optimal Control Problems
- Adaptive Finite Element Methods for Optimal Control of Partial Differential Equations: Basic Concept
- Adaptive Lagrange–Galerkin methods for unsteady convection-diffusion problems
- Superconvergence of splitting positive definite mixed finite element for parabolic optimal control problems
- A Posteriori Error Estimates for Discontinuous Galerkin Time-Stepping Method for Optimal Control Problems Governed by Parabolic Equations
- Adaptive Finite Element Approximation for Distributed Elliptic Optimal Control Problems
- Adaptive characteristic finite element approximation of convection–diffusion optimal control problems
- A numerical method based on a bilinear pseudo-spectral method to solve the convection-diffusion optimal control problems
- The Ritz–Galerkin Procedure for Parabolic Control Problems
- The generalized finite element method
- A minimal stabilisation procedure for mixed finite element methods
- An interpolation method for the optimal control problem governed by the elliptic convection–diffusion equation
- A multigrid scheme for solving convection-diffusion-integral optimal control problems
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