A posteriori error estimates of mixed finite element methods for general optimal control problems governed by integro-differential equations
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Publication:2437667
DOI10.1186/1029-242X-2013-351zbMath1283.49032WikidataQ59301086 ScholiaQ59301086MaRDI QIDQ2437667
Publication date: 13 March 2014
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
integro-differential equationsmixed finite element methodsoptimal control problemsa-posteriori error estimates
Integro-partial differential equations (45K05) 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) Integro-partial differential equations (35R09)
Cites Work
- Approximation of a class of optimal control problems with order of convergence estimates
- Superconvergence analysis and a posteriori error estimation of a finite element method for an optimal control problem governed by integral equations
- Second-order analysis for control constrained optimal control problems of semilinear elliptic systems
- A posteriori error estimates for control problems governed by nonlinear elliptic equations
- Error estimates for the numerical approximation of a semilinear elliptic control problem
- 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 mixed finite element methods for optimal control problems
- Superconvergence of quadratic optimal control problems by triangular mixed finite element methods
- Adaptive Finite Element Approximation for Distributed Elliptic Optimal Control Problems
- A Posteriori Error Estimates for Control Problems Governed by Stokes Equations
