A splitting positive definite mixed finite element method for elliptic optimal control problem

DOI10.1016/j.amc.2013.05.020zbMath1304.65249OpenAlexW1996750726MaRDI QIDQ2513548

Jian-Song Zhang, Hongfei Fu, Hui Guo

Publication date: 28 January 2015

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.05.020

zbMATH Keywords

convergence analysisoptimal controlmixed finite elementindependent symmetric positive definite

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Discrete approximations in optimal control (49M25)

Related Items (11)

A priori error estimates and superconvergence of splitting positive definite mixed finite element methods for pseudo-hyperbolic integro-differential optimal control problems ⋮ A priori error estimates and superconvergence of P02-P1 mixed finite element methods for elliptic boundary control problems ⋮ Superconvergence of semidiscrete splitting positive definite mixed finite elements for hyperbolic optimal control problems ⋮ Efficient implementation of mixed finite element methods for parabolic problems ⋮ Superconvergence of splitting positive definite mixed finite element for parabolic optimal control problems ⋮ A stabilized mixed finite element method for elliptic optimal control problems ⋮ Unnamed Item ⋮ Error estimates and superconvergence of a mixed finite element method for elliptic optimal control problems ⋮ Superconvergence and a posteriori error estimates of splitting positive definite mixed finite element methods for elliptic optimal control problems ⋮ A priori and a posteriori error estimates of \(H^1\)-Galerkin mixed finite element methods for elliptic optimal control problems ⋮ Feedback control problem of an SIR epidemic model based on the Hamilton-Jacobi-Bellman equation

Cites Work

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• Two splitting positive definite mixed finite element methods for parabolic integro-differential equations
• A characteristic-mixed finite element method for time-dependent convection-diffusion optimal control problem
• Superconvergence of triangular mixed finite elements for optimal control problems with an integral constraint
• Error estimates of fully discrete mixed finite element methods for semilinear quadratic parabolic optimal control problem
• Two families of mixed finite elements for second order elliptic problems
• Mixed finite elements for second order elliptic problems in three variables
• The finite element method with Lagrangian multipliers
• A splitting positive definite mixed element method for miscible displacement of compressible flow in porous media
• Splitting positive definite mixed element methods for pseudo-hyperbolic equations
• Global Estimates for Mixed Methods for Second Order Elliptic Equations
• Efficient rectangular mixed finite elements in two and three space variables
• A splitting positive definite mixed element method for second‐order hyperbolic equations
• Mixed and Hybrid Finite Element Methods
• A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations

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