Error estimates of semidiscrete mixed methods for optimal control problems governed by parabolic integro-differential equations

DOI10.1007/s10013-013-0014-6zbMath1268.49036OpenAlexW1995670541MaRDI QIDQ353039

Tianliang Hou

Publication date: 12 July 2013

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-013-0014-6

zbMATH Keywords

parabolic integro-differential equationsoptimal control problemsa-priori error estimatessemi-discrete mixed finite element methods

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Discrete approximations in optimal control (49M25) Integro-partial differential equations (35R09)

Related Items (2)

New elliptic projections and a priori error estimates of \(H^1\)-Galerkin mixed finite element methods for optimal control problems governed by parabolic integro-differential equations ⋮ A priori and a posteriori error estimates of \(H^1\)-Galerkin mixed finite element methods for optimal control problems governed by pseudo-hyperbolic integro-differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Error estimates and superconvergence of mixed finite element methods for convex optimal control problems
• Error estimates for the numerical approximation of a semilinear elliptic control problem
• Analysis and finite element approximation of an optimal control problem in electrochemistry with current density controls
• 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 Estimates for Convex Boundary Control Problems
• Global Estimates for Mixed Methods for Second Order Elliptic Equations
• Superconvergence of quadratic optimal control problems by triangular mixed finite element methods
• Finite Element Approximation of Parabolic Time Optimal Control Problems
• Mixed and Hybrid Finite Element Methods
• Improved error estimates for mixed finite‐element approximations for nonlinear parabolic equations: The continuous‐time case
• 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
• A Posteriori Error Estimates for Control Problems Governed by Stokes Equations

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