Error estimates and superconvergence of a mixed finite element method for elliptic optimal control problems

DOI10.1016/j.camwa.2017.05.021zbMath1385.49021OpenAlexW2623111077MaRDI QIDQ1705007

Chunmei Liu, Tianliang Hou, Yin Yang

Publication date: 14 March 2018

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.05.021

zbMATH Keywords

mixed finite element methodssuperconvergenceerror estimateelliptic equationsoptimal control problems

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Discrete approximations in optimal control (49M25)

Related Items (5)

Error estimates of variational discretization for semilinear parabolic optimal control problems ⋮ Two‐grid methods for –<scp>P₁</scp> mixed finite element approximation of general elliptic optimal control problems with low regularity ⋮ Two-grid \(P_0^2\)-\(P_{1}\) mixed finite element methods combined with Crank-Nicolson scheme for a class of nonlinear parabolic equations ⋮ An EDG Method for Distributed Optimal Control of Elliptic PDEs ⋮ Optimal control for electromagnetic cloaking metamaterial parameters design

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