High accuracy analysis of nonconforming MFEM for constrained optimal control problems governed by Stokes equations

DOI10.1016/j.aml.2015.09.016zbMath1330.65178OpenAlexW2197209237MaRDI QIDQ899392

Dong-Yang Shi, Hong-Bo Guan, Xiao-Fei Guan

Publication date: 28 December 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2015.09.016

zbMATH Keywords

Stokes equationsoptimal control problemsnonconforming mixed finite elementsupercloseness and superconvergence

Mathematics Subject Classification ID

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

Related Items (10)

Global superconvergence analysis of a nonconforming FEM for Neumann boundary OCPs with elliptic equations ⋮ A locking-free nonconforming FEM for optimal control problems governed by linear elasticity equations ⋮ Superconvergence analysis of a nonconforming finite element method for monotone semilinear elliptic optimal control problems ⋮ An efficient NFEM for optimal control problems governed by a bilinear state equation ⋮ A New Error Analysis of Nonconforming <span style= ⋮ Nonconforming finite element methods for the constrained optimal control problems governed by nonsmooth elliptic equations ⋮ The Convergence and Superconvergence of a MFEM for Elliptic Optimal Control Problems ⋮ A nonconforming finite element method for constrained optimal control problems governed by parabolic equations ⋮ Optimal order error estimates of a modified nonconforming rotated \(Q_1\) IFEM for interface problems ⋮ A nonuniform anisotropic FEM for elliptic boundary layer optimal control problems

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