Superconvergence of RT1 mixed finite element approximations for elliptic control problems

DOI10.1007/s11425-012-4461-4zbMath1260.49052OpenAlexW2038480227MaRDI QIDQ1945493

Yanping Chen, Tianliang Hou

Publication date: 8 April 2013

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-012-4461-4

zbMATH Keywords

mixed finite element methodssuperconvergenceelliptic equationspostprocessingoptimal control problems

Mathematics Subject Classification ID

Newton-type methods (49M15) Linear-quadratic optimal control problems (49N10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Discrete approximations in optimal control (49M25)

Related Items (5)

An alternating direction method of multipliers for elliptic equation constrained optimization problem ⋮ An interpolation method for the optimal control problem governed by the elliptic convection–diffusion equation ⋮ A modified-upwind with block-centred finite difference scheme based on the two-grid algorithm for convection-diffusion-reaction equations ⋮ A GLOBAL SUPERCONVERGENT <i>L</i>^∞-ERROR ESTIMATE OF MIXED FINITE ELEMENT METHODS FOR SEMILINEAR ELLIPTIC OPTIMAL CONTROL PROBLEMS ⋮ Superconvergence and a posteriori error estimates of splitting positive definite mixed finite element methods for elliptic optimal control problems

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