Finite Element Approximation of Space Fractional Optimal Control Problem with Integral State Constraint

DOI10.4208/NMTMA.OA-2019-0201zbMath1474.65453OpenAlexW3034671015MaRDI QIDQ4996829

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Publication date: 1 July 2021

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/nmtma.oa-2019-0201

zbMATH Keywords

finite element methodoptimal control problema priori error estimatestate constraintspace fractional equation

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Error bounds for boundary value problems involving PDEs (65N15) Fractional derivatives and integrals (26A33) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) A priori estimates in context of PDEs (35B45) Existence theories for optimal control problems involving partial differential equations (49J20) Toeplitz, Cauchy, and related matrices (15B05) Fractional partial differential equations (35R11) PDE constrained optimization (numerical aspects) (49M41)

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A Priori Error Estimates for Spectral Galerkin Approximations of Integral State-Constrained Fractional Optimal Control Problems ⋮ Finite element approximation of time fractional optimal control problem with integral state constraint ⋮ Error analysis of spectral approximation for space-time fractional optimal control problems with control and state constraints ⋮ An efficient and accurate numerical method for the fractional optimal control problems with fractional Laplacian and state constraint ⋮ A two-layer Crank-Nicolson linear finite element methods for second-order hyperbolic optimal control problems ⋮ Finite element approximation of optimal control problem with integral fractional Laplacian and state constraint

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