Error Analysis and Simulation of Galerkin Spectral Approximation for Flow Optimal Control with State Constraint

DOI10.1080/01630563.2018.1446981zbMath1448.65254OpenAlexW2792807735MaRDI QIDQ5745177

Xiulian Shi, Fenglin Huang, Dingfang Li

Publication date: 5 June 2018

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2018.1446981

zbMATH Keywords

optimal controlspectral methodStokes equationsLegendre polynomialsstate constraint

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Spectral methods applied to problems in fluid mechanics (76M22) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Navier-Stokes equations (35Q30) Finite element methods applied to problems in fluid mechanics (76M10) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25) Flow control and optimization for incompressible viscous fluids (76D55)

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