Error Analysis and Simulation of Galerkin Spectral Approximation for Flow Optimal Control with State Constraint. (4th July 2018)

• Record Type: Journal Article
• Authors: Li, Dingfang; Huang, Fenglin; Shi, Xiulian
• Is Part Of: Numerical functional analysis and optimization. Volume 39:Number 9(2018)
• Page Start: 967
• Page End: 989
• Publication Date: 2018-07-04
• Subjects: Legendre polynomials -- optimal control -- spectral method -- state constraint -- stokes equations; 49J20 -- 65N35; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2018.1446981
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: We investigate the spectral approximation of optimal control governed by Stokes equations with integral state constraint. A good choice for basis functions leads the discrete system with sparse matrices. The optimality conditions are derived, a priori and a posteriori error estimates are presented in both H 1 and L 2 norms. Numerical experiment indicates the high precision can be achieved with the proposed method.