A Legendre Galerkin spectral method for optimal control problems
type: Item
instance of: scholarly article
title: A Legendre Galerkin spectral method for optimal control problems
zbMATH Open document ID: 1256.49035
author: Yanping Chen
author: Nianshi Xia
author: Nianyu Yi
published in: Journal of Systems Science and Complexity
publication date: 2013-01-31T00:00:00Z
Mathematics Subject Classification ID: 49M25
Mathematics Subject Classification ID: 35Q93
zbMATH DE Number: 6133197
zbMATH Keywords: Legendre-Galerkin spectral method
zbMATH Keywords: optimal control
zbMATH Keywords: fast-Legendre transform
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: s11424-011-8016-5
OpenAlex ID: W2007796402
cites work: Q4039908
cites work: Spectral Methods and Their Applications
cites work: Spectral Methods
cites work: Spectral Methods in MATLAB
cites work: A posteriori error estimates for distributed convex optimal control problems
cites work: A posteriori error estimates for optimal control problems governed by parabolic equations
cites work: ERROR ESTIMATES IN THE APPROXIMATION OF OPTIMIZATION PROBLEMS GOVERNED BY NONLINEAR OPERATORS
cites work: Superconvergence of mixed finite element methods for optimal control problems
cites work: A posteriori error estimates for mixed finite element solutions of convex optimal control problems
cites work: Q5479945
cites work: Q5476384
cites work: Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
cites work: On Direct Methods for Solving Poisson’s Equations
cites work: The accurate solution of Poisson's equation by expansion in Chebyshev polynomials
cites work: Finite-Dimensional Approximation of a Class of Constrained Nonlinear Optimal Control Problems
cites work: Q4162607
DOI: 10.1007/S11424-011-8016-5
Recommended article: A Legendre–Galerkin Spectral Method for Optimal Control Problems Governed by Elliptic Equations
Recommended article: A Legendre–Galerkin Spectral Method for Optimal Control Problems Governed by Stokes Equations
Recommended article: Legendre-Galerkin spectral methods for optimal control problems with integral constraint for state in one dimension
Recommended article: Q5260099
Recommended article: The pseudospectral Legendre method for discretizing optimal control problems
Recommended article: A priori and posteriori error estimates of Legendre Galerkin spectral methods for general elliptic optimal control problems
Recommended article: Galerkin spectral approximation of optimal control problems with \(L^2\)-norm control constraint
Recommended article: Galerkin spectral method for elliptic optimal control problem with \(L^2\)-norm control constraint
Recommended article: Q3069292
Recommended article: Galerkin spectral methods for an elliptic optimal control problem with \(L^2\)-norm state constraint
description: scientific article; zbMATH DE number 6133197