Adaptive mesh refinement method for optimal control using nonsmoothness detection and mesh size reduction
type: Item
instance of: scholarly article
title: Adaptive mesh refinement method for optimal control using nonsmoothness detection and mesh size reduction
zbMATH Open document ID: 1395.93303
author: Fengjin Liu
author: William Hager
author: Anil V. Rao
published in: Journal of the Franklin Institute
publication date: 2018-08-16T00:00:00Z
Mathematics Subject Classification ID: 93C40
Mathematics Subject Classification ID: 49N90
zbMATH DE Number: 6919038
zbMATH Keywords: adaptive mesh refinement
zbMATH Keywords: optimal control
zbMATH Keywords: nonsmoothness detection
zbMATH Keywords: mesh size reduction
describes a project that uses: SOCS
describes a project that uses: GPOPS
describes a project that uses: Matlab
describes a project that uses: Chebfun
MaRDI profile type: Publication
full work available at URL: j.jfranklin.2015.05.028
OpenAlex ID: W325655953
cites work: SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization
cites work: The pseudospectral Legendre method for discretizing optimal control problems
cites work: Q4345580
cites work: Connections between the covector mapping theorem and convergence of pseudospectral methods for optimal control
cites work: Algorithm 902
cites work: Direct trajectory optimization and costate estimation of finite-horizon and infinite-horizon optimal control problems using a Radau pseudospectral method
cites work: A unified framework for the numerical solution of optimal control problems using pseudospectral methods
cites work: Pseudospectral methods for solving infinite-horizon optimal control problems
cites work: Convergence rates for direct transcription of optimal control problems using collocation at Radau points
cites work: An hp‐adaptive pseudospectral method for solving optimal control problems
cites work: Costate approximation in optimal control using integral Gaussian quadrature orthogonal collocation methods
cites work: Aphmesh refinement method for optimal control
cites work: Q4039908
cites work: Q4231113
cites work: Spectral Methods in MATLAB
cites work: Variable resolution discretization in optimal control
cites work: An adaptive grid scheme for the discrete Hamilton-Jacobi-Bellman equation
cites work: Goal‐oriented space–time adaptivity in the finite element Galerkin method for the computation of nonstationary incompressible flow
cites work: The p- and h-p versions of the finite element method. An overview
cites work: Thepandh-pVersions of the Finite Element Method, Basic Principles and Properties
cites work: The h, p and h-p versions of the finite element method in 1 dimension. I. The error analysis of the p-version
cites work: The h, p and h-p versions of the finite element method in 1 dimension. II. The error analysis of the h- and h-p versions
cites work: The h, p and h-p versions of the finite element method in 1 dimension. III. The adaptive h-p version
cites work: Piecewise-smooth chebfuns
cites work: An Extension of MATLAB to Continuous Functions and Operators
cites work: Eigenvector approximate dichotomic basis method for solving hyper-sensitive optimal control problems
cites work: GPOPS-II
DOI: 10.1016/J.JFRANKLIN.2015.05.028
description: scientific article; zbMATH DE number 6919038