位置：成果数据库 > 期刊 > 期刊详情页
A Legendre Galerkin spectral method for optimal control problems
  • ISSN号：1009-6124
  • 期刊名称：Journal of Systems Science and Complexity
  • 时间：0
  • 页码：663-671
  • 分类：O232[理学—运筹学与控制论;理学—数学] TM15[电气工程—电工理论与新技术]
  • 作者机构：[1]School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China., [2]The Faculty of Mathematics, Chengyi College, Jimei University, Xiamen 361021, China., [3]Hunan Key Laboratory for Computation and Simulation in Science and Engineering, School of Mathematicsand Computational Science, Xiangtan University, Xiangtan 411105, China.
  • 相关基金：This work is supported by the Foundation for Talent Introduction of Guangdong Provincial University, Guang dong Province Universities and Colleges Pearl River Scholar Funded Scheme （2008）, and the National Natural Science Foundation of China under Grant No. 10971074.
  • 相关项目：最优控制问题自适应混合有限元方法
作者： Chen, Yanping|Xia, Nianshi|Yi, Nianyu|
关键词： 最优控制问题, GALERKIN, LEGENDRE变换, 后验误差估计, 刚度矩阵, 离散方程, 数值实验, 谱逼近, Legendre-Galerkin, optimal control, spectral method.
中文摘要：

这份报纸认为 Legendre 是 Galerkin 光谱为非强迫的最佳的控制问题的近似。作者导出 posteriori 错误估计为光谱最佳的控制的近似计划问题。由选择适当基础功能， discretization 方程的生硬矩阵是稀少的。并且作者使用快 Legendre 变换改进这个方法的效率。表明我们的理论结果的二个数字实验被介绍。

英文摘要：

This paper considers the Legendre Galerkin spectral approximation for the unconstralnea optimal control problems. The authors derive a posteriori error estimate for the spectral approximation scheme of optimal control problem. By choosing the appropriate basis functions, the stiff matrix of the discretization equations is sparse. And the authors use the Fast Legendre Transform to improve the efficiency of this method. Two numerical experiments demonstrating our theoretical results are presented.

同期刊论文项目
最优控制问题自适应混合有限元方法
期刊论文 40 会议论文 1
同项目期刊论文
Two-Grid Method for Nonlinear Reaction-Diffusion Equations by Mixed Finite Element Methods
Error estimates of triangular mixed finite element methods for quasilinear optimal control problems
Superconvergence of a combined mixed finite element and discontinuous Galerkin approximation for an
L-infinity-ESTIMATES OF MIXED FINITE ELEMENT METHODS FOR GENERAL NONLINEAR OPTIMAL CONTROL PROBLEMS
Superconvergence of triangular mixed finite elements for optimal control problems with an integral c
Superconvergence of Mixed Methods for Optimal Control Problems Governed by Parabolic Equations
Superconvergence and L-infinity-Error Estimates of RT1 Mixed Methods for Semilinear Elliptic Control
Convergence Analysis of the Spectral Methods for Weakly Singular Volterra Integro-Differential Equat
A Posteriori Error Estimates of Mixed Methods for Quadratic Optimal Control Problems Governed by Par
A posteriori error estimates for hp finite element solutions of convex optimal control problems
Convergence Analysis of the Legendre Spectral Collocation Methods for Second Order Volterra Integro-
Superconvergence of a combined mixed finite element and discontinuous Galerkin method for a compress
SUPERCONVERGENCE PROPERTY OF FINITE ELEMENT METHODS FOR PARABOLIC OPTIMAL CONTROL PROBLEMS
Error estimates for parabolic optimal control problem by fully discrete mixed finite element methods
A POSTERIORI ERROR ESTIMATES OF MIXED METHODS FOR PARABOLIC OPTIMAL CONTROL PROBLEMS
CONVERGENCE ANALYSIS OF THE JACOBI SPECTRAL-COLLOCATION METHODS FOR VOLTERRA INTEGRAL EQUATIONS WITH
A LEGENDRE-GALERKIN SPECTRAL METHOD FOR OPTIMAL CONTROL PROBLEMS GOVERNED BY STOKES EQUATIONS
Polynomial spline approach for solving second-order boundary-value problems with Neumann conditions
Numericical methods for constrained elliptic optimal control problmes with rapidly oscillating coeff
Higher Order Triangular Mixed Finite Element Methods for Semi linear Quadratic Optimal Control Probl
Two improved algorithms and implementation for a singularly perturbed problem on moving meshes
A PRIORI ERROR ESTIMATES OF A COMBINED MIXED FINITE ELEMENT AND DISCONTINUOUS GALERKIN METHOD FOR CO
A posteriori error analysis for a fully discrete discontinuous Galerkin approximation to a kind of r
Recovery Type A Posteriori Error Estimates of Fully Discrete Finite Element Methods for General Conv
RICHARDSON EXTRAPOLATION AND DEFECT CORRECTION OF MIXED FINITE ELEMENT METHODS FOR ELLIPTIC OPTIMAL
Legendre Spectral Collocation Methods for Pantograph Volterra Delay-Integro-Differential Equations
Electronic Transport in a New Type Nano-Junction: Carbon Atomic Chain Inserted Into a Carbon Nanotub
一类椭圆最优控制问题的最大模估计
半线性椭圆最优控制问题的最优性
Neumann边界控制问题在无界区域的解的存在性
期刊信息
  • 《系统科学与复杂性学报：英文版》
  • 主管单位:中国科学院
  • 主办单位:中国科学院系统科学研究所
  • 主编：
  • 地址：北京东黄城根北街16号
  • 邮编：100080
  • 邮箱：
  • 电话：010-62541831 62541834
  • 国际标准刊号：ISSN：1009-6124
  • 国内统一刊号：ISSN：11-4543/O1
  • 邮发代号:82-545
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,美国工程索引,美国科学引文索引（扩展库）,英国科学文摘数据库
  • 被引量:125