Space-time a posteriori error analysis of finite element approximation for parabolic optimal control problems: A reconstruction approach

Manohar Ram; Kumar Sinha Rajen

首页> 外文期刊>Optimal Control Applications and Methods >Space-time a posteriori error analysis of finite element approximation for parabolic optimal control problems: A reconstruction approach

【24h】

Space-time a posteriori error analysis of finite element approximation for parabolic optimal control problems: A reconstruction approach

机译：空间时间对抛物线最优控制问题有限元近似的后验误差分析：重构方法

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

We derive space-time a posteriori error estimates of finite element method for linear parabolic optimal control problems in a bounded convex polygonal domain. To discretize the control problem, we use piecewise linear and continuous finite elements for the approximations of the state and costate variables, whereas piecewise constant functions are employed for the control variable. The temporal discretization is based on the backward Euler implicit scheme. An elliptic reconstruction technique in conjunction with energy argument is used to derive a posteriori error estimates for the state, costate, and control variables in theL(infinity)(0,T;L-2(omega))-norm. Moreover, numerical experiments are performed to illustrate the performance of the derived estimators.

机译：None

著录项

来源
《Optimal Control Applications and Methods》 |2020年第5期|共25页
作者
Manohar Ram; Kumar Sinha Rajen;
展开▼
作者单位

Indian Inst Technol Guwahati Dept Math Gauhati 781039 India;

Indian Inst Technol Guwahati Dept Math Gauhati 781039 India;

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
a posteriori error estimates; backward-Euler scheme; elliptic reconstruction; finite element method; parabolic optimal control problem;

机译：后验误差估计;后向欧拉方案;椭圆重建;有限元方法;抛物线最优控制问题;

相似文献

外文文献
中文文献
专利

1. A Priori and A Posteriori Error Estimates of Streamline Diffusion Finite Element Method for Optimal Control Problem Governed by Convection Dominated Diffusion Equation [J] . Ningning Yan, Zhaojie Zhou 高等学校计算数学学报（英文版） . 2008,第003期
2. Finite Element Approximation of Semilinear Parabolic Optimal Control Problems [J] . Hongfei Fu, Hongxing Rui 高等学校计算数学学报（英文版） . 2011,第004期
3. A Priori Error Estimate of Splitting Positive Definite Mixed Finite Element Method for Parabolic Optimal Control Problems [J] . Hongfei Fu, Hongxing Rui, Jiansong Zhang, 高等学校计算数学学报（英文版） . 2016,第002期
4. A posteriori error analysis for finite element approximations of parabolic optimal control problems with measure data [J] . Shakya Pratibha, Sinha Rajen Kumar Applied numerical mathematics . 2019,第FEBa期

机译：带测量数据的抛物线型最优控制问题的有限元逼近的后验误差分析
5. A posteriori error analysis of the Crank-Nicolson finite element method for linear parabolic interface problems: A reconstruction approach [J] . Sen Gupta Jhuma, Sinha Rajen Kumar, Reddy Gujji Murali Mohan, Journal of Computational and Applied Mathematics . 2018,第期

机译：线性抛物面界面问题曲柄 - 尼古尔森有限元方法的后验误差分析：重构方法
6. A PRIORI ERROR ANALYSIS FOR FINITE ELEMENT APPROXIMATION OF PARABOLIC OPTIMAL CONTROL PROBLEMS WITH POINTWISE CONTROL [J] . WEI GONG, MICHAEL HINZE, ZHAOJIE ZHOU SIAM Journal on Control and Optimization . 2014,第1期

机译：具有POINTWISE控制的抛物型最优控制问题的有限元逼近的先验误差分析。
7. A Posteriori $L_{infty}(H^{1})$ Error Bound in Finite Element Approximation of Semdiscrete Semilinear Parabolic Problems [C] . Younis A. Sabawi International Conference of Computer and Applied Sciences . 2019

机译：Beileiri $ l _ { infty}（h ^ {1}）$ 在Semdiscrete半线性抛物面问题的有限元近似下绑定的错误
8. Analysis and finite element approximations of parabolic saddle point problems with applications to optimal control. [D] . Chrysafinos, Konstantinos. 2002

机译：抛物线鞍点问题的分析和有限元逼近，并应用于最优控制。
9. Error analysis for discretizations of parabolic problems using continuous finite elements in time and mixed finite elements in space [O] . Markus Bause, Florin A. Radu, Uwe Köcher -1

机译：使用时间连续有限元和空间混合有限元对抛物线问题离散化的误差分析
10. A Posteriori Error Analysis in Finite Element Approximation for Fully Discrete Semilinear Parabolic Problems [O] . Younis Abid Sabawi 2020

机译：完全离散半线性抛物面问题有限元近似下的后验误差分析
11. Second-Order Finite Element Approximations and a Posteriori Error Estimation for Two-Dimensional Parabolic Systems [R] . Adjerid, S., Flaherty, J. E. 1988

机译：二维抛物型方程组的二阶有限元逼近和后验误差估计

Space-time a posteriori error analysis of finite element approximation for parabolic optimal control problems: A reconstruction approach

摘要

著录项

相似文献

相关主题

期刊订阅