期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

A POSTERIORI ERROR ESTIMATE OF FINITE ELEMENT METHOD FOR THE OPTIMAL CONTROL WITH THE STATIONARY BENARD PROBLEM

A POSTERIORI ERROR ESTIMATE OF FINITE ELEMENT METHOD FOR THE OPTIMAL CONTROL WITH THE STATIONARY BENARD PROBLEM
原文传递
导出
摘要 In this paper, we consider the adaptive finite element approximation for the distributed optimal control associated with the stationary Benard problem under the pointwise control constraint. The states and co-states are approximated by polynomial functions of lowest- order mixed finite element space or piecewise linear functions and control is approximated by piecewise constant functions. We give the a posteriori error estimates for the control, the states and co-states. In this paper, we consider the adaptive finite element approximation for the distributed optimal control associated with the stationary Benard problem under the pointwise control constraint. The states and co-states are approximated by polynomial functions of lowest- order mixed finite element space or piecewise linear functions and control is approximated by piecewise constant functions. We give the a posteriori error estimates for the control, the states and co-states.
作者 Yanzhen Chang Danping Yang
机构地区 Department of Mathematics Department of Mathematics
出处 《Journal of Computational Mathematics》 SCIE CSCD 2013年第1期68-87,共20页 计算数学（英文）
关键词 Optimal control problem Stationary Benard problem Nonlinear coupled sys-tem A posteriori error estimate. Optimal control problem, Stationary Benard problem, Nonlinear coupled sys-tem, A posteriori error estimate.
分类号 O241.82 [理学—计算数学] O232 [理学—运筹学与控制论]
  • 相关文献

参考文献1

二级参考文献30

  • 1F. Abergel and F. Casas, Some optimal control problems of multistate equations appearing in fluid mechanics, Math. Modelling Numer. Anal., 27 (1993), 223-247.
  • 2G.V. Alekseev, Solvability of stationary boundary control problems for heat convection equations, Siberion Math. J., 39 (1998), 844-858.
  • 3N. Arada, E. Casas and F. TrSltzsch~ Error estimate for a semilinear elliptic optimal control problem, Comput. Optim. Approx., 23 (2002), 201-229.
  • 4F. Brezzi, J. Rappaz and P.A. Raviart,Finite-dimensional approximation of nonlinear problem. Part I: branches of nonsingular solutions,Numer. Math, 36 (1980), 1-25.
  • 5E. Casas,M. Mateos and F. TrSltzsch, Error estimate for the numerical approximation of boundary semilinear elliptic control problem, Comput. Optim. Appl., 31 (2005), 193-219.
  • 6E. Casas, M. Mateos and F. Troltzsch, Necessary and sufficient optimality conditions for optimization problems in function spaces and applications to control theory, ESIAM, Proceedings, 13 (2003), 18-30.
  • 7E. Casas and F. Troltzsch, Error estimates for linear-quadratic elliptic control problems, Ana. Optim. of Diff. Syst., (2003), 89-100.
  • 8M. Crouzeix and P.A. Raviart, Conforming and non-conforming finite element methods for solving the stationary Stokes equations, RAIRO, 3 (1973), 33-76.
  • 9P. Cuvelier, Optimal control of a system governed by the Navier-Stokes equations coupled with the heat equations, New Dev. Diff. Equ., (1976), 81-98.
  • 10R. Falk, Approximation of a class of optimal control problems with order of convergence estimates, J. Math. Anal. Appl., 44 (1973), 28-47.

共引文献3

Journal of Computational Mathematics
2013年 第1期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部