A Posteriori Error Estimates for Distributed Convex Optimal Control Problems
作者： Wenbin Liu , Ningning Yan
关键词: Regular polygon 、 Approximation error 、 Mixed finite element method 、 Mathematical optimization 、 Finite element method 、 Optimal control 、 A priori and a posteriori 、 Error analysis 、 Mathematics 、 State (functional analysis)
摘要: … approximation of distributed convex optimal control problems. … interested in is the following convex optimal control problem: … approximation of distributed convex optimal control problems…
springer.com
kent.ac.uk
sci-hub.se 参考文章(41)
M. D. Gunzburger, L. S. Hou, Th. P. Svobodny, Analysis and finite element approximation of optimal control problems for the stationary Navier-Stokes equations with Dirichlet controls Mathematical Modelling and Numerical Analysis. ,vol. 25, pp. 711- 748 ,(1991) , 10.1051/M2AN/1991250607111
Tunc Geveci, On the approximation of the solution of an optimal control problem governed by an elliptic equation ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique. ,vol. 13, pp. 313- 328 ,(1979) , 10.1051/M2AN/1979130403131
Fredi Tr�ltzsch, Semidiscrete Ritz-Galerkin approximation of nonlinear parabolic boundary control problems?Strong convergence of optimal controls Applied Mathematics & Optimization. ,vol. 29, pp. 309- 329 ,(1994) , 10.1007/BF01189480
P. Neittaanmäki, J Haslinger, Finite Element Approximation for Optimal Shape Design: Theory and Applications ,(1989)
P. Neittaanmäki, Dan Tiba, Optimal control of nonlinear parabolic systems : theory, algorithms, and applications M. Dekker. ,(1994)
Wenbin Liu, Heping Ma, Tao Tang, On Mixed Error Estimates for Elliptic Obstacle Problems Advances in Computational Mathematics. ,vol. 15, pp. 261- 283 ,(2001) , 10.1023/A:1014261013164
Olivier Pironneau, Optimal Shape Design for Elliptic Systems ,(1983)
Wenbin Liu, Ningning Yan, A Posteriori Error Estimators for a Class of Variational Inequalities Journal of Scientific Computing. ,vol. 15, pp. 361- 393 ,(2000) , 10.1023/A:1011130501691
Ricardo Dur�n, Mar�a Amelia Muschietti, Rodolfo Rodr�guez, On the asymptotic exactness of error estimators for linear triangular finite elements Numerische Mathematik. ,vol. 59, pp. 107- 127 ,(1991) , 10.1007/BF01385773
Wenbin Liu, Ningning Yan, Local A Posteriori Error Estimates for Convex Boundary Control Problems SIAM Journal on Numerical Analysis. ,vol. 47, pp. 1886- 1908 ,(2009) , 10.1137/070680576