A priori error estimates of mixed finite element methods for nonlinear quadratic convex optimal control problem

2008 ◽  
Author(s):  
H. W. Zhang ◽  
Z. L. Lu
Keyword(s):  
Optimal Control ◽  
Finite Element ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Error Estimates ◽  
Finite Element Methods ◽  
Mixed Finite Element ◽  
A Priori ◽  
Mixed Finite Element Methods ◽  
Priori Error Estimates

scholarly journals A Priori Error Estimates of Mixed Finite Element Methods for General Linear Hyperbolic Convex Optimal Control Problems

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Zuliang Lu ◽  
Xiao Huang
Keyword(s):  
Optimal Control ◽  
Finite Element ◽  
Error Estimates ◽  
Finite Element Methods ◽  
Optimal Control Problems ◽  
Mixed Finite Element ◽  
A Priori ◽  
Mixed Finite Element Methods ◽  
Control Problems ◽  
Priori Error Estimates

The aim of this work is to investigate the discretization of general linear hyperbolic convex optimal control problems by using the mixed finite element methods. The state and costate are approximated by thekorder (k≥0) Raviart-Thomas mixed finite elements and the control is approximated by piecewise polynomials of orderk. By applying the elliptic projection operators and Gronwall’s lemma, we derive a priori error estimates of optimal order for both the coupled state and the control approximation.

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