scholarly journals A Priori Error Estimates for the Optimal Control of the Integral Fractional Laplacian

2019 ◽  
Vol 57 (4) ◽  
pp. 2775-2798 ◽  
Author(s):  
Marta D'Elia ◽  
Christian Glusa ◽  
Enrique Otárola
Keyword(s):  
Optimal Control ◽  
Error Estimates ◽  
Fractional Laplacian ◽  
A Priori ◽  
A Priori Error Estimates ◽  
Priori Error Estimates

A Priori Error Estimates of Finite Element Methods for Linear Parabolic Integro-Differential Optimal Control Problems

2014 ◽  
Vol 6 (5) ◽  
pp. 552-569 ◽  
Author(s):  
Wanfang Shen ◽  
Liang Ge ◽  
Danping Yang ◽  
Wenbin Liu
Keyword(s):  
Optimal Control ◽  
Finite Element ◽  
Error Estimates ◽  
A Priori ◽  
Mathematical Formulation ◽  
Finite Element Approximation ◽  
A Priori Error Estimates ◽  
Element Approximation ◽  
Weak Formulation ◽  
Priori Error Estimates

AbstractIn this paper, we study the mathematical formulation for an optimal control problem governed by a linear parabolic integro-differential equation and present the optimality conditions. We then set up its weak formulation and the finite element approximation scheme. Based on these we derive the a priori error estimates for its finite element approximation both in H1 and L2 norms. Furthermore some numerical tests are presented to verify the theoretical results.

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