A priori and a posteriori error estimates of finite-element approximations for elliptic optimal control problem with measure data

2018 ◽  
Vol 40 (2) ◽  
pp. 241-264
Author(s):  
Pratibha Shakya ◽  
Rajen Kumar Sinha
Keyword(s):  
Optimal Control ◽  
A Priori ◽  
A Posteriori Error Estimates ◽  
Posteriori Error ◽  
Measure Data ◽  
A Posteriori ◽  
A Posteriori Error ◽  
Finite Element Approximations ◽  
Elliptic Optimal Control Problem ◽  
Elliptic Optimal Control

scholarly journals A Priori and A Posteriori Error Estimates for a Crank Nicolson Type Scheme of an Elliptic Problem with Dynamical Boundary Conditions

2016 ◽  
Vol 8 (2) ◽  
pp. 1
Author(s):  
Rola Ali Ahmad ◽  
Toufic El Arwadi ◽  
Houssam Chrayteh ◽  
Jean-Marc Sac-Epee
Keyword(s):  
Error Estimates ◽  
A Priori ◽  
A Posteriori Error Estimates ◽  
Time Discretization ◽  
Posteriori Error ◽  
A Posteriori ◽  
A Posteriori Error ◽  
Dynamical Boundary Conditions ◽  
Error Indicators ◽  
Crank Nicolson

In this article we claim that we are going to give a priori and a posteriori error estimates for a Crank Nicolson type scheme. The problem is discretized by the finite elements in space. The main result of this paper consists in establishing two types of error indicators, the first one linked to the time discretization and the second one to the space discretization.

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