A Priori and a Posteriori Error Analysis for Generic Linear Elliptic Problems

  • Hala Raad
  • Mohammad Sabawi

Abstract

In this paper, a priori error analysis has been examined for the continuous Galerkin finite element method which is used for solving a generic scalar and a generic system of linear elliptic equations. We derived optimal order a priori error bounds in (energy) norm utilising standard a priori error analysis techniques and tools. Also, a posteriori error analysis is investigated for a generic scalar linear elliptic equation and for a generic system of linear elliptic equations. We derived optimal residual-based a posteriori error estimates energy technique in  norm


 


http://dx.doi.org/10.25130/tjps.27.2022.025  


 

Published
Jun 2, 2022
How to Cite
RAAD, Hala; SABAWI, Mohammad. A Priori and a Posteriori Error Analysis for Generic Linear Elliptic Problems. Tikrit Journal of Pure Science, [S.l.], v. 27, n. 2, p. 57-64, june 2022. ISSN 2415-1726. Available at: <https://tjps.tu.edu.iq/index.php/j/article/view/1284>. Date accessed: 04 july 2022. doi: http://dx.doi.org/10.25130/j.v27i2.1284.
Section
Articles