Explicit Error Estimates for Courant, Crouzeix-Raviart and Raviart-Thomas Finite Element Methods

Carsten Carstensen, Joscha Gedicke, Donsub Rim
2012 Journal of Computational Mathematics  
The elementary analysis of this paper presents explicit expressions of the constants in the a priori error estimates for the lowest-order Courant, Crouzeix-Raviart nonconforming and Raviart-Thomas mixed finite element methods in the Poisson model problem. The three constants and their dependences on some maximal angle in the triangulation are indeed all comparable and allow accurate a priori error control.
doi:10.4208/jcm.1108-m3677 fatcat:7ghjarh54vfutje7qex7ver5vi