TY - JOUR
T1 - Explicit Error Estimates for Courant, Crouzeix-Raviart and Raviart-Thomas Finite Element Methods
AU - Carsten Carstensen, Joscha Gedicke & Donsub Rim
JO - Journal of Computational Mathematics
VL - 4
SP - 337
EP - 353
PY - 2012
DA - 2012/08
SN - 30
DO - http://doi.org/10.4208/jcm.1108-m3677
UR - https://global-sci.org/intro/article_detail/jcm/8435.html
KW - Error estimates, Conforming, Nonconforming, Mixed, Finite element method.
AB - <p style="text-align: justify;">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.</p>