TY - JOUR T1 - Explicit Error Estimates for Courant, Crouzeix-Raviart and Raviart-Thomas Finite Element Methods 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 -

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.