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

Authors

  • Carsten Carstensen, Joscha Gedicke & Donsub Rim

DOI:

https://doi.org/10.4208/jcm.1108-m3677

Keywords:

Error estimates, Conforming, Nonconforming, Mixed, Finite element method.

Abstract

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.

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Published

2018-08-22

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Issue

Vol. 30 No. 4 (2012)

Section

Articles

How to Cite

Explicit Error Estimates for Courant, Crouzeix-Raviart and Raviart-Thomas Finite Element Methods. (2018). Journal of Computational Mathematics, 30(4), 337-353. https://doi.org/10.4208/jcm.1108-m3677