Error analysis of Crouzeix-Raviart and Raviart-Thomas finite element methods
Numerical Analysis
2018-10-29 v2
Abstract
We discuss the error analysis of the lowest degree Crouzeix-Raviart and Raviart-Thomas finite element methods applied to a two-dimensional Poisson equation. To obtain error estimations, we use the techniques developed by Babu\v{s}ka-Aziz and the authors. We present error estimates in terms of the circumradius and the diameter of triangles in which the constants are independent of the geometric properties of the triangulations. Numerical experiments confirm the results obtained.
Keywords
Cite
@article{arxiv.1712.06242,
title = {Error analysis of Crouzeix-Raviart and Raviart-Thomas finite element methods},
author = {Kenta Kobayashi and Takuya Tsuchiya},
journal= {arXiv preprint arXiv:1712.06242},
year = {2018}
}
Comments
To appear in Japan Journal of Industrial and Applied Mathematics