Work

An optimal nonconforming finite element method for the Stokes equations

Year: 2018

Type: preprint

Abstract: In this paper, we propose and develop an optimal nonconforming finite element method for the Stokes equations approximated by the Crouzix-Raviart element for velocity and the continuous linear element for pressure. Previous result in using the stabilization method for this finite element pair is improved and then proven to be stable. Then, optimal order error estimate is obtained and numerical results show the accuracy and robustness of the method.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1807.03187

Author: Li, Jian

Institutions: Baoji University of Arts and Sciences, Shaanxi University of Science and Technology

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, National Natural Science Foundation of China

OpenAlex ID: W2855016263

Cites: 4

Cited by:

Related to: 10