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The Crouzeix-Raviart type nonconforming finite element method for the nonstationary Navier-Stokes equations on anisotropic meshes

The Crouzeix-Raviart type nonconforming finite element method for the nonstationary Navier-Stokes... This paper is devoted to study the Crouzeix-Raviart (C-R) type nonconforming linear triangular finite element method (FEM) for the nonstationary Navier-Stokes equations on anisotropic meshes. By introducing auxiliary finite element spaces, the error estimates for the velocity in the L 2-norm and energy norm, as well as for the pressure in the L 2-norm are derived. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

The Crouzeix-Raviart type nonconforming finite element method for the nonstationary Navier-Stokes equations on anisotropic meshes

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References (30)

Publisher
Springer Journals
Copyright
Copyright © 2014 by Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-014-0274-2
Publisher site
See Article on Publisher Site

Abstract

This paper is devoted to study the Crouzeix-Raviart (C-R) type nonconforming linear triangular finite element method (FEM) for the nonstationary Navier-Stokes equations on anisotropic meshes. By introducing auxiliary finite element spaces, the error estimates for the velocity in the L 2-norm and energy norm, as well as for the pressure in the L 2-norm are derived.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Apr 26, 2014

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