Lower Bounds for Eigenvalues of the Stokes Operator

Publisher: Cambridge University Press

E-ISSN: 2075-1354|5|1|1-18

ISSN: 2070-0733

Source: Advances in Applied Mathematics and Mechanics, Vol.5, Iss.1, 2013-02, pp. : 1-18

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

Abstract

In this paper, we propose a condition that can guarantee the lower bound property of the discrete eigenvalue produced by the finite element method for the Stokes operator. We check and prove this condition for four nonconforming methods and one conforming method. Hence they produce eigenvalues which are smaller than their exact counterparts.