Salim Meddahi, David Mora, Rodolfo Rodríguez:
A finite element analysis of a pseudostress formulation for the Stokes eigenvalue problem
In this paper we analyze a finite element approximation of the Stokes eigenvalue problem. We present a variational formulation of the problem relying only on the pseudostress tensor. We present an H(div)-conforming discretization of the problem by means of the lowest order Brezzi-Douglas-Marini mixed finite element. We show that the resulting scheme provides a correct approximation of the spectrum and prove quasi-optimal error estimates. Finally, we present some numerical experiments supporting our theoretical results.
This preprint gave rise to the following definitive publication(s):
Salim MEDDAHI, David MORA, Rodolfo RODRíGUEZ: A finite element analysis of a pseudostress formulation for the Stokes eigenvalue problem. IMA Journal of Numerical Analysis, vol. 35, 2, pp. 749-766, (2015).