Year: 2019
Author: Mattia Penati, Edie Miglio
Journal of Mathematical Study, Vol. 52 (2019), Iss. 3 : pp. 299–319
Abstract
In this paper, we develop and analyze a mixed finite element method for the Stokes flow. This method is based on a stress-velocity-vorticity formulation. A new discretization is proposed: the stress is approximated using the Raviart-Thomas elements, the velocity and the vorticity by piecewise discontinuous polynomials. It is shown that if the orders of these spaces are properly chosen then the advocated method is stable. We derive error estimates for the Stokes problem, showing optimal accuracy for both the velocity and vorticity.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v52n3.19.05
Journal of Mathematical Study, Vol. 52 (2019), Iss. 3 : pp. 299–319
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: Mixed finite element Stokes equations Raviart-Thomas incompressible fluids.