A new mixed method for the Stokes flow based on stress-velocity-vorticity formulation
Speaker:
Mattia Penati
Affiliation:
Politecnico di Milano Dipartimento di Matematica-MOX
When:
Monday 25th January 2016
Time:
11:30:00
Where:
Aula Seminari Saleri VI Piano MOX-Dipartimento di Matematica, Politecnico di Milano
Abstract:
In this work, 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 variable is approximated by the Raviart-Thomas elements and the velocity and the vorticity by piecewise discontinuous polynomials. It is shown that if the orders of these spaces are choosen properly then this method is stable. We derive new error
estimates for this problem, showing that the optimal accurancy for both the velocity and vorticity yield.
contact:
paola.antonietti@polimi.it
nicola.parolini@polimi.it
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