Eventi
25 Gennaio, 2016 11:30
MOX Seminar
A new mixed method for the Stokes flow based on stress-velocity-vorticity formulation
Mattia Penati, Politecnico di Milano Dipartimento di Matematica-MOX
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
Seminari Matematici al
Politecnico di Milano
- Analisi
- Cultura Matematica
- Seminari FDS
- Geometria e Algebra
- Probabilità e Statistica Matematica
- Probabilità Quantistica