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Instituto de Matemática

 
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Evento: 'PALESTRA: Prof. MICHELE BENZI (Emory University, USA)'

Eventos PESC (Palestras, Seminários, etc.)
Palestras, Seminários, etc. do PESC/COPPE/UFRJ.
Data: Friday, September 24, 2010 At 10:00
Duração: 2 Horas

PALESTRA: Prof. MICHELE BENZI (Emory University, USA)

Data: sexta, 24/09/2010
Local: sala G-122 do Centro de Tecnologia-COPPE-UFRJ, Ilha do Fundão
Horário: 10h00
Responsável: Nelson Maculan


TÍTULO: Preconditioners for stabilized finite element discretizations of the steady incompressible Navier-Stokes equations

Michele Benzi (Emory University, USA)
http://www.mathcs.emory.edu/~benzi/

RESUMO: In this talk I will discuss block preconditioners for stabilized saddle point systems arising from incompressible flow problems.

The main focus is on block triangular preconditioners based on the augmented Lagrangian formulation. These techniques have been shown to be remarkably robust and effective when applied to linear systems arising from inf-sup stable mixed finite element discretizations of the Stokes and Oseen problems. Indeed, I will show both theoretically and experimentally that with an appropriate choice of the augmentation parameter these preconditioners result in rates of convergence that are independent of the mesh size and only mildly dependent on the value of the viscosity. The optimal augmentation parameter can be found by means of a Local Fourier Analysis.

I will also describe an extension of the augmented Lagrangian-based block preconditioners to the case of stabilized finite elements, such as Q1-Q1 and Q1-P0 elements.

Joint work with Maxim Olshanskii (Moscow State University) and Zgen Wang (Emory University).


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