Thursday, November 30, 9:30 am in room MTH 3206, University of Maryland,
College Park
Analysis of hybrid finite element/finite volume methods and applications
Dr. Moulay D. Tidriri
Institute for Computer Applications in Science and Engineering,
ICASE, Nasa Langley Research Center
tidriri@icase.edu
The hybrid finite element/finite volume methods which use the standard
finite element methods for the second order diffusive terms and finite
volume Galerkin type methods for the first order convective terms of
convection-diffusion equations were shown to be very effictive for real
world CFD problems. We discuss in this talk the mathematical framework
we have developed in order to study the convergence and stability
properties of these methods. In particular, we will focus on the error
estimates of these methods applied to linear convection-diffusion
problems. Numerical results that illustrate the applications of these
methods to CFD problems will be also presented. Finally, some remarks
and possible extensions will conclude our talk.
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