Institute for Computer Applications in Science and Engineering, ICASE, Nasa Langley Research Center
tidriri@icase.eduThe 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.