We consider a singularly perturbed advection-diffusion two-point boundary value problem whose solution has a single boundary layer. Based on piecewise polynomial approximations of degree k P 1, a new stabilized finite element method is derived in the framework of a variation multiscale approach. The
Finite element analysis of a projection-based stabilization method for the Darcy–Brinkman equations in double-diffusive convection
✍ Scribed by Aytekin Çıbık; Songül Kaya
- Book ID
- 119192114
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 344 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0168-9274
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A new high order FV method is presented for the solution of convection±diusion equations, based on a 4-point approximation of the diusive term and on the de®nition of a quadratic pro®le for the approximation of the convective term, in which coecients are obtained by imposing conditions on the trunca
In this paper we present a stabilized ®nite element formulation for the transient incompressible Navier±Stokes equations. The main idea is to introduce as a new unknown of the problem the projection of the pressure gradient onto the velocity space and to add to the incompresibility equation the dier