On the Finite Increment Calculus method for stabilizing advection-diffusion equations, analysis and computation of the stabilization parameter
โ Scribed by Manuel Ramirez; Miguel Angel Moreles
- Book ID
- 112095366
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 819 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0271-2091
- DOI
- 10.1002/fld.2702
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๐ SIMILAR VOLUMES
In a previous paper a general procedure for deriving stabilized ยฎnite element schemes for advective type problems based on invoking higher order balance laws over ยฎnite size domains was presented. This provides an expression for the element stabilization parameter in terms of the solution residual a
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
This paper analyzes the stability of the finite-element approximation to the linearized two-dimensional advection-diffusion equation. Bilinear basis functions on rectangular elements are considered. This is one of the two best schemes as was shown by Neta and Williams . Time is discretized with the