Analysis of an Interface Stabilized Finite Element Method: The Advection-Diffusion-Reaction Equation
✍ Scribed by Wells, Garth N.
- Book ID
- 118182653
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2011
- Tongue
- English
- Weight
- 491 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0036-1429
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## Abstract This paper presents a stabilized mixed finite element method for the first‐order form of advection–diffusion equation. The new method is based on an additive split of the flux‐field into coarse‐ and fine‐scale components that systematically lead to coarse and fine‐scale variational form
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