Stability and phase speed for various finite element formulations of the advection equation
✍ Scribed by Beny Neta; R.T. Williams
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 817 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0045-7930
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📜 SIMILAR VOLUMES
## 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
In a previous paper a general procedure for deriving stabilized ®nite element schemes for advective type problems based on invoking higher order balance laws over ®nite size domains was presented. This provides an expression for the element stabilization parameter in terms of the solution residual a
## Abstract The advection‐diffusion equation has a long history as a benchmark for numerical methods. Taylor‐Galerkin methods are used together with the type of splines known as B‐splines to construct the approximation functions over the finite elements for the solution of time‐dependent advection‐