The Taylor-least squares (TLS) scheme, developed to solve the unsteady advection4iffusion equation for advection-dominated cases in one and two dimensions, is extended to three dimensions and applied to some 3D examples to demonstrate its accuracy. The serendipity Hermite element is selected as an i
✦ LIBER ✦
Taylor–least-squares finite element for two-dimensional advection-dominated unsteady advection–diffusion problems
✍ Scribed by Nam-Sik Park; James A. Liggett
- Publisher
- John Wiley and Sons
- Year
- 1990
- Tongue
- English
- Weight
- 837 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0271-2091
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## 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‐