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
An application of least squares to one-dimensional transient problems
โ Scribed by Roland W. Lewis; John C. Bruch Jr.
- Publisher
- John Wiley and Sons
- Year
- 1974
- Tongue
- English
- Weight
- 570 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0029-5981
No coin nor oath required. For personal study only.
โฆ Synopsis
Abstract
The method of โleast squaresโ, which falls under the category of weighted residual processes, is applied as a timeโstepping algorithm to oneโdimensional transient problems including the heat conduction equation, diffusionโconvection equation, and a nonโlinear unsaturated flow equation. Comparison is made with other timeโstepping algorithms, and the least squares method is seen to offer definite advantages.
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