The Asymptotic Finite Element method for improvement of standard finite element solutions of perturbation equations by the addition of asymptotic corrections to the right hand side terms is presented. It is applied here to 1-D and 2-D diffusion-convection equations and to non-linear similarity equat
Hybrid Spectral Element/Asymptotic Method for Boundary Layers Problems
β Scribed by U. Zrahia; S.A. Orszag; M. Israeli
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 656 KB
- Volume
- 138
- Category
- Article
- ISSN
- 0021-9991
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β¦ Synopsis
An efficient high-order approach to multi-dimensional problems with boundary or interior layers is presented. It combines a coarse grid penaltyspectral element method with a local one-dimensional asymptotic approximation. The solution so obtained is improved by numerical manipulations on the same coarse grid. Examples of interior and boundary layer problems are presented.
π SIMILAR VOLUMES
A boundary element formulation for the solution of multiple moving boundary problems is presented and tested herein. A heat transfer problem involving heating of solid, melting of solid, and partial vaporisation of liquid is considered. Numerical results show that the boundary element method is more
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