Technical Report CS0898

Title: Hybrid Spectral Element/Asymptotic Method for Boundary Layers Problems
Authors: U. Zrahia, S.A. Orszag, and M. Israeli
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Abstract: An efficient high-order approach to multi-dimensional problems with boundary or interior layers is presented. It combines a coarse grid penalty-spectral element method with a local one dimensional asymptotic approximation. It is shown how to further improve the solution using the same coarse grid. Results for interior and boundary layer problems are presented.
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