Spectral methods on triangles and other domains
- Moshe Dubiner
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This article shows how to obtain multidimensional spectral methods as a warped product of one-dimensional spectral methods, thus generalizing direct (tensor) products. This generalization includes the fast Fourier transform. Applications are given for spectral approximation on a disk and on a triangle. The use of the disk spectral method for simulating the Navier-Stokes equations in a periodic pipe is detailed. The use of the triangle method in a spectral element scheme is discussed. The degree of approximation of the triangle method is computed in a new way, which favorably compares with the classical approximation estimates.
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- Spectral methods on triangles and other domains
Journal of Scientific Computing
Volume 6, Issue 4 , pp 345-390
- Cover Date
- Print ISSN
- Online ISSN
- Kluwer Academic Publishers-Plenum Publishers
- Additional Links
- Spectral method
- spectral elements
- warped product
- pipe flow
- fast Fourier transform
- Industry Sectors
- Moshe Dubiner (1)
- Author Affiliations
- 1. Department of Applied Mathematics, Tel-Aviv University, Ramat-Aviv, Israel