Spectral multidomain technique with Local Fourier Basis II: Decomposition into cells

The spectral multidomain method for the solution of 2-D elliptic and parabolic PDE's is developed. The computational region is decomposed into rectangular cells. A Local Fourier Basis technique is implemented for the discretization in space. Such a technique enables the global (typically approx...

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Bibliographic Details
Published in:Journal of scientific computing 1994-09, Vol.9 (3), p.311-326
Main Authors: Vozovoi, L., Israeli, M., Averbuch, A.
Format: Article
Language:English
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Summary:The spectral multidomain method for the solution of 2-D elliptic and parabolic PDE's is developed. The computational region is decomposed into rectangular cells. A Local Fourier Basis technique is implemented for the discretization in space. Such a technique enables the global (typically approx.10 super(4)-10 super(5)) matching relations for the interface unknowns to be decoupled into a set of relations for only few interface points at a time.
ISSN:0885-7474
1573-7691
DOI:10.1007/BF01575035