Abstract
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 ∼104–105) matching relations for the interface unknows to be decoupled into a set of relations for only few interface points at a time.
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Vozovoi, L., Israeli, M., and Averbuch, A. (unpublished). Spectral Fourier algorithm for Navier-Stokes problems in multidomain regions.
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This research is supported partly by a grant from the French-Israeli Binational Foundation for 1991–1992.
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Vozovoi, L., Israeli, M. & Averbuch, A. Spectral multidomain technique with Local Fourier Basis II: Decomposition into cells. J Sci Comput 9, 311–326 (1994). https://doi.org/10.1007/BF01575035
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DOI: https://doi.org/10.1007/BF01575035