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

L. Vozovoi; M. Israeli; A. Averbuch

doi:10.1007/bf01575035

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

L. Vozovoi
, M. Israeli
, A. Averbuch

Technion-Israel Institute of Technology
Tel Aviv University

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

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.

Original language	English
Pages (from-to)	311-326
Number of pages	16
Journal	Journal of Scientific Computing
Volume	9
Issue number	3
DOIs	https://doi.org/10.1007/bf01575035
State	Published - Sep 1994
Externally published	Yes

Keywords

Fourier method
Spectral method
multidomain method
parallel processing

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10.1007/bf01575035

Cite this

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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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author = "L. Vozovoi and M. Israeli and A. Averbuch",

year = "1994",

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AB - 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.

KW - Fourier method

KW - Spectral method

KW - multidomain method

KW - parallel processing

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

Abstract

Keywords

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