Domain decomposition methods for solving parabolic PDEs on multiprocessors

M. Israeli; L. Vozovoi; A. Averbuch

doi:10.1016/0168-9274(93)90118-b

Domain decomposition methods for solving parabolic PDEs on multiprocessors

M. Israeli
, L. Vozovoi
, A. Averbuch

Technion-Israel Institute of Technology
Tel Aviv University

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

12 Scopus citations

Abstract

Time-dependent partial differential equations of parabolic type are described for which the influence of remote regions is practically negligible. This property of locality can be exploited in domain decomposition techniques to simplify the global matching relations among subdomains. This paper presents two spectral multidomain approaches for the solution of parabolic PDEs when only minimal communication between adjacent subdomains is required. A brief survey of some principal domain decomposition approaches for solving elliptic and parabolic problems is also provided.

Original language	English
Pages (from-to)	193-212
Number of pages	20
Journal	Applied Numerical Mathematics
Volume	12
Issue number	1-3
DOIs	https://doi.org/10.1016/0168-9274(93)90118-b
State	Published - May 1993
Externally published	Yes

Keywords

Domain decomposition
local methods
parabolic, nonlinear, time-dependent PDEs
spectral, Fourier basis

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10.1016/0168-9274(93)90118-b

Cite this

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abstract = "Time-dependent partial differential equations of parabolic type are described for which the influence of remote regions is practically negligible. This property of locality can be exploited in domain decomposition techniques to simplify the global matching relations among subdomains. This paper presents two spectral multidomain approaches for the solution of parabolic PDEs when only minimal communication between adjacent subdomains is required. A brief survey of some principal domain decomposition approaches for solving elliptic and parabolic problems is also provided.",

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AU - Averbuch, A.

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AB - Time-dependent partial differential equations of parabolic type are described for which the influence of remote regions is practically negligible. This property of locality can be exploited in domain decomposition techniques to simplify the global matching relations among subdomains. This paper presents two spectral multidomain approaches for the solution of parabolic PDEs when only minimal communication between adjacent subdomains is required. A brief survey of some principal domain decomposition approaches for solving elliptic and parabolic problems is also provided.

KW - Domain decomposition

KW - local methods

KW - parabolic, nonlinear, time-dependent PDEs

KW - spectral, Fourier basis

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Domain decomposition methods for solving parabolic PDEs on multiprocessors

Abstract

Keywords

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