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Domain decomposition preconditioners for the spectral collocation methodSeveral block iteration preconditioners are proposed and analyzed for the solution of elliptic problems by spectral collocation methods in a region partitioned into several rectangles. It is shown that convergence is achieved with a rate which does not depend on the polynomial degree of the spectral solution. The iterative methods here presented can be effectively implemented on multiprocessor systems due to their high degree of parallelism.
Document ID
19880008961
Acquisition Source
Legacy CDMS
Document Type
Contractor Report (CR)
Authors
Quarteroni, Alfio (Universita Cattolica Brescia (Italy), United States)
Sacchilandriani, Giovanni (Consiglio Nazionale delle Ricerche Pavia, Italy)
Date Acquired
September 5, 2013
Publication Date
January 1, 1988
Subject Category
Numerical Analysis
Report/Patent Number
NAS 1.26:181620
NASA-CR-181620
ICASE-88-11
Accession Number
88N18345
Funding Number(s)
CONTRACT_GRANT: NAS1-18107
PROJECT: RTOP 505-90-21-01
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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