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The Schur complement method as a fast parallel solver for elliptic partial differential equations in oceanography

✍ Scribed by Natalja Rakowsky

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 194 KB
Volume: 6
Category: Article
ISSN: 1070-5325
DOI: 10.1002/(sici)1099-1506(199909)6:6<497::aid-nla171>3.0.co;2-r

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✦ Synopsis

Elliptic PDEs with variable coefficients in a domain with complex geometry occur in many ocean models. The parallelization of the elliptic solver by the Shur complement method is presented for the ice-ocean model BRIOS. The Schur complement method is usually employed as an iterative solver, but for this special class of elliptic problems the direct approach with an explicitly inverted Schur complement matrix proves to be very well suited.