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The Schur complement method as a fast parallel solver for elliptic partial differential equations in oceanography
Author(s) -
Rakowsky Natalja
Publication year - 1999
Publication title -
numerical linear algebra with applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.02
H-Index - 53
eISSN - 1099-1506
pISSN - 1070-5325
DOI - 10.1002/(sici)1099-1506(199909)6:6<497::aid-nla171>3.0.co;2-r
Subject(s) - schur complement , solver , complement (music) , mathematics , elliptic partial differential equation , schur's theorem , partial differential equation , domain (mathematical analysis) , variable (mathematics) , mathematical analysis , mathematical optimization , physics , biochemistry , eigenvalues and eigenvectors , chemistry , quantum mechanics , complementation , orthogonal polynomials , gene , phenotype , classical orthogonal polynomials , gegenbauer polynomials
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. Copyright © 1999 John Wiley & Sons, Ltd.