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A Multigrid Preconditioned Newton--Krylov Method

โœ Scribed by Knoll, D. A.; Rider, W. J.


Book ID
118188231
Publisher
Society for Industrial and Applied Mathematics
Year
1999
Tongue
English
Weight
383 KB
Volume
21
Category
Article
ISSN
1064-8275

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We focus on a fully implicit, nonlinearly converged, solution of multimaterial equilibrium radiation diffusion problems. The nonlinear method of solution is a Newton-Krylov (generalized minimum residual, GMRES) method preconditioned by a multigrid method. The multigrid iteration matrix results from

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In this note we continue our investigation [1] of multigrid methods as preconditioners to a Jacobian-free Newton-Krylov method [2,3]. We consider two different options for the formation of the coarse grid operators required in the multigrid preconditioner. The first option (Method 1) involves restri