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Current problems in scientific computing often require the solution of sets of sparse linear equations of very large order. Particularly for three dimensional problems, it may to be impractical to solve them using a direct method but equally iterative methods may not converge and often standard preconditioning techniques do not work. We thus propose using a hybrid method by which we mean that either a nearby problem or a subproblem is solved by a direct method with the overall problem being solved by an iterative method. We discuss two applications of this at CERFACS in the solution of large scale problems from industry. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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