Scientific article

An incomplete Lu preconditioner for problems in acoustics

Published inJournal of computational acoustics, vol. 13, no. 03, p. 455-476
Publication date2005-09-01
First online date2005

We present an incomplete LU preconditioner for solving discretized Helmholtz problems. The preconditioner is based on an analytic factorization of the Helmholtz operator. This allows us to take the physical properties of the acoustics problem modeled by the Helmholtz equation into account in the preconditioner. We show how the parameters in the preconditioner can be chosen in order to make it effective. Numerical experiments show that the new preconditioner leads to convergent iterative methods even for large wave numbers, and it outperforms classical ILU preconditioners by a large margin.

Citation (ISO format)
GANDER, Martin Jakob, NATAF, Frédéric. An incomplete Lu preconditioner for problems in acoustics. In: Journal of computational acoustics, 2005, vol. 13, n° 03, p. 455–476. doi: 10.1142/S0218396X05002803
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Article (Submitted version)
ISSN of the journal0218-396X

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