AILU for Helmholtz Problems A New Preconditioner Based on the Analytic Parabolic Factorization
Martin J. Gander · Journal of Theoretical and Computational Acoustics · 2001
We investigate a new type of preconditioner which is based on the analytic factorization of the operator into two parabolic factors. Approximate analytic factorizations lead to new block ILU preconditioners. We analyze the preconditioner at the continuous level where it is possible to optimize its performance. Numerical experiments illustrate the effectiveness of the new approach.