Multipreconditioning with application to two-phase incompressible Navier–Stokes flow

Bootland, Niall and Wathen, Andrew; (2020) Multipreconditioning with application to two-phase incompressible Navier–Stokes flow. In: European Numerical Mathematics and Advanced Applications ENUMATH 2019. Springer, NLD. ISBN 978-3-030-55874-1 (https://doi.org/10.1007/978-3-030-55874-1)

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Abstract

We consider the use of multipreconditioning to solve linear systems when more than one preconditioner is available but the optimal choice is not known. In particular, we consider a selective multipreconditioned GMRES algorithm where we incorporate a weighting that allows us to prefer one preconditioner over another. Our target application lies in the simulation of incompressible two-phase flow. Since it is not always known if a preconditioner will perform well within all regimes found in a simulation, we also consider robustness of the multipreconditioning to a poorly performing preconditioner. Overall, we obtain promising results with the approach.

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