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.
Original language | English |
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Title of host publication | European Numerical Mathematics and Advanced Applications ENUMATH 2019 |
Place of Publication | Switzerland |
Publisher | Springer |
Number of pages | 8 |
ISBN (Electronic) | 978-3-030-55874-1 |
ISBN (Print) | 978-3-030-55873-4 |
DOIs | |
Publication status | Published - 23 Dec 2020 |
Event | European Numerical Mathematics and Advanced Applications Conference 2019 - Egmond aan Zee, Netherlands Duration: 30 Sept 2019 → 4 Oct 2019 https://www.enumath2019.eu/ |
Conference
Conference | European Numerical Mathematics and Advanced Applications Conference 2019 |
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Abbreviated title | ENUMATH 2019 |
Country/Territory | Netherlands |
City | Egmond aan Zee |
Period | 30/09/19 → 4/10/19 |
Internet address |
Keywords
- fluid flow simulations
- hydraulic modelling
- preconditioners