Multipreconditioning with application to two-phase incompressible navier–stokes flow
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 preconditio...
| Main Authors: | , |
|---|---|
| Format: | Conference item |
| Language: | English |
| Published: |
Springer Nature
2020
|
| _version_ | 1797055936783712256 |
|---|---|
| author | Bootland, N Wathen, A |
| author_facet | Bootland, N Wathen, A |
| author_sort | Bootland, N |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-06T19:16:25Z |
| format | Conference item |
| id | oxford-uuid:188a6fb6-0ff1-48c5-9a55-e79ac222c034 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T19:16:25Z |
| publishDate | 2020 |
| publisher | Springer Nature |
| record_format | dspace |
| spelling | oxford-uuid:188a6fb6-0ff1-48c5-9a55-e79ac222c0342022-03-26T10:43:47ZMultipreconditioning with application to two-phase incompressible navier–stokes flowConference itemhttp://purl.org/coar/resource_type/c_5794uuid:188a6fb6-0ff1-48c5-9a55-e79ac222c034EnglishSymplectic ElementsSpringer Nature2020Bootland, NWathen, AWe 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. |
| spellingShingle | Bootland, N Wathen, A Multipreconditioning with application to two-phase incompressible navier–stokes flow |
| title | Multipreconditioning with application to two-phase incompressible navier–stokes flow |
| title_full | Multipreconditioning with application to two-phase incompressible navier–stokes flow |
| title_fullStr | Multipreconditioning with application to two-phase incompressible navier–stokes flow |
| title_full_unstemmed | Multipreconditioning with application to two-phase incompressible navier–stokes flow |
| title_short | Multipreconditioning with application to two-phase incompressible navier–stokes flow |
| title_sort | multipreconditioning with application to two phase incompressible navier stokes flow |
| work_keys_str_mv | AT bootlandn multipreconditioningwithapplicationtotwophaseincompressiblenavierstokesflow AT wathena multipreconditioningwithapplicationtotwophaseincompressiblenavierstokesflow |