{
  "id": "2005.07608",
  "version": "v1",
  "published": "2020-05-15T15:56:11.000Z",
  "updated": "2020-05-15T15:56:11.000Z",
  "title": "Multipreconditioning with application to two-phase incompressible Navier-Stokes flow",
  "authors": [
    "Niall Bootland",
    "Andrew Wathen"
  ],
  "comment": "ENUMATH 2019 conference proceedings",
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-15T15:56:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65F08",
      "65F10",
      "65N22",
      "76D05",
      "76T10",
      "15A06",
      "65-06"
    ],
    "keywords": [
      "two-phase incompressible navier-stokes flow",
      "preconditioner",
      "multipreconditioning",
      "target application lies",
      "optimal choice"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}