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dc.contributor.authorRhebergen, S
dc.contributor.authorWells, GN
dc.contributor.authorWathen, AJ
dc.contributor.authorKatz, RF
dc.date.accessioned2018-04-26T09:30:01Z
dc.date.available2018-04-26T09:30:01Z
dc.date.issued2015
dc.identifier.issn1064-8275
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/275177
dc.description.abstractFor a prescribed porosity, the coupled magma/mantle flow equations can be formulated as a two-field system of equations with velocity and pressure as unknowns. Previous work has shown that while optimal preconditioners for the two-field formulation can be obtained, the construction of preconditioners that are uniform with respect to model parameters is difficult. This limits the applicability of two-field preconditioners in certain regimes of practical interest. We address this issue by reformulating the governing equations as a three-field problem, which removes a term that was problematic in the two-field formulation in favour of an additional equation for a pressure-like field. For the three-field problem, we develop and analyse new preconditioners and we show numerically that they are optimal in terms of problem size and less sensitive to model parameters, compared to the two-field preconditioner. This extends the applicability of optimal preconditioners for coupled mantle/magma dynamics into parameter regimes of physical interest.
dc.publisherSociety for Industrial & Applied Mathematics (SIAM)
dc.titleThree-field block preconditioners for models of coupled magma/mantle dynamics
dc.typeArticle
prism.endingPageA2294
prism.issueIdentifier5
prism.publicationDate2015
prism.publicationNameSIAM Journal on Scientific Computing
prism.startingPageA2270
prism.volume37
dc.identifier.doi10.17863/CAM.22356
rioxxterms.versionofrecord10.1137/14099718X
rioxxterms.versionAM
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserved
rioxxterms.licenseref.startdate2015-01-01
dc.contributor.orcidWells, Garth [0000-0001-5291-7951]
dc.identifier.eissn1095-7200
dc.publisher.urlhttp://dx.doi.org/10.1137/14099718X
rioxxterms.typeJournal Article/Review
pubs.funder-project-idNatural Environment Research Council (NE/I023929/1)
cam.issuedOnline2015-09-10
rioxxterms.freetoread.startdate2016-09-10


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