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dc.contributor.authorSandvin, Andreaseng
dc.contributor.authorNordbotten, Jan Martineng
dc.contributor.authorAavatsmark, Ivareng
dc.date.accessioned2013-10-15T12:37:45Z
dc.date.available2013-10-15T12:37:45Z
dc.date.issued2010eng
dc.PublishedIn: Carrera J (ed.), XVIII International Conference on Water Resources, CMWR 2010eng
dc.identifier.urihttps://hdl.handle.net/1956/7417
dc.descriptionPresented at CMWR 2010 - XVIII International Conference on Computational Methods in Water Resources, June 21-24, 2010, Barcelona, Spaineng
dc.description.abstractWe consider multiscale preconditioners for a class of mass-conservative domain-decomposition (MCDD) methods. For the application of reservoir simulation, we need to solve large linear systems, arising from finite-volume discretisations of elliptic PDEs with highly variable coefficients. We introduce an algebraic framework, based on probing, for constructing mass-conservative operators on a multiple of coarse scales. These operators may further be applied as coarse spaces for additive Schwarz preconditioners. By applying different local approximations to the Schur complement system based on a careful choice of probing vectors, we show how the MCDD preconditioners can be both efficient preconditioners for iterative methods or accurate upscaling techniques for the heterogeneous elliptic problem. Our results show that the probing technique yield better approximation properties compared with the reduced boundary condition commonly applied with multiscale methods.en_US
dc.language.isoengeng
dc.publisherInternational Center for Numerical Methods in Engineering (CIMNE)en_US
dc.relation.ispartof<a href="http://hdl.handle.net/1956/7416" target="blank">Robust Multiscale Control-volume Methods for Reservoir Simulation</a>en_US
dc.subjectMultiscaleeng
dc.subjectPreconditionereng
dc.subjectPorous mediaeng
dc.titleA unified multilevel framework of upscaling and domain decompositionen_US
dc.typeConference object
dc.description.versionpublishedVersionen_US
dc.rights.holderCopyright CIMNE, Barcelona, 2010en_US


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