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dc.contributor.authorBoon, Wietse
dc.contributor.authorBalbarini, Nicola
dc.contributor.authorBinning, Philip John
dc.contributor.authorNordbotten, Jan Martin
dc.date.accessioned2018-08-20T12:18:39Z
dc.date.available2018-08-20T12:18:39Z
dc.date.issued2017-02
dc.identifier.issn1420-0597en_US
dc.identifier.urihttps://hdl.handle.net/1956/18158
dc.description.abstractDomain transformation methods are useful techniques for solving problems on non-stationary domains. In this work, we consider the evolution of the water table in an unconfined aquifer. This nonlinear, time-dependent problem is greatly simplified by using a mapping from the physical domain to a reference domain and is then further reduced to a single, (nonlinear) partial differential equation. We show well-posedness of the approach and propose a stable and convergent discretization scheme. Numerical results are presented supporting the theory.en_US
dc.language.isoengeng
dc.publisherSpringeren_US
dc.relation.ispartof<a href="http://hdl.handle.net/1956/18159" target="_blank">Conforming Discretizations of Mixed-Dimensional Partial Differential Equations</a>en_US
dc.rightsAttribution CC BYeng
dc.rights.urihttp://creativecommons.org/licenses/by/4.0eng
dc.subjectDomain transformationeng
dc.subjectWater table evolutioneng
dc.subjectFinite element methodeng
dc.titleEfficient water table evolution discretization using domain transformationen_US
dc.typePeer reviewed
dc.typeJournal article
dc.description.versionpublishedVersionen_US
dc.rights.holderCopyright 2016 The Author(s)en_US
dc.identifier.doihttps://doi.org/10.1007/s10596-016-9597-9
dc.source.journalComputational Geosciences
dc.source.4021
dc.source.141
dc.source.pagenumber3-11


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Attribution CC BY
Except where otherwise noted, this item's license is described as Attribution CC BY