dc.contributor.author | Boon, Wietse | |
dc.contributor.author | Balbarini, Nicola | |
dc.contributor.author | Binning, Philip John | |
dc.contributor.author | Nordbotten, Jan Martin | |
dc.date.accessioned | 2018-08-20T12:18:39Z | |
dc.date.available | 2018-08-20T12:18:39Z | |
dc.date.issued | 2017-02 | |
dc.identifier.issn | 1420-0597 | en_US |
dc.identifier.uri | https://hdl.handle.net/1956/18158 | |
dc.description.abstract | Domain 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.iso | eng | eng |
dc.publisher | Springer | en_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.rights | Attribution CC BY | eng |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0 | eng |
dc.subject | Domain transformation | eng |
dc.subject | Water table evolution | eng |
dc.subject | Finite element method | eng |
dc.title | Efficient water table evolution discretization using domain transformation | en_US |
dc.type | Peer reviewed | |
dc.type | Journal article | |
dc.description.version | publishedVersion | en_US |
dc.rights.holder | Copyright 2016 The Author(s) | en_US |
dc.identifier.doi | https://doi.org/10.1007/s10596-016-9597-9 | |
dc.source.journal | Computational Geosciences | |
dc.source.40 | 21 | |
dc.source.14 | 1 | |
dc.source.pagenumber | 3-11 | |