dc.contributor.author | Bekele, Yared Worku | |
dc.contributor.author | Kvamsdal, Trond | |
dc.contributor.author | Kvarving, Arne Morten | |
dc.contributor.author | Nordal, Steinar | |
dc.date.accessioned | 2018-01-23T13:21:48Z | |
dc.date.available | 2018-01-23T13:21:48Z | |
dc.date.created | 2015-12-15T12:49:30Z | |
dc.date.issued | 2015 | |
dc.identifier.citation | International journal for numerical and analytical methods in geomechanics (Print). 2015, 40 738-765. | nb_NO |
dc.identifier.issn | 0363-9061 | |
dc.identifier.uri | http://hdl.handle.net/11250/2479109 | |
dc.description.abstract | Numerical challenges occur in the simulation of groundwater flow problems because of complex boundary conditions, varying material properties, presence of sources or sinks in the flow domain, or a combination of these. In this paper, we apply adaptive isogeometric finite element analysis using locally refined (LR) B-splines to address these types of problems. The fundamentals behind isogeometric analysis and LR B-splines are briefly presented. Galerkin's method is applied to the standard weak formulation of the governing equation to derive the linear system of equations. A posteriori error estimates are calculated to identify which B-splines should be locally refined. The error estimates are calculated based on recovery of the L2-projected solution. The adaptive analysis method is first illustrated by performing simulation of benchmark problems with analytical solutions. Numerical applications to two-dimensional groundwater flow problems are then presented. The problems studied are flow around an impervious corner, flow around a cutoff wall, and flow in a heterogeneous medium. The convergence rates obtained with adaptive analysis using local refinement were, in general, observed to be of optimal order in contrast to simulations with uniform refinement. | nb_NO |
dc.language.iso | eng | nb_NO |
dc.publisher | Wiley | nb_NO |
dc.subject | Adaptive metoder | nb_NO |
dc.subject | Adaptive methods | nb_NO |
dc.subject | Elementmetoder | nb_NO |
dc.subject | Finite element methods | nb_NO |
dc.title | Adaptive isogeometric finite element analysis of steady-state groundwater flow | nb_NO |
dc.type | Journal article | nb_NO |
dc.type | Peer reviewed | nb_NO |
dc.description.version | acceptedVersion | nb_NO |
dc.subject.nsi | VDP::Geofag: 450 | nb_NO |
dc.subject.nsi | VDP::Geosciences: 450 | nb_NO |
dc.source.pagenumber | 738-765 | nb_NO |
dc.source.volume | 40 | nb_NO |
dc.source.journal | International journal for numerical and analytical methods in geomechanics (Print) | nb_NO |
dc.identifier.doi | 10.1002/nag.2425 | |
dc.identifier.cristin | 1300884 | |
dc.relation.project | Norges forskningsråd: 203471 | nb_NO |
dc.description.localcode | This is the peer reviewed version of the following article: [Adaptive isogeometric finite element analysis of steady-state groundwater flow], which has been published in final form at [http://onlinelibrary.wiley.com/doi/10.1002/nag.2425/abstract]. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving. | nb_NO |
cristin.unitcode | 194,64,91,0 | |
cristin.unitcode | 194,63,15,0 | |
cristin.unitname | Institutt for bygg- og miljøteknikk | |
cristin.unitname | Institutt for matematiske fag | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 1 | |