dc.contributor.advisor | Kvamsdal, Trond | nb_NO |
dc.contributor.author | Johannessen, Kjetil André | nb_NO |
dc.date.accessioned | 2014-12-19T13:58:10Z | |
dc.date.available | 2014-12-19T13:58:10Z | |
dc.date.created | 2010-09-04 | nb_NO |
dc.date.issued | 2009 | nb_NO |
dc.identifier | 348863 | nb_NO |
dc.identifier | ntnudaim:4630 | nb_NO |
dc.identifier.uri | http://hdl.handle.net/11250/258532 | |
dc.description.abstract | In this thesis we will explore the possibilities of making a finite element solver for partial differential equations using the isogeometric framework established by Hughes et al. Whereas general B-splines and NURBS only allow for tensor product refinement, a new technology called T-splines will open for true local refinement. We will give an introduction into T-splines along with B-splines and NURBS on which they are built, presenting as well a refinement algorithm which will preserve the exact geometry of the T-spline and allow for more control points in the mesh. For the solver we will apply a residual-based a posteriori error estimator to identify elements which contribute the most to the error, which in turn allows for a fully automatic adaptive refinement scheme. The performance of the T-splines is shown to be superior on problems which contains singularities when compared with more traditional splines. Moreover the T-splines along with a posteriori error estimators are shown to have a very positive effect on badly parametrized models, as it seem to make the solution grid independent of the original parametrization. | nb_NO |
dc.language | eng | nb_NO |
dc.publisher | Institutt for matematiske fag | nb_NO |
dc.subject | ntnudaim | no_NO |
dc.subject | SIF3 fysikk og matematikk | no_NO |
dc.subject | Industriell matematikk | no_NO |
dc.title | An adaptive isogeometric finite element analysis | nb_NO |
dc.type | Master thesis | nb_NO |
dc.source.pagenumber | 76 | nb_NO |
dc.contributor.department | Norges teknisk-naturvitenskapelige universitet, Fakultet for informasjonsteknologi, matematikk og elektroteknikk, Institutt for matematiske fag | nb_NO |