dc.contributor.advisor | Kvamsdal, Trond | nb_NO |
dc.contributor.advisor | Johannessen, Kjetil André | nb_NO |
dc.contributor.author | Solberg, Turid Schoonderbeek | nb_NO |
dc.date.accessioned | 2014-12-19T14:00:13Z | |
dc.date.available | 2014-12-19T14:00:13Z | |
dc.date.created | 2013-09-21 | nb_NO |
dc.date.issued | 2013 | nb_NO |
dc.identifier | 650449 | nb_NO |
dc.identifier | ntnudaim:8525 | nb_NO |
dc.identifier.uri | http://hdl.handle.net/11250/259196 | |
dc.description.abstract | In this thesis the finite element method with B-spline basis functions was implemented and tested for the Poisson equation and the Biharmonic equation in an isoparametric setting. The equations were solved on a unit square and a B-spline geometry in physical space for given boundary conditions. The convergence rate of the finite element method for p-degree spline basis functions was verified using a least squares approximation and Schoenberg's variation diminishing spline approximation for the lifting functions. For the Poisson equation weak enforcement by the classical Lagrange multiplier method was also considered. | nb_NO |
dc.language | eng | nb_NO |
dc.publisher | Institutt for matematiske fag | nb_NO |
dc.title | Isogeometric Finite Element Analysis using B-spline Basis Functions: The Poisson Equation and the Biharmonic Equation | nb_NO |
dc.type | Master thesis | nb_NO |
dc.source.pagenumber | 91 | nb_NO |
dc.contributor.department | Norges teknisk-naturvitenskapelige universitet, Fakultet for informasjonsteknologi, matematikk og elektroteknikk, Institutt for matematiske fag | nb_NO |