dc.contributor.advisor | Rønquist, Einar | nb_NO |
dc.contributor.author | Eftang, Jens Lohne | nb_NO |
dc.date.accessioned | 2014-12-19T13:57:58Z | |
dc.date.available | 2014-12-19T13:57:58Z | |
dc.date.created | 2010-09-04 | nb_NO |
dc.date.issued | 2008 | nb_NO |
dc.identifier | 348652 | nb_NO |
dc.identifier | ntnudaim:4075 | nb_NO |
dc.identifier.uri | http://hdl.handle.net/11250/258436 | |
dc.description.abstract | A method for rapid evaluation of flux-type outputs of interest from solutions to partial differential equations (PDEs) is presented within the reduced basis framework for linear, elliptic PDEs. The central point is a Neumann-Dirichlet equivalence that allows for evaluation of the output through the bilinear form of the weak formulation of the PDE. Through a comprehensive example related to electrostatics, we consider multiple outputs, a posteriori error estimators and empirical interpolation treatment of the non-affine terms in the bilinear form. Together with the considered Neumann-Dirichlet equivalence, these methods allow for efficient and accurate numerical evaluation of a relationship mu->s(mu), where mu is a parameter vector that determines the geometry of the physical domain and s(mu) is the corresponding flux-type output matrix of interest. As a practical application, we lastly employ the rapid evaluation of s-> s(mu) in solving an inverse (parameter-estimation) problem. | 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 | Reduced Basis Methods for Partial Differential Equations: Evaluation of multiple non-compliant flux-type output functionals for a non-affine electrostatics problem | nb_NO |
dc.type | Master thesis | nb_NO |
dc.source.pagenumber | 92 | nb_NO |
dc.contributor.department | Norges teknisk-naturvitenskapelige universitet, Fakultet for informasjonsteknologi, matematikk og elektroteknikk, Institutt for matematiske fag | nb_NO |