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dc.contributor.advisorRønquist, Einarnb_NO
dc.contributor.authorEftang, Jens Lohnenb_NO
dc.date.accessioned2014-12-19T13:57:58Z
dc.date.available2014-12-19T13:57:58Z
dc.date.created2010-09-04nb_NO
dc.date.issued2008nb_NO
dc.identifier348652nb_NO
dc.identifierntnudaim:4075nb_NO
dc.identifier.urihttp://hdl.handle.net/11250/258436
dc.description.abstractA 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.languageengnb_NO
dc.publisherInstitutt for matematiske fagnb_NO
dc.subjectntnudaimno_NO
dc.subjectSIF3 fysikk og matematikkno_NO
dc.subjectIndustriell matematikkno_NO
dc.titleReduced Basis Methods for Partial Differential Equations: Evaluation of multiple non-compliant flux-type output functionals for a non-affine electrostatics problemnb_NO
dc.typeMaster thesisnb_NO
dc.source.pagenumber92nb_NO
dc.contributor.departmentNorges teknisk-naturvitenskapelige universitet, Fakultet for informasjonsteknologi, matematikk og elektroteknikk, Institutt for matematiske fagnb_NO


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