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• W2162264718 endingPage "598" @default.
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• W2162264718 abstract "A novel technique is presented to facilitate the implementation of hierarchical b-splines and their interfacing with conventional finite element implementations. The discrete interpretation of the two-scale relation, as common in subdivision schemes, is used to establish algebraic relations between the basis functions and their coefficients on different levels of the hierarchical b-spline basis. The subdivision projection technique introduced allows us first to compute all element matrices and vectors using a fixed number of same-level basis functions. Their subsequent multiplication with subdivision matrices projects them, during the assembly stage, to the correct levels of the hierarchical b-spline basis. The proposed technique is applied to convergence studies of linear and geometrically nonlinear problems in one, two and three space dimensions." @default.
• W2162264718 created "2016-06-24" @default.
• W2162264718 creator A5016815096 @default.
• W2162264718 creator A5028058757 @default.
• W2162264718 date "2013-01-01" @default.
• W2162264718 modified "2023-09-27" @default.
• W2162264718 title "A subdivision-based implementation of the hierarchical b-spline finite element method" @default.
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• W2162264718 doi "https://doi.org/10.1016/j.cma.2012.06.023" @default.
• W2162264718 hasPublicationYear "2013" @default.
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