We introduce isogeometric collocation methods based on generalized B-splines and we analyze their performance through numerical examples for univariate and multivariate scalar- and vector-valued problems. In particular, advection-diffusion and linear elasticity model problems are addressed. The resulting method combines the favorable properties of isogeometric collocation and the geometrical and analytical problem-oriented advantages of generalized B-splines.
Isogeometric collocation methods with generalized B-splines
A Reali;
2015
Abstract
We introduce isogeometric collocation methods based on generalized B-splines and we analyze their performance through numerical examples for univariate and multivariate scalar- and vector-valued problems. In particular, advection-diffusion and linear elasticity model problems are addressed. The resulting method combines the favorable properties of isogeometric collocation and the geometrical and analytical problem-oriented advantages of generalized B-splines.File in questo prodotto:
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Descrizione: Isogeometric collocation methods with generalized B-splines
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