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.
Manni, C., Reali, A., Speleers, H. (2015). Isogeometric collocation methods with generalized B-splines. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 70(7), 1659-1675 [10.1016/j.camwa.2015.03.027].
Isogeometric collocation methods with generalized B-splines
Manni C.;Speleers H.
2015-10-01
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
