Quasi‐interpolation based on bivariate quadratic B‐splines with multiple knots | Zendy

Dagnino C. | Zendy; Lamberti P. | Zendy; Remogna S. | Zendy

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Quasi‐interpolation based on bivariate quadratic B‐splines with multiple knots

Author(s) -

Dagnino C.,

Lamberti P.,

Remogna S.

Publication year - 2007

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.200700015

Subject(s) - quadratic equation , interpolation (computer graphics) , mathematics , bivariate analysis , spline (mechanical) , spline interpolation , smoothness , mathematical analysis , mathematical optimization , geometry , computer science , structural engineering , engineering , bilinear interpolation , artificial intelligence , statistics , motion (physics)

Taking into account the results given in [1, 3, 4] on bivariate spline quasi‐interpolation and in [5] on the effects of multiple knots, in this paper we consider local quadratic spline quasi‐interpolants on criss‐cross triangulations of a rectangular domain Ω, with possible multiple knots inside Ω and/or on the boundary ∂Ω. Such splines can be particularly useful in mechanics and engineering applications, since they can model constrained surfaces with different kind of smoothness in Ω. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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