We present a novel approach, within the new paradigm of isogeometric analysis introduced by Hughes et al., to deal with advection dominated advection-diffusion problems. The key ingredient is the use of Galerkin approximating spaces of functions with high smoothness, as in IgA based on classical B-splines, but particularly well suited to describe sharp layers involving very strong gradients.

Manni, C., Pelosi, F., Sampoli, M.l. (2011). Isogeometric Analysis in advection-diffusion problems: tension splines approximation. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 236, 511-528 [10.1016/j.cam.2011.05.029].

Isogeometric Analysis in advection-diffusion problems: tension splines approximation

MANNI, CARLA;PELOSI, FRANCESCA;
2011-01-01

Abstract

We present a novel approach, within the new paradigm of isogeometric analysis introduced by Hughes et al., to deal with advection dominated advection-diffusion problems. The key ingredient is the use of Galerkin approximating spaces of functions with high smoothness, as in IgA based on classical B-splines, but particularly well suited to describe sharp layers involving very strong gradients.
2011
Pubblicato
Rilevanza internazionale
Articolo
Nessuno
Settore MAT/08 - ANALISI NUMERICA
English
Con Impact Factor ISI
Advection-diffusion problems, Isogeometric Analysis, variable degree splines, exponential splines, splines in tension
Manni, C., Pelosi, F., Sampoli, M.l. (2011). Isogeometric Analysis in advection-diffusion problems: tension splines approximation. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 236, 511-528 [10.1016/j.cam.2011.05.029].
Manni, C; Pelosi, F; Sampoli, Ml
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/42273
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