This paper presents the use of Powell-Sabin splines in the context of isogeometric analysis for the numerical solution of advection-diffusion-reaction equations. Powell-Sabin splines are piecewise quadratic $C^1$ functions defined on a given triangulation with a particular macro-structure. We discuss the Galerkin discretization based on a normalized Powell-Sabin B-spline basis. We focus on the accurate detection of internal and boundary layers, and on local refinements. We apply the approach to several test problems, and we illustrate its effectiveness by a comparison with classical finite element and recent isogeometric analysis procedures.

Speleers, H., Manni, C., Pelosi, F., Sampoli, M.l. (2012). Isogeometric analysis with Powell-Sabin splines for advection-diffusion-reaction problems. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 221, 132-148 [10.1016/j.cma.2012.02.009].

Isogeometric analysis with Powell-Sabin splines for advection-diffusion-reaction problems

Speleers H.;Manni C.;Pelosi F.;
2012-01-01

Abstract

This paper presents the use of Powell-Sabin splines in the context of isogeometric analysis for the numerical solution of advection-diffusion-reaction equations. Powell-Sabin splines are piecewise quadratic $C^1$ functions defined on a given triangulation with a particular macro-structure. We discuss the Galerkin discretization based on a normalized Powell-Sabin B-spline basis. We focus on the accurate detection of internal and boundary layers, and on local refinements. We apply the approach to several test problems, and we illustrate its effectiveness by a comparison with classical finite element and recent isogeometric analysis procedures.
2012
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/08 - ANALISI NUMERICA
English
Con Impact Factor ISI
Powell-Sabin splines; Advection-diffusion-reaction equations; Local refinements; Isogeometric analysis
Speleers, H., Manni, C., Pelosi, F., Sampoli, M.l. (2012). Isogeometric analysis with Powell-Sabin splines for advection-diffusion-reaction problems. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 221, 132-148 [10.1016/j.cma.2012.02.009].
Speleers, H; Manni, C; Pelosi, F; Sampoli, Ml
Articolo su rivista
File in questo prodotto:
File Dimensione Formato  
PAPER_published.pdf

solo utenti autorizzati

Descrizione: Articolo principale
Tipologia: Versione Editoriale (PDF)
Licenza: Copyright dell'editore
Dimensione 6.01 MB
Formato Adobe PDF
6.01 MB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/90196
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 85
  • ???jsp.display-item.citation.isi??? 76
social impact