In this paper an adaptive numerical integration algorithm for polygons is constructed by cubatures based on finite quadrilateral elements, with particular reference to an 8-node spline finite element. Some numerical examples are given to evaluate the performance of the proposed algorithm, combined with several cubatures with accuracy of order two. The results are also compared with those obtained by two cubatures based on triangulation and a recent method based on the Green’s integral formula and Gaussian rules.

An adaptive numerical integration algorithm for polygons

DAGNINO, Catterina
2010

Abstract

In this paper an adaptive numerical integration algorithm for polygons is constructed by cubatures based on finite quadrilateral elements, with particular reference to an 8-node spline finite element. Some numerical examples are given to evaluate the performance of the proposed algorithm, combined with several cubatures with accuracy of order two. The results are also compared with those obtained by two cubatures based on triangulation and a recent method based on the Green’s integral formula and Gaussian rules.
60
2009
165
175
Adaptive algorithm; Numerical cubature; Spline finite element
C. J. Li; C. Dagnino
File in questo prodotto:
File Dimensione Formato  
dagnino_1.pdf

Accesso riservato

Tipo di file: PDF EDITORIALE
Dimensione 2.9 MB
Formato Adobe PDF
2.9 MB Adobe PDF   Visualizza/Apri   Richiedi una copia
LD_2010.pdf

Accesso aperto

Tipo di file: POSTPRINT (VERSIONE FINALE DELL’AUTORE)
Dimensione 2.77 MB
Formato Adobe PDF
2.77 MB Adobe PDF Visualizza/Apri

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/2318/99722
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 4
  • ???jsp.display-item.citation.isi??? 4
social impact