Alternative proposal of the high-order Gauss quadrature for reference triangle in the generalized finite element method

In this paper we propose a new distribution of Gaussian points to compute the weak form integrals of the Generalized Finite Element Method (GFEM). The relevance of this new distribution is the possibility of evaluating the integrals of oscillatory functions inside the reference triangle in an altern...

Full description

Saved in:
Bibliographic Details
Published inComputers & mathematics with applications (1987) Vol. 80; no. 10; pp. 2162 - 2175
Main Authors Facco, W.G., Silva, R.C., Santos, K.F.O., Silva, E.J., Moura, A.S., Saldanha, R.R.
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 15.11.2020
Elsevier BV
Subjects
Finite element analysis
Finite element method
Gaussian distribution
Gauss–Legendre quadrature
Generalized finite element method
Integrals
Quadratures
Relocation
Wave propagation
Finite element method
Gauss–Legendre quadrature
Wave propagation
Generalized finite element method
Online AccessGet full text

Cover

More Information
Summary:In this paper we propose a new distribution of Gaussian points to compute the weak form integrals of the Generalized Finite Element Method (GFEM). The relevance of this new distribution is the possibility of evaluating the integrals of oscillatory functions inside the reference triangle in an alternate way. A simple scheme of relocation of the quadrature points allows to improve the efficacy of the method. A wave propagation problem is solved with the proposed technique and its performance is compared to conventional and other existing proposals. In addition, we propose a new distribution of Gaussian points to the tetrahedral reference element
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2020.09.011