Shortened quadrature rules for finite elements

摘要: A numerical method to calculate Rieman's integrals for complete polynomials on R n space is presented. The based the direct elimination of some polynomial tenns, whose contribution value integral zero particular positions sampling points. Using proposed scheme carry out integrations occurring in finite element formulations leads a remarkable reduction computing time, with respect employment ordinary Gauss-Legendre quadrature rule. Moreover, if this rule available at least as an alternative, those indeterminations can be removed, that depend local singularities arising transformations performed before themselves. Tables are reported giving normalised coordinates and weighting factors points, various orders degrees. Examples produced from which estimate drawn savings obtained by method.