A new approach to quadrature for finite elemens incorporating hourglass control as a special case

Journal article, 1998

The purpose of this paper is to suggest a simple alternative approach to Gaussian quadrature in the finite element method. We show that this quadrature rule may be used to derive ‘hourglass control’ stabilization matrices. We also show that the proposed quadrature scheme does not destroy the order of the bilinear finite element method.