Influence of Gauss and Gauss-Lobatto quadrature rules on the accuracy of a quadrilateral finite element method in the time domain.

Marc Duruflé (1) , Pascal Grob (1) , Patrick Joly (1)

1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation

In this paper, we examine the infl uence of numerical integration on finite element methods using quadrilateral or hexahedral meshes in the time domain. We pay special attention to the use of Gauss-Lobatto points to perform mass lumping for any element order. We provide some theoretical results through several error estimates that are completed by various numerical experiments.

Domains: Analysis of PDEs [math.AP]

Marc Duruflé, Pascal Grob, Patrick Joly. Influence of Gauss and Gauss-Lobatto quadrature rules on the accuracy of a quadrilateral finite element method in the time domain.. Numerical Methods for Partial Differential Equations, 2009, 25 (3), pp.526-551. ⟨10.1002/num.20353⟩. ⟨hal-00403791⟩