Influence of gauss and gauss-lobatto quadrature rules on the accuracy of a quadrilateral finite element method in the time domain

M. Durufle; P. Grob; P. Joly

doi:10.1002/num.20353

Influence of gauss and gauss-lobatto quadrature rules on the accuracy of a quadrilateral finite element method in the time domain

M. Durufle
, P. Grob
, P. Joly

Laboratoire POems UMR 7231 CNRS-INRIA-ENSTA, ENSTA-UMA

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

48 Citations (Scopus)

Résumé

In this article, we examine the influence 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.

langue originale	Anglais
Pages (de - à)	526-551
Nombre de pages	26
journal	Numerical Methods for Partial Differential Equations
Volume	25
Numéro de publication	3
Les DOIs	https://doi.org/10.1002/num.20353
état	Publié - 1 janv. 2009

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10.1002/num.20353

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title = "Influence of gauss and gauss-lobatto quadrature rules on the accuracy of a quadrilateral finite element method in the time domain",

abstract = "In this article, we examine the influence 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.",

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AU - Grob, P.

AU - Joly, P.

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AB - In this article, we examine the influence 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.

KW - Error estimates

KW - Mass lumping

KW - Numerical integration

KW - Quadrilateral elements

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DO - 10.1002/num.20353

M3 - Article

AN - SCOPUS:66049102698

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JO - Numerical Methods for Partial Differential Equations

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Influence of gauss and gauss-lobatto quadrature rules on the accuracy of a quadrilateral finite element method in the time domain

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