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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	526-551
Number of pages	26
Journal	Numerical Methods for Partial Differential Equations
Volume	25
Issue number	3
DOIs	https://doi.org/10.1002/num.20353
Publication status	Published - 1 Jan 2009

Keywords

Error estimates
Mass lumping
Numerical integration
Quadrilateral elements

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10.1002/num.20353

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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.

PY - 2009/1/1

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N2 - 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.

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

U2 - 10.1002/num.20353

DO - 10.1002/num.20353

M3 - Article

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VL - 25

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JO - Numerical Methods for Partial Differential Equations

JF - Numerical Methods for Partial Differential Equations

IS - 3

ER -

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

Abstract

Keywords

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