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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
Author(s) -
Durufle M.,
Grob P.,
Joly P.
Publication year - 2009
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20353
Subject(s) - quadrilateral , gauss , hexahedron , finite element method , quadrature (astronomy) , mathematics , gaussian quadrature , polygon mesh , domain (mathematical analysis) , element (criminal law) , mathematical analysis , geometry , nyström method , integral equation , structural engineering , engineering , physics , electrical engineering , quantum mechanics , political science , law
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. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2009