A new family of mixed finite elements for the linear elastodynamic problem

E. Bécache; P. Joly; C. Tsogka

doi:10.1137/S0036142999359189

A new family of mixed finite elements for the linear elastodynamic problem

E. Bécache, P. Joly, C. Tsogka

INRIA Institut National de Recherche en Informatique et en Automatique

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

Abstract

We construct and analyze a new family of quadrangular (in two dimensions) or cubic (in three dimensions) mixed finite elements for the approximation of elastic wave equations. Our elements lead to explicit schemes (via mass lumping), after time discretization, including in the case of anisotropic media. Error estimates are given for these new elements.

Original language	English
Pages (from-to)	2109-2132
Number of pages	24
Journal	SIAM Journal on Numerical Analysis
Volume	39
Issue number	6
DOIs	https://doi.org/10.1137/S0036142999359189
Publication status	Published - 1 Dec 2002

Keywords

Elastodynamics
Mass lumping
Mixed finite elements

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10.1137/S0036142999359189

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title = "A new family of mixed finite elements for the linear elastodynamic problem",

abstract = "We construct and analyze a new family of quadrangular (in two dimensions) or cubic (in three dimensions) mixed finite elements for the approximation of elastic wave equations. Our elements lead to explicit schemes (via mass lumping), after time discretization, including in the case of anisotropic media. Error estimates are given for these new elements.",

keywords = "Elastodynamics, Mass lumping, Mixed finite elements",

author = "E. B{\'e}cache and P. Joly and C. Tsogka",

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month = dec,

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T1 - A new family of mixed finite elements for the linear elastodynamic problem

AU - Bécache, E.

AU - Joly, P.

AU - Tsogka, C.

PY - 2002/12/1

Y1 - 2002/12/1

N2 - We construct and analyze a new family of quadrangular (in two dimensions) or cubic (in three dimensions) mixed finite elements for the approximation of elastic wave equations. Our elements lead to explicit schemes (via mass lumping), after time discretization, including in the case of anisotropic media. Error estimates are given for these new elements.

AB - We construct and analyze a new family of quadrangular (in two dimensions) or cubic (in three dimensions) mixed finite elements for the approximation of elastic wave equations. Our elements lead to explicit schemes (via mass lumping), after time discretization, including in the case of anisotropic media. Error estimates are given for these new elements.

KW - Elastodynamics

KW - Mass lumping

KW - Mixed finite elements

U2 - 10.1137/S0036142999359189

DO - 10.1137/S0036142999359189

M3 - Article

AN - SCOPUS:0036556456

SN - 0036-1429

VL - 39

SP - 2109

EP - 2132

JO - SIAM Journal on Numerical Analysis

JF - SIAM Journal on Numerical Analysis

IS - 6

ER -

A new family of mixed finite elements for the linear elastodynamic problem

Abstract

Keywords

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