Solving the homogeneous isotropic linear elastodynamics equations using potentials and finite elements. The case of the rigid boundary condition

A. Burel; S. Impériale; P. Joly

doi:10.1134/S1995423912020061

Solving the homogeneous isotropic linear elastodynamics equations using potentials and finite elements. The case of the rigid boundary condition

A. Burel
, S. Impériale
, P. Joly

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

Abstract

In this article, elastic wave propagation in a homogeneous isotropic elastic medium with a rigid boundary is considered. A method based on the decoupling of pressure and shear waves via the use of scalar potentials is proposed. This method is adapted to a finite element discretization, which is discussed. A stable, energy preserving numerical scheme is presented, as well as 2D numerical results.

Original language	English
Pages (from-to)	136-143
Number of pages	8
Journal	Numerical Analysis and Applications
Volume	5
Issue number	2
DOIs	https://doi.org/10.1134/S1995423912020061
Publication status	Published - 1 Apr 2012

Keywords

clamped boundary condition
elastic wave propagation
finite elements
vector potentials

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10.1134/S1995423912020061

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title = "Solving the homogeneous isotropic linear elastodynamics equations using potentials and finite elements. The case of the rigid boundary condition",

abstract = "In this article, elastic wave propagation in a homogeneous isotropic elastic medium with a rigid boundary is considered. A method based on the decoupling of pressure and shear waves via the use of scalar potentials is proposed. This method is adapted to a finite element discretization, which is discussed. A stable, energy preserving numerical scheme is presented, as well as 2D numerical results.",

keywords = "clamped boundary condition, elastic wave propagation, finite elements, vector potentials",

author = "A. Burel and S. Imp{\'e}riale and P. Joly",

year = "2012",

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T1 - Solving the homogeneous isotropic linear elastodynamics equations using potentials and finite elements. The case of the rigid boundary condition

AU - Burel, A.

AU - Impériale, S.

AU - Joly, P.

PY - 2012/4/1

Y1 - 2012/4/1

N2 - In this article, elastic wave propagation in a homogeneous isotropic elastic medium with a rigid boundary is considered. A method based on the decoupling of pressure and shear waves via the use of scalar potentials is proposed. This method is adapted to a finite element discretization, which is discussed. A stable, energy preserving numerical scheme is presented, as well as 2D numerical results.

AB - In this article, elastic wave propagation in a homogeneous isotropic elastic medium with a rigid boundary is considered. A method based on the decoupling of pressure and shear waves via the use of scalar potentials is proposed. This method is adapted to a finite element discretization, which is discussed. A stable, energy preserving numerical scheme is presented, as well as 2D numerical results.

KW - clamped boundary condition

KW - elastic wave propagation

KW - finite elements

KW - vector potentials

UR - https://www.scopus.com/pages/publications/84862127600

U2 - 10.1134/S1995423912020061

DO - 10.1134/S1995423912020061

M3 - Article

AN - SCOPUS:84862127600

SN - 1995-4239

VL - 5

SP - 136

EP - 143

JO - Numerical Analysis and Applications

JF - Numerical Analysis and Applications

IS - 2

ER -

Solving the homogeneous isotropic linear elastodynamics equations using potentials and finite elements. The case of the rigid boundary condition

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Keywords

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