Discontinuous Galerkin methods for solving the acoustic wave equation

In this work we develop a numerical simulator for the propagation of elastic waves by solving the one-dimensional acoustic wave equation with Absorbing Boundary Conditions (ABC’s) on the computational boundaries using Discontinuous Galerkin Finite Element Methods (DGFEM). The DGFEM allows us to easi...

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Autores principales: Castromán, Gabriel Alejandro, Zyserman, Fabio Iván
Formato: Articulo
Lenguaje:Inglés
Publicado: 2013
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/100100
https://ri.conicet.gov.ar/11336/23521
http://www.cimec.org.ar/ojs/index.php/mc/article/view/4592
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id I19-R120-10915-100100
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Discontinuous galerkin methods
Wave equation
Absorbing boundary conditions
Fractured medium
Linear slip model
spellingShingle Física
Discontinuous galerkin methods
Wave equation
Absorbing boundary conditions
Fractured medium
Linear slip model
Castromán, Gabriel Alejandro
Zyserman, Fabio Iván
Discontinuous Galerkin methods for solving the acoustic wave equation
topic_facet Física
Discontinuous galerkin methods
Wave equation
Absorbing boundary conditions
Fractured medium
Linear slip model
description In this work we develop a numerical simulator for the propagation of elastic waves by solving the one-dimensional acoustic wave equation with Absorbing Boundary Conditions (ABC’s) on the computational boundaries using Discontinuous Galerkin Finite Element Methods (DGFEM). The DGFEM allows us to easily simulate the presence of a fracture in the elastic medium by means of a linear-slip model. We analize the behaviour of our algorithm by comparing its results against analytic solutions. Furthermore, we show the frequency-dependent effect on the propagation produced by the fracture as appears in previous works. Finally, we present an analysis of the numerical parameters of the method.
format Articulo
Articulo
author Castromán, Gabriel Alejandro
Zyserman, Fabio Iván
author_facet Castromán, Gabriel Alejandro
Zyserman, Fabio Iván
author_sort Castromán, Gabriel Alejandro
title Discontinuous Galerkin methods for solving the acoustic wave equation
title_short Discontinuous Galerkin methods for solving the acoustic wave equation
title_full Discontinuous Galerkin methods for solving the acoustic wave equation
title_fullStr Discontinuous Galerkin methods for solving the acoustic wave equation
title_full_unstemmed Discontinuous Galerkin methods for solving the acoustic wave equation
title_sort discontinuous galerkin methods for solving the acoustic wave equation
publishDate 2013
url http://sedici.unlp.edu.ar/handle/10915/100100
https://ri.conicet.gov.ar/11336/23521
http://www.cimec.org.ar/ojs/index.php/mc/article/view/4592
work_keys_str_mv AT castromangabrielalejandro discontinuousgalerkinmethodsforsolvingtheacousticwaveequation
AT zysermanfabioivan discontinuousgalerkinmethodsforsolvingtheacousticwaveequation
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