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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Formato: | Articulo |
Lenguaje: | Inglés |
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2013
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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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I19-R120-10915-100100 |
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institution |
Universidad Nacional de La Plata |
institution_str |
I-19 |
repository_str |
R-120 |
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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 |
bdutipo_str |
Repositorios |
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1764820439845044225 |