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Combination of the discontinuous Galerkin method with finite differences for simulation of seismic wave propagation. / Lisitsa, Vadim; Tcheverda, Vladimir; Botter, Charlotte.

In: Journal of Computational Physics, Vol. 311, 15.04.2016, p. 142-157.

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

Harvard

Lisitsa, V, Tcheverda, V & Botter, C 2016, 'Combination of the discontinuous Galerkin method with finite differences for simulation of seismic wave propagation', Journal of Computational Physics, vol. 311, pp. 142-157. https://doi.org/10.1016/j.jcp.2016.02.005

APA

Lisitsa, V., Tcheverda, V., & Botter, C. (2016). Combination of the discontinuous Galerkin method with finite differences for simulation of seismic wave propagation. Journal of Computational Physics, 311, 142-157. https://doi.org/10.1016/j.jcp.2016.02.005

Vancouver

Lisitsa V, Tcheverda V, Botter C. Combination of the discontinuous Galerkin method with finite differences for simulation of seismic wave propagation. Journal of Computational Physics. 2016 Apr 15;311:142-157. doi: 10.1016/j.jcp.2016.02.005

Author

Lisitsa, Vadim ; Tcheverda, Vladimir ; Botter, Charlotte. / Combination of the discontinuous Galerkin method with finite differences for simulation of seismic wave propagation. In: Journal of Computational Physics. 2016 ; Vol. 311. pp. 142-157.

BibTeX

@article{e2305c390d9147ba9f059a6b769a5a5a,
title = "Combination of the discontinuous Galerkin method with finite differences for simulation of seismic wave propagation",
abstract = "We present an algorithm for the numerical simulation of seismic wave propagation in models with a complex near surface part and free surface topography. The approach is based on the combination of finite differences with the discontinuous Galerkin method. The discontinuous Galerkin method can be used on polyhedral meshes; thus, it is easy to handle the complex surfaces in the models. However, this approach is computationally intense in comparison with finite differences. Finite differences are computationally efficient, but in general, they require rectangular grids, leading to the stair-step approximation of the interfaces, which causes strong diffraction of the wavefield. In this research we present a hybrid algorithm where the discontinuous Galerkin method is used in a relatively small upper part of the model and finite differences are applied to the main part of the model.",
keywords = "Discontinuous Galerkin method, Finite differences, Wave propagation",
author = "Vadim Lisitsa and Vladimir Tcheverda and Charlotte Botter",
year = "2016",
month = apr,
day = "15",
doi = "10.1016/j.jcp.2016.02.005",
language = "English",
volume = "311",
pages = "142--157",
journal = "Journal of Computational Physics",
issn = "0021-9991",
publisher = "Academic Press Inc.",

}

RIS

TY - JOUR

T1 - Combination of the discontinuous Galerkin method with finite differences for simulation of seismic wave propagation

AU - Lisitsa, Vadim

AU - Tcheverda, Vladimir

AU - Botter, Charlotte

PY - 2016/4/15

Y1 - 2016/4/15

N2 - We present an algorithm for the numerical simulation of seismic wave propagation in models with a complex near surface part and free surface topography. The approach is based on the combination of finite differences with the discontinuous Galerkin method. The discontinuous Galerkin method can be used on polyhedral meshes; thus, it is easy to handle the complex surfaces in the models. However, this approach is computationally intense in comparison with finite differences. Finite differences are computationally efficient, but in general, they require rectangular grids, leading to the stair-step approximation of the interfaces, which causes strong diffraction of the wavefield. In this research we present a hybrid algorithm where the discontinuous Galerkin method is used in a relatively small upper part of the model and finite differences are applied to the main part of the model.

AB - We present an algorithm for the numerical simulation of seismic wave propagation in models with a complex near surface part and free surface topography. The approach is based on the combination of finite differences with the discontinuous Galerkin method. The discontinuous Galerkin method can be used on polyhedral meshes; thus, it is easy to handle the complex surfaces in the models. However, this approach is computationally intense in comparison with finite differences. Finite differences are computationally efficient, but in general, they require rectangular grids, leading to the stair-step approximation of the interfaces, which causes strong diffraction of the wavefield. In this research we present a hybrid algorithm where the discontinuous Galerkin method is used in a relatively small upper part of the model and finite differences are applied to the main part of the model.

KW - Discontinuous Galerkin method

KW - Finite differences

KW - Wave propagation

UR - http://www.scopus.com/inward/record.url?scp=84957812998&partnerID=8YFLogxK

U2 - 10.1016/j.jcp.2016.02.005

DO - 10.1016/j.jcp.2016.02.005

M3 - Article

AN - SCOPUS:84957812998

VL - 311

SP - 142

EP - 157

JO - Journal of Computational Physics

JF - Journal of Computational Physics

SN - 0021-9991

ER -

ID: 25777334