An efficient high-order multiscale finite element method for frequency-domain elastic wave modeling
- Authors:
-
[2];
- Chinese Univ. of Hong Kong (China)
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Texas A & M Univ., College Station, TX (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE Office of Energy Efficiency and Renewable Energy (EERE). Geothermal Technologies Office (EE-4G)
- OSTI Identifier:
- 1558964
- Alternate Identifier(s):
- OSTI ID: 1558962
- Report Number(s):
- LA-UR-18-27125; LA-UR-18-24382
Journal ID: ISSN 1420-0597
- Grant/Contract Number:
- 89233218CNA000001
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Computational Geosciences
- Additional Journal Information:
- Journal Volume: 23; Journal Issue: 5; Journal ID: ISSN 1420-0597
- Publisher:
- Springer
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 58 GEOSCIENCES; 97 MATHEMATICS AND COMPUTING; Earth Sciences
Citation Formats
Fu, Shubin, Gao, Kai, Gibson Jr., Richard, and Chung, Eric T. An efficient high-order multiscale finite element method for frequency-domain elastic wave modeling. United States: N. p., 2019.
Web. doi:10.1007/s10596-019-09865-0.
Fu, Shubin, Gao, Kai, Gibson Jr., Richard, & Chung, Eric T. An efficient high-order multiscale finite element method for frequency-domain elastic wave modeling. United States. https://doi.org/10.1007/s10596-019-09865-0
Fu, Shubin, Gao, Kai, Gibson Jr., Richard, and Chung, Eric T. Thu .
"An efficient high-order multiscale finite element method for frequency-domain elastic wave modeling". United States. https://doi.org/10.1007/s10596-019-09865-0. https://www.osti.gov/servlets/purl/1558964.
@article{osti_1558964,
title = {An efficient high-order multiscale finite element method for frequency-domain elastic wave modeling},
author = {Fu, Shubin and Gao, Kai and Gibson Jr., Richard and Chung, Eric T.},
abstractNote = {},
doi = {10.1007/s10596-019-09865-0},
journal = {Computational Geosciences},
number = 5,
volume = 23,
place = {United States},
year = {Thu Aug 08 00:00:00 EDT 2019},
month = {Thu Aug 08 00:00:00 EDT 2019}
}
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Figures / Tables:
Figure 1: A two-level composite mesh in our HMsFEM. Blue thick lines represent the coarse mesh, while the black thin lines represent the fine mesh. The red dashed line indicates an oversampling coarse element. In our tests, however, we use a simple structured mesh, a simplified version of the meshmore »
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Works referenced in this record:
Multiscale modeling of acoustic wave propagation in 2D media
journal, March 2014
- Gibson, Richard L.; Gao, Kai; Chung, Eric
- GEOPHYSICS, Vol. 79, Issue 2
Lebedev scheme for the numerical simulation of wave propagation in 3D anisotropic elasticity‡: Lebedev scheme for numerical simulation of wave propagation
journal, January 2010
- Lisitsa, Vadim; Vishnevskiy, Dmitriy
- Geophysical Prospecting, Vol. 58, Issue 4
Massively parallel structured direct solver for equations describing time-harmonic qP-polarized waves in TTI media
journal, May 2012
- Wang, Shen; Xia, Jianlin; de Hoop, Maarten V.
- GEOPHYSICS, Vol. 77, Issue 3
An exact Riemann solver for wave propagation in arbitrary anisotropic elastic media with fluid coupling
journal, February 2018
- Zhan, Qiwei; Ren, Qiang; Zhuang, Mingwei
- Computer Methods in Applied Mechanics and Engineering, Vol. 329
A Galerkin least-squares finite element method for the two-dimensional Helmholtz equation
journal, February 1995
- Thompson, Lonny L.; Pinsky, Peter M.
- International Journal for Numerical Methods in Engineering, Vol. 38, Issue 3
High-order finite difference methods for the Helmholtz equation
journal, September 1998
- Singer, I.; Turkel, E.
- Computer Methods in Applied Mechanics and Engineering, Vol. 163, Issue 1-4
A perfectly matched layer for the absorption of electromagnetic waves
journal, October 1994
- Berenger, Jean-Pierre
- Journal of Computational Physics, Vol. 114, Issue 2
A Nearly Analytic Discrete Method for Acoustic and Elastic Wave Equations in Anisotropic Media
journal, April 2003
- Yang, D.
- Bulletin of the Seismological Society of America, Vol. 93, Issue 2
A staggered discontinuous Galerkin method for the simulation of seismic waves with surface topography
journal, July 2015
- Chung, Eric T.; Lam, Chi Yeung; Qian, Jianliang
- GEOPHYSICS, Vol. 80, Issue 4
A Novel Multigrid Based Preconditioner For Heterogeneous Helmholtz Problems
journal, January 2006
- Erlangga, Y. A.; Oosterlee, C. W.; Vuik, C.
- SIAM Journal on Scientific Computing, Vol. 27, Issue 4
Spectral element method for elastic and acoustic waves in frequency domain
journal, December 2016
- Shi, Linlin; Zhou, Yuanguo; Wang, Jia-Min
- Journal of Computational Physics, Vol. 327
Fourth‐order finite‐difference P-SV seismograms
journal, November 1988
- Levander, Alan R.
- GEOPHYSICS, Vol. 53, Issue 11
P-SV wave propagation in heterogeneous media: Velocity‐stress finite‐difference method
journal, April 1986
- Virieux, Jean
- GEOPHYSICS, Vol. 51, Issue 4
Wavenumber Explicit Convergence Analysis for Galerkin Discretizations of the Helmholtz Equation
journal, January 2011
- Melenk, J. M.; Sauter, S.
- SIAM Journal on Numerical Analysis, Vol. 49, Issue 3
Compact finite difference schemes of sixth order for the Helmholtz equation
journal, June 2007
- Sutmann, Godehard
- Journal of Computational and Applied Mathematics, Vol. 203, Issue 1
An overview of SuperLU: Algorithms, implementation, and user interface
journal, September 2005
- Li, Xiaoye S.
- ACM Transactions on Mathematical Software, Vol. 31, Issue 3
Sweeping preconditioners for elastic wave propagation with spectral element methods
journal, February 2014
- Tsuji, Paul; Poulson, Jack; Engquist, Björn
- ESAIM: Mathematical Modelling and Numerical Analysis, Vol. 48, Issue 2
Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers
journal, April 2011
- Engquist, Björn; Ying, Lexing
- Multiscale Modeling & Simulation, Vol. 9, Issue 2
A numerical homogenization method for heterogeneous, anisotropic elastic media based on multiscale theory
journal, July 2015
- Gao, Kai; Chung, Eric T.; Gibson, Richard L.
- GEOPHYSICS, Vol. 80, Issue 4
Plane Wave Discontinuous Galerkin Methods for the 2D Helmholtz Equation: Analysis of the p -Version
journal, January 2011
- Hiptmair, R.; Moiola, A.; Perugia, I.
- SIAM Journal on Numerical Analysis, Vol. 49, Issue 1
2-D non-periodic homogenization to upscale elastic media for P-SV waves: 2-D non-periodic homogenization, PSV case
journal, June 2010
- Capdeville, Yann; Guillot, Laurent; Marigo, Jean-Jacques
- Geophysical Journal International, Vol. 182, Issue 2
On 3D modeling of seismic wave propagation via a structured parallel multifrontal direct Helmholtz solver
journal, August 2011
- Wang, Shen; de Hoop, Maarten V.; Xia, Jianlin
- Geophysical Prospecting, Vol. 59, Issue 5
Multiscale finite element methods for high-contrast problems using local spectral basis functions
journal, February 2011
- Efendiev, Yalchin; Galvis, Juan; Wu, Xiao-Hui
- Journal of Computational Physics, Vol. 230, Issue 4
Learning dominant wave directions for plane wave methods for high-frequency Helmholtz equations
journal, May 2017
- Fang, Jun; Qian, Jianliang; Zepeda-Núñez, Leonardo
- Research in the Mathematical Sciences, Vol. 4, Issue 1
Using Plane Waves as Base Functions for Solving Time Harmonic Equations with the Ultra Weak Variational Formulation
journal, June 2003
- Cessenat, Olivier; Després, Bruno
- Journal of Computational Acoustics, Vol. 11, Issue 02
Improved accuracy for the Helmholtz equation in unbounded domains
journal, April 2004
- Turkel, Eli; Farhat, Charbel; Hetmaniuk, Ulrich
- International Journal for Numerical Methods in Engineering, Vol. 59, Issue 15
An Efficient Multiscale Finite‐Element Method for Frequency‐Domain Seismic Wave Propagation
journal, February 2018
- Gao, Kai; Fu, Shubin; Chung, Eric T.
- Bulletin of the Seismological Society of America, Vol. 108, Issue 2
Earthquake ground motion modeling on parallel computers
conference, January 1996
- Bao, Hesheng; Bielak, Jacobo; Ghattas, Omar
- Proceedings of the 1996 ACM/IEEE conference on Supercomputing (CDROM) - Supercomputing '96
Preasymptotic Error Analysis of CIP-FEM and FEM for Helmholtz Equation with High Wave Number. Part II: $hp$ Version
journal, January 2013
- Zhu, Lingxue; Wu, Haijun
- SIAM Journal on Numerical Analysis, Vol. 51, Issue 3
Wavenumber explicit convergence analysis for finite element discretizations of general wave propagation problems
journal, May 2019
- Chaumont-Frelet, T.; Nicaise, S.
- IMA Journal of Numerical Analysis
A rapidly converging domain decomposition method for the Helmholtz equation
journal, May 2013
- C. Stolk, Christiaan
- Journal of Computational Physics, Vol. 241
Sweeping preconditioner for the Helmholtz equation: Hierarchical matrix representation
journal, February 2011
- Engquist, Björn; Ying, Lexing
- Communications on Pure and Applied Mathematics, Vol. 64, Issue 5
Seismic imaging of complex onshore structures by 2D elastic frequency-domain full-waveform inversion
journal, November 2009
- Brossier, Romain; Operto, Stéphane; Virieux, Jean
- GEOPHYSICS, Vol. 74, Issue 6
3D finite-difference frequency-domain modeling of visco-acoustic wave propagation using a massively parallel direct solver: A feasibility study
journal, September 2007
- Operto, Stéphane; Virieux, Jean; Amestoy, Patrick
- GEOPHYSICS, Vol. 72, Issue 5
Second order homogenization of the elastic wave equation for non-periodic layered media
journal, August 2007
- Capdeville, Y.; Marigo, J. -J.
- Geophysical Journal International, Vol. 170, Issue 2
A dispersion minimizing finite difference scheme and preconditioned solver for the 3D Helmholtz equation
journal, October 2012
- Chen, Zhongying; Cheng, Dongsheng; Wu, Tingting
- Journal of Computational Physics, Vol. 231, Issue 24
Application of the perfectly matched absorbing layer model to the linear elastodynamic problem in anisotropic heterogeneous media
journal, January 2001
- Collino, Francis; Tsogka, Chrysoula
- GEOPHYSICS, Vol. 66, Issue 1
Generalized Multiscale Finite Element Methods for Wave Propagation in Heterogeneous Media
journal, January 2014
- Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat
- Multiscale Modeling & Simulation, Vol. 12, Issue 4
Compact 2D and 3D sixth order schemes for the Helmholtz equation with variable wave number
journal, January 2013
- Turkel, Eli; Gordon, Dan; Gordon, Rachel
- Journal of Computational Physics, Vol. 232, Issue 1
Seismic waveform inversion in the frequency domain, Part 1: Theory and verification in a physical scale model
journal, May 1999
- Pratt, R. Gerhard
- GEOPHYSICS, Vol. 64, Issue 3
On high order methods for the heterogeneous Helmholtz equation
journal, November 2016
- Chaumont-Frelet, Théophile
- Computers & Mathematics with Applications, Vol. 72, Issue 9
Introduction to the spectral element method for three-dimensional seismic wave propagation
journal, December 1999
- Komatitsch, Dimitri; Tromp, Jeroen
- Geophysical Journal International, Vol. 139, Issue 3
A Parallel Sweeping Preconditioner for Heterogeneous 3D Helmholtz Equations
journal, January 2013
- Poulson, Jack; Engquist, Björn; Li, Siwei
- SIAM Journal on Scientific Computing, Vol. 35, Issue 3
The pseudospectral method: Accurate representation of interfaces in elastic wave calculations
journal, May 1988
- Fornberg, Bengt
- GEOPHYSICS, Vol. 53, Issue 5
A generalized plane-wave numerical method for smooth nonconstant coefficients
journal, October 2013
- Imbert-Gerard, L. -M.; Despres, B.
- IMA Journal of Numerical Analysis, Vol. 34, Issue 3
A high-order discontinuous Galerkin method for wave propagation through coupled elastic–acoustic media
journal, December 2010
- Wilcox, Lucas C.; Stadler, Georg; Burstedde, Carsten
- Journal of Computational Physics, Vol. 229, Issue 24
Parallel Computation of Entries of ${A}^{-1}$
journal, January 2015
- Amestoy, Patrick R.; Duff, Iain S.; L'Excellent, Jean-Yves
- SIAM Journal on Scientific Computing, Vol. 37, Issue 2
A discontinuous Galerkin method with Lagrange multipliers for the solution of Helmholtz problems in the mid-frequency regime
journal, March 2003
- Farhat, Charbel; Harari, Isaac; Hetmaniuk, Ulrich
- Computer Methods in Applied Mechanics and Engineering, Vol. 192, Issue 11-12
3-D finite-difference, finite-element, discontinuous-Galerkin and spectral-element schemes analysed for their accuracy with respect to P-wave to S-wave speed ratio: Accuracy of the seismic numerical schemes
journal, October 2011
- Moczo, Peter; Kristek, Jozef; Galis, Martin
- Geophysical Journal International, Vol. 187, Issue 3
An overview of full-waveform inversion in exploration geophysics
journal, November 2009
- Virieux, J.; Operto, S.
- GEOPHYSICS, Vol. 74, Issue 6
2D and 3D frequency-domain elastic wave modeling in complex media with a parallel iterative solver
journal, May 2015
- Li, Yang; Métivier, Ludovic; Brossier, Romain
- GEOPHYSICS, Vol. 80, Issue 3
Generalized multiscale finite element methods (GMsFEM)
journal, October 2013
- Efendiev, Yalchin; Galvis, Juan; Hou, Thomas Y.
- Journal of Computational Physics, Vol. 251
A high-order multiscale finite-element method for time-domain acoustic-wave modeling
journal, May 2018
- Gao, Kai; Fu, Shubin; Chung, Eric T.
- Journal of Computational Physics, Vol. 360
An unsplit convolutional perfectly matched layer technique improved at grazing incidence for the viscoelastic wave equation
journal, October 2009
- Martin, Roland; Komatitsch, Dimitri
- Geophysical Journal International, Vol. 179, Issue 1
Modeling the propagation of elastic waves using a modified finite-difference grid
journal, January 2000
- Saenger, Erik H.; Gold, Norbert; Shapiro, Serge A.
- Wave Motion, Vol. 31, Issue 1
Elastic full-waveform inversion application using multicomponent measurements of seismic data collection
journal, March 2014
- Vigh, Denes; Jiao, Kun; Watts, Dave
- GEOPHYSICS, Vol. 79, Issue 2
The mean transmission properties of a fault with imperfect facial contact
journal, June 1997
- Hudson, J. A.; Liu, Enru; Crampin, Stuart
- Geophysical Journal International, Vol. 129, Issue 3
Multiscale Finite Element Methods for Nonlinear Problems and Their Applications
journal, January 2004
- Efendiev, Y.; Ginting, V.; Hou, T. Y.
- Communications in Mathematical Sciences, Vol. 2, Issue 4
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