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Energy-based methods for time-dependent acoustic and elastic wave propagation Chan, Jesse
Description
Weight-adjusted inner products are easily invertible approximations to weighted L2 inner products and mass matrices. These approximations make it possible to formulate very simple time-domain discontinuous Galerkin (DG) discretizations for wave propagation based on the the energy of the system. The resulting methods are low storage, energy stable, and high-order accurate for acoustic and elastic wave propagation in arbitrary heterogeneous media and curvilinear meshes. We conclude with numerical results confirming the stability and high-order accuracy of weight-adjusted DG for acoustic, elastic, and coupled acoustic-elastic waves.
Item Metadata
Title |
Energy-based methods for time-dependent acoustic and elastic wave propagation
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2018-08-02T14:47
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Description |
Weight-adjusted inner products are easily invertible approximations to weighted L2 inner products and mass matrices. These approximations make it possible to formulate very simple time-domain discontinuous Galerkin (DG) discretizations for wave propagation based on the the energy of the system. The resulting methods are low storage, energy stable, and high-order accurate for acoustic and elastic wave propagation in arbitrary heterogeneous media and curvilinear meshes. We conclude with numerical results confirming the stability and high-order accuracy of weight-adjusted DG for acoustic, elastic, and coupled acoustic-elastic waves.
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Extent |
32.0
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Rice University
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Series | |
Date Available |
2019-03-17
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0377032
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Researcher
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International