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Weighted-Averaging Finite-Element Method for Scalar Wave Equation in the Frequency Domain

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Authors
Min, Dong-Joo; Yoo, Hai Soo; Shin, Changsoo; Hyun, Hye-Ja; Suh, Jung Hee
Issue Date
2002
Publisher
Geophysical Press
Citation
Journal of Seismic Exploration, 11: 197-222
Keywords
weighted-averaging finite-element methodscalar wave equationfrequency domainweighting coefficientsynthetic seismograms
Abstract
We develop a new weighted-averaging finite-element method which can be applied to
generate synthetic seismograms using scalar wave equation in the frequency domain. Our method
introducest hree kinds of supplementarye lements etsi n addition to a basic elements et which is used
in standard finite-element method. By constructing global stiffness and mass matrices for four kinds
of element sets and then averaging them with weighting coefficients, we obtain a,new global stiffness
and mass matrix. With the optimal weighting coefficients minimizing grid dispersion and grid
anisotropy, we can reduce the number of grid points required per wavelength to 4 for a l% tpper
limit of error. This reduction of the number of grid points, achieved by using the weighted-averaging
finite-element method, makes it possible to reduce computer memory to 32.7Vo of that for the
eclectic finite-element method. We confirm the accuracy of our weighted-averaging finite-element
method through accuracy analyses for a homogeneous and a horizontal-layer model. By synthetic
data example, we reconfirm that our method is more efficient for simulating a geological model than
previousf inite-element methods
ISSN
0963-0651
Language
English
URI
http://www.geophysical-press.com

https://hdl.handle.net/10371/6126
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