Weighted-averaging finite-element method for scalar wave equation in the frequency domain
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Title
- Weighted-averaging finite-element method for scalar wave equation in the frequency domain
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Author(s)
- Min, DJ; Yoo, HS; Shin, C; Hyun, HJ; Suh, JH
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Alternative Author(s)
- 민동주; 유해수
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Publication Year
- 2002-07
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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 introduces three kinds of supplementary element sets in addition to a basic element set 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 1% upper 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 32.7% 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 previous finite-element methods.
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ISSN
- 0963-0651
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URI
- https://sciwatch.kiost.ac.kr/handle/2020.kiost/5690
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Bibliographic Citation
- JOURNAL OF SEISMIC EXPLORATION, v.11, no.3, pp.197 - 222, 2002
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Publisher
- GEOPHYSICAL PRESS
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Subject
- DIFFERENCE; EXTRAPOLATOR; OPERATORS; ACCURACY; SPACE
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Keywords
- weighted-averaging finite-element method; scalar wave equation; frequency domain; weighting coefficients; synthetic seismograms
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Type
- Article
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Language
- English
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Document Type
- Article
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