A truncated implicit high-order finite-difference scheme combined with boundary conditions

In this paper, first we calculate finite-difference coefficients of implicit finitedifference methods (IFDM) for the first- and second-order derivatives on normal grids and firstorder derivatives on staggered grids and find that small coefficients of high-order IFDMs exist. Dispersion analysis demon...

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Bibliographic Details
Published in:Applied geophysics 2013-03, Vol.10 (1), p.53-62
Main Authors: Chang, Suo-Liang, Liu, Yang
Format: Article
Language:English
Subjects:
Accuracy
Boundaries
Boundary conditions
Computational efficiency
Derivatives
Earth and Environmental Science
Earth Sciences
Elastic waves
Finite difference method
Geophysics
Geophysics/Geodesy
Geotechnical Engineering & Applied Earth Sciences
Mathematical analysis
Mathematical models
Simulation
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Summary:In this paper, first we calculate finite-difference coefficients of implicit finitedifference methods (IFDM) for the first- and second-order derivatives on normal grids and firstorder derivatives on staggered grids and find that small coefficients of high-order IFDMs exist. Dispersion analysis demonstrates that omitting these small coefficients can retain approximately the same order accuracy but greatly reduce computational costs. Then, we introduce a mirrorimage symmetric boundary condition to improve IFDMs accuracy and stability and adopt the hybrid absorbing boundary condition (ABC) to reduce unwanted reflections from the model boundary. Last, we give elastic wave modeling examples for homogeneous and heterogeneous models to demonstrate the advantages of the proposed scheme.
ISSN:1672-7975
1993-0658
DOI:10.1007/s11770-012-0342-4