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A Wavelet Galerkin Finite-Element Method for the Biot Wave Equation in the Fluid-Saturated Porous Medium
Joint Authors
Liu, Jiaqi
Liu, Ke'an
Zhang, Xin-Ming
Source
Mathematical Problems in Engineering
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-10-27
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
A wavelet Galerkin finite-element method is proposed by combining the wavelet analysis with traditional finite-element method to analyze wave propagation phenomena in fluid-saturated porous medium.
The scaling functions of Daubechies wavelets are considered as the interpolation basis functions to replace the polynomial functions, and then the wavelet element is constructed.
In order to overcome the integral difficulty for lacking of the explicit expression for the Daubechies wavelets, a kind of characteristic function is introduced.
The recursive expression of calculating the function values of Daubechies wavelets on the fraction nodes is deduced, and the rapid wavelet transform between the wavelet coefficient space and the wave field displacement space is constructed.
The results of numerical simulation demonstrate that the method is effective.
American Psychological Association (APA)
Zhang, Xin-Ming& Liu, Jiaqi& Liu, Ke'an. 2009. A Wavelet Galerkin Finite-Element Method for the Biot Wave Equation in the Fluid-Saturated Porous Medium. Mathematical Problems in Engineering،Vol. 2009, no. 2009, pp.1-18.
https://search.emarefa.net/detail/BIM-449095
Modern Language Association (MLA)
Zhang, Xin-Ming…[et al.]. A Wavelet Galerkin Finite-Element Method for the Biot Wave Equation in the Fluid-Saturated Porous Medium. Mathematical Problems in Engineering No. 2009 (2009), pp.1-18.
https://search.emarefa.net/detail/BIM-449095
American Medical Association (AMA)
Zhang, Xin-Ming& Liu, Jiaqi& Liu, Ke'an. A Wavelet Galerkin Finite-Element Method for the Biot Wave Equation in the Fluid-Saturated Porous Medium. Mathematical Problems in Engineering. 2009. Vol. 2009, no. 2009, pp.1-18.
https://search.emarefa.net/detail/BIM-449095
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-449095