A wavelet Galerkin finite-element method for the biot wave equation in the fluid-saturated porous medium

DOI10.1155/2009/142384zbMath1180.76036OpenAlexW2075915355WikidataQ58648878 ScholiaQ58648878MaRDI QIDQ1036269

Ke'an Liu, Jiaqi Liu, Xin-Ming Zhang

Publication date: 13 November 2009

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/45796

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Numerical methods for wavelets (65T60) Finite element methods applied to problems in fluid mechanics (76M10)

Cites Work

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• Applications of wavelet Galerkin FEM to bending of beam and plate structures
• A class of finite element methods based on orthonormal, compactly supported wavelets
• Symmetric wave propagation in a fluid-saturated incompressible porous medium
• An analytical solution for the transient response of saturated porous elastic solids
• Evaluation ofu -w andu - π finite element methods for the dynamic response of saturated porous media using one-dimensional models
• Orthonormal bases of compactly supported wavelets
• Using the Refinement Equation for Evaluating Integrals of Wavelets
• Transient wave propagation in a one-dimensional poroelastic column

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