Numerical convergence studies of the mixed finite element method for natural convection flow in a fluid-saturated porous medium

2006 ◽  
Vol 20 (10) ◽  
pp. 657-671 ◽  
Author(s):  
Jeff Chak-Fu Wong ◽  
Peng Yuan
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Porous Medium ◽  
Saturated Porous Medium ◽  
Mixed Finite Element ◽  
Mixed Finite Element Method ◽  
Convection Flow ◽  
Natural Convection Flow ◽  
Numerical Convergence ◽  
Fluid Saturated Porous Medium

scholarly journals A Wavelet Galerkin Finite-Element Method for the Biot Wave Equation in the Fluid-Saturated Porous Medium

2009 ◽  
Vol 2009 ◽  
pp. 1-18
Author(s):  
Xinming Zhang ◽  
Jiaqi Liu ◽  
Ke'an Liu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Porous Medium ◽  
Saturated Porous Medium ◽  
Wavelet Coefficient ◽  
Galerkin Finite Element Method ◽  
Daubechies Wavelets ◽  
Galerkin Finite Element ◽  
Fluid Saturated Porous Medium ◽  
Element Method

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.

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