scholarly journals Forward Model of Electrical Impedance GeoTomography with Point Electrode Model Based on Mixed Finite Element Method: MATLAB Programming Notes

2017 ◽  
Author(s):  
Agah D. Garnadi ◽  
Corinna Bahriawati
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Electrical Impedance ◽  
Mixed Finite Element ◽  
Mixed Finite Element Method ◽  
Field Vector ◽  
Forward Model ◽  
Matlab Implementation ◽  
Matlab Programming ◽  
Element Method

We address the need of forward model of electrical impedance geotomography using Mixed Finite Element Method.We use the mixed finite-element method with the standard P1- P0 pair for triangular decompositions for calculating model responses, which makes it possible to compute both the electric potential and the electric field vector economically. For MATLAB implementation, the routine available is easy to modify without hasle.

scholarly journals A New Positive Definite Expanded Mixed Finite Element Method for Parabolic Integrodifferential Equations

2012 ◽  
Vol 2012 ◽  
pp. 1-24 ◽  
Author(s):  
Yang Liu ◽  
Hong Li ◽  
Jinfeng Wang ◽  
Wei Gao
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Mixed Finite Element ◽  
Mixed Finite Element Method ◽  
Positive Definite ◽  
Integrodifferential Equations ◽  
Fully Discrete ◽  
Mixed Scheme ◽  
Expanded Mixed Finite Element ◽  
Element Method

A new positive definite expanded mixed finite element method is proposed for parabolic partial integrodifferential equations. Compared to expanded mixed scheme, the new expanded mixed element system is symmetric positive definite and both the gradient equation and the flux equation are separated from its scalar unknown equation. The existence and uniqueness for semidiscrete scheme are proved and error estimates are derived for both semidiscrete and fully discrete schemes. Finally, some numerical results are provided to confirm our theoretical analysis.

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