First Characterization of a New Method for Numerically Solving the Dirichlet Problem of the Two-Dimensional Electrical Impedance Equation
Joint Authors
Bucio Ramirez, Ariana Guadalupe
Hernandez-Becerril, Rogelio Adrian
Robles Gonzalez, Cesar Marco Antonio
Ramirez-Tachiquin, Marco Pedro
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-24
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
Based upon the elements of the modern pseudoanalytic function theory, we analyze a new method for numerically solving the forward Dirichlet boundary value problem corresponding to the two-dimensional electrical impedance equation.
The analysis is performed by introducing interpolating piecewise separable-variables conductivity functions in the unit circle.
To warrant the effectiveness of the posed method, we consider several examples of conductivity functions, whose boundary conditions are exact solutions of the electrical impedance equation, performing a brief comparison with the finite element method.
Finally, we discuss the possible contributions of these results to the field of the electrical impedance tomography.
American Psychological Association (APA)
Ramirez-Tachiquin, Marco Pedro& Robles Gonzalez, Cesar Marco Antonio& Hernandez-Becerril, Rogelio Adrian& Bucio Ramirez, Ariana Guadalupe. 2013. First Characterization of a New Method for Numerically Solving the Dirichlet Problem of the Two-Dimensional Electrical Impedance Equation. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-476056
Modern Language Association (MLA)
Ramirez-Tachiquin, Marco Pedro…[et al.]. First Characterization of a New Method for Numerically Solving the Dirichlet Problem of the Two-Dimensional Electrical Impedance Equation. Journal of Applied Mathematics No. 2013 (2013), pp.1-14.
https://search.emarefa.net/detail/BIM-476056
American Medical Association (AMA)
Ramirez-Tachiquin, Marco Pedro& Robles Gonzalez, Cesar Marco Antonio& Hernandez-Becerril, Rogelio Adrian& Bucio Ramirez, Ariana Guadalupe. First Characterization of a New Method for Numerically Solving the Dirichlet Problem of the Two-Dimensional Electrical Impedance Equation. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-476056
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-476056