First Characterization of a New Method for Numerically Solving the Dirichlet Problem of the Two-Dimensional Electrical Impedance Equation | Zendy

Marco Pedro Ramirez-Tachiquin | Zendy; Cesar Marco Antonio Robles Gonzalez | Zendy; R. A. Hernandez-Becerril | Zendy; Ariana Guadalupe Bucio Ramirez | Zendy

Open Access

First Characterization of a New Method for Numerically Solving the Dirichlet Problem of the Two-Dimensional Electrical Impedance Equation

Author(s) -

Marco Pedro Ramirez-Tachiquin,

Cesar Marco Antonio Robles Gonzalez,

R. A. Hernandez-Becerril,

Ariana Guadalupe Bucio Ramirez

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/493483

Subject(s) - electrical impedance tomography , mathematics , piecewise , mathematical analysis , boundary value problem , dirichlet boundary condition , electrical impedance , physics , quantum mechanics

Based upon the elements of the modern pseudoanalytic function theory, we analyze a new method for numerically solving the forward Dirichletboundary value problem corresponding to the two-dimensional electricalimpedance equation. The analysis is performed by introducing interpolating piecewise separable-variables conductivity functions in the unitcircle. To warrant the effectiveness of the posed method, we considerseveral examples of conductivity functions, whose boundary conditionsare exact solutions of the electrical impedance equation, performing abrief comparison with the finite element method. Finally, we discussthe possible contributions of these results to the field of the electricalimpedance tomography

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