4 research outputs found
On the electrical current distributions for the generalized Ohm's Law
The paper studies a particular class of analytic solutions for the
Generalized Ohm's Law, approached by means of the so called formal powers of
the Pseudoanalytic Function Theory. The reader will find a description of the
electrical current distributions inside bounded domains, within inhomogeneous
media, and their corresponding electric potentials near the boundary. Finally,
it is described a technique for approaching separable-variables conductivity
functions, a requisite when applying the constructive methods posed in this
work.Comment: 24 pages, 12 figure
A Regularization Process for Electrical Impedance Equation Employing Pseudoanalytic Function Theory
First Characterization of a New Method for Numerically Solving the Dirichlet Problem of the Two-Dimensional Electrical Impedance Equation
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