A Regularization Process for Electrical Impedance Equation Employing Pseudoanalytic Function Theory

The electrical impedance equation is considered an ill-posed problem where the solution to the forward problem is more easy to achieve than the inverse problem. This work tries to improve convergence in the forward problem method, where the Pseudoanalytic Function Theory by means of the Taylor serie...

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Bibliographic Details
Main Authors: Cesar Marco Antonio Robles Gonzalez, Ariana Guadalupe Bucio Ramirez, Volodymyr Ponomaryov, Marco Pedro Ramirez Tachiquin
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2014/964081
Description
Summary:The electrical impedance equation is considered an ill-posed problem where the solution to the forward problem is more easy to achieve than the inverse problem. This work tries to improve convergence in the forward problem method, where the Pseudoanalytic Function Theory by means of the Taylor series in formal powers is used, incorporating a regularization method to make a solution more stable and to obtain better convergence. In addition, we include a comparison between the designed algorithms that perform proposed method with and without a regularization process and the autoadjustment parameter for this regularization process.
ISSN:1024-123X
1563-5147