A Regularization Process for Electrical Impedance Equation Employing Pseudoanalytic Function Theory

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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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
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spelling doaj-38ca1b1620104f6681304e736f14a5a22020-11-24T22:37:35ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472014-01-01201410.1155/2014/964081964081A Regularization Process for Electrical Impedance Equation Employing Pseudoanalytic Function TheoryCesar Marco Antonio Robles Gonzalez0Ariana Guadalupe Bucio Ramirez1Volodymyr Ponomaryov2Marco Pedro Ramirez Tachiquin3Instituto Politecnico Nacional, SEPI ESIME Culhuacan, Avenida Santa Ana No. 1000, 04430 Ciudad de México, DF, MexicoInstituto Politecnico Nacional, SEPI UPIITA, Avenida IPN 2580, 07340 Ciudad de México, DF, MexicoInstituto Politecnico Nacional, SEPI ESIME Culhuacan, Avenida Santa Ana No. 1000, 04430 Ciudad de México, DF, MexicoInstituto Politecnico Nacional, SEPI ESIME Culhuacan, Avenida Santa Ana No. 1000, 04430 Ciudad de México, DF, MexicoThe 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.http://dx.doi.org/10.1155/2014/964081
collection DOAJ
language English
format Article
sources DOAJ
author Cesar Marco Antonio Robles Gonzalez
Ariana Guadalupe Bucio Ramirez
Volodymyr Ponomaryov
Marco Pedro Ramirez Tachiquin
spellingShingle Cesar Marco Antonio Robles Gonzalez
Ariana Guadalupe Bucio Ramirez
Volodymyr Ponomaryov
Marco Pedro Ramirez Tachiquin
A Regularization Process for Electrical Impedance Equation Employing Pseudoanalytic Function Theory
Mathematical Problems in Engineering
author_facet Cesar Marco Antonio Robles Gonzalez
Ariana Guadalupe Bucio Ramirez
Volodymyr Ponomaryov
Marco Pedro Ramirez Tachiquin
author_sort Cesar Marco Antonio Robles Gonzalez
title A Regularization Process for Electrical Impedance Equation Employing Pseudoanalytic Function Theory
title_short A Regularization Process for Electrical Impedance Equation Employing Pseudoanalytic Function Theory
title_full A Regularization Process for Electrical Impedance Equation Employing Pseudoanalytic Function Theory
title_fullStr A Regularization Process for Electrical Impedance Equation Employing Pseudoanalytic Function Theory
title_full_unstemmed A Regularization Process for Electrical Impedance Equation Employing Pseudoanalytic Function Theory
title_sort regularization process for electrical impedance equation employing pseudoanalytic function theory
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2014-01-01
description 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.
url http://dx.doi.org/10.1155/2014/964081
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