TY - JOUR
T1 - A regularization process for electrical impedance equation employing pseudoanalytic function theory
AU - Robles Gonzalez, Cesar Marco Antonio
AU - Bucio Ramirez, Ariana Guadalupe
AU - Ponomaryov, Volodymyr
AU - Ramirez Tachiquin, Marco Pedro
N1 - Publisher Copyright:
© 2014 Cesar Marco Antonio Robles Gonzalez et al.
PY - 2014/12/7
Y1 - 2014/12/7
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84919740222&partnerID=8YFLogxK
U2 - 10.1155/2014/964081
DO - 10.1155/2014/964081
M3 - Artículo
SN - 1024-123X
VL - 2014
JO - Mathematical Problems in Engineering
JF - Mathematical Problems in Engineering
M1 - 964081
ER -