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A Regularization Process for Electrical Impedance Equation Employing Pseudoanalytic Function Theory

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  • Cesar Marco Antonio Robles Gonzalez
  • Ariana Guadalupe Bucio Ramirez
  • Volodymyr Ponomaryov
  • Marco Pedro Ramirez Tachiquin

Abstract

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.

Suggested Citation

  • Cesar Marco Antonio Robles Gonzalez & Ariana Guadalupe Bucio Ramirez & Volodymyr Ponomaryov & Marco Pedro Ramirez Tachiquin, 2014. "A Regularization Process for Electrical Impedance Equation Employing Pseudoanalytic Function Theory," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-13, December.
    • Handle: RePEc:hin:jnlmpe:964081
    DOI: 10.1155/2014/964081
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