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 sepa...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/493483 |
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| _version_ | 1832563729822121984 |
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| author | Marco Pedro Ramirez-Tachiquin Cesar Marco Antonio Robles Gonzalez Rogelio Adrian Hernandez-Becerril Ariana Guadalupe Bucio Ramirez |
| author_facet | Marco Pedro Ramirez-Tachiquin Cesar Marco Antonio Robles Gonzalez Rogelio Adrian Hernandez-Becerril Ariana Guadalupe Bucio Ramirez |
| author_sort | Marco Pedro Ramirez-Tachiquin |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-c2bb14a867c4410da987069da823dbee |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-c2bb14a867c4410da987069da823dbee2025-02-03T01:12:41ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/493483493483First Characterization of a New Method for Numerically Solving the Dirichlet Problem of the Two-Dimensional Electrical Impedance EquationMarco Pedro Ramirez-Tachiquin0Cesar Marco Antonio Robles Gonzalez1Rogelio Adrian Hernandez-Becerril2Ariana Guadalupe Bucio Ramirez3Communications and Digital Signal Processing Group, Faculty of Engineering, La Salle University, B. Franklin 47, Mexico City 06140, MexicoSEPI, ESIME Culhuacan, National Polytechnic Institute, Avenue Santa Ana No. 1000, Mexico City 04430, MexicoSEPI, ESIME Culhuacan, National Polytechnic Institute, Avenue Santa Ana No. 1000, Mexico City 04430, MexicoSEPI, UPIITA, National Polytechnic Institute, Avenue IPN 2580, Mexico City 07340, MexicoBased 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.http://dx.doi.org/10.1155/2013/493483 |
| spellingShingle | Marco Pedro Ramirez-Tachiquin Cesar Marco Antonio Robles Gonzalez Rogelio Adrian Hernandez-Becerril Ariana Guadalupe Bucio Ramirez First Characterization of a New Method for Numerically Solving the Dirichlet Problem of the Two-Dimensional Electrical Impedance Equation Journal of Applied Mathematics |
| title | First Characterization of a New Method for Numerically Solving the Dirichlet Problem of the Two-Dimensional Electrical Impedance Equation |
| title_full | First Characterization of a New Method for Numerically Solving the Dirichlet Problem of the Two-Dimensional Electrical Impedance Equation |
| title_fullStr | First Characterization of a New Method for Numerically Solving the Dirichlet Problem of the Two-Dimensional Electrical Impedance Equation |
| title_full_unstemmed | First Characterization of a New Method for Numerically Solving the Dirichlet Problem of the Two-Dimensional Electrical Impedance Equation |
| title_short | First Characterization of a New Method for Numerically Solving the Dirichlet Problem of the Two-Dimensional Electrical Impedance Equation |
| title_sort | first characterization of a new method for numerically solving the dirichlet problem of the two dimensional electrical impedance equation |
| url | http://dx.doi.org/10.1155/2013/493483 |
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