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 |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 1110-757X 1687-0042 |