Title :
The use of dual reciprocity method for electrical impedance tomography
Author :
Triep, M. ; Hamler, Anton ; Jesenik, Marko ; Stumberger, Bojan
Author_Institution :
Fac. of Electr. Eng. & Comput. Sci., Maribor Univ., Slovenia
fDate :
9/1/2001 12:00:00 AM
Abstract :
The paper presents the use of the Dual Reciprocity Boundary Element Method (DRM) for the solution of the inverse problem described with Poisson´s equation. The DRM approach has been chosen because it is ideal for the treatment of the nonhomogeneous part of Poisson´s equation that determines the source distribution or the conductivity distribution of the inverse problem. The “mixed” boundary elements were used to discretize the problem. The presented DRM approach to the solution of the inverse problem is demonstrated on a 2D problem that has an analytical solution. The unknown conductivity distribution inside the 2D square conductivity domain is calculated
Keywords :
Poisson equation; boundary integral equations; boundary-elements methods; electric field integral equations; electric impedance imaging; electrical engineering computing; inverse problems; 2D square conductivity domain; Poisson´s equation; boundary integral equation; conductivity distribution; dual reciprocity BEM; electrical impedance tomography; ill posed problem; inverse problem; mixed boundary elements; source distribution; Boundary element methods; Conductivity measurement; Electromagnetic fields; Helium; Impedance; Inverse problems; Numerical analysis; Optimization methods; Poisson equations; Tomography;
Journal_Title :
Magnetics, IEEE Transactions on
