The use of dual reciprocity method for electrical impedance tomography

• Published in: IEEE transactions on magnetics Vol. 37; no. 5; pp. 3221 - 3224
• Main Authors: Triep, M., Hamler, A., Jesenik, M., Stumberger, B.
• Format: Journal Article Conference Proceeding
• Language: English
• Published: New York, NY IEEE 01.09.2001; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Applied classical electromagnetism; Boundary element method; Boundary element methods; Conductivity measurement; Electrical impedance; Electromagnetic fields; Electromagnetism; electron and ion optics; Electrostatics. Poisson and laplace equations, boundary-value problems; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Helium; Impedance; Inverse problems; Magnetism; Mathematical analysis; Numerical analysis; Optimization methods; Physics; Poisson equation; Poisson equations; Reciprocity; Tomography; Two dimensional; Inverse problems; Optimization method; Theoretical study; Poisson equation; Electromagnetic fields; Impedance; Electrostatics; Boundary element method
• ISSN: 0018-9464; 1941-0069
• DOI: 10.1109/20.952581

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.