Mat-1.3656 Seminar on
numerical analysis and computational science
Monday Nov 24, 2008, room
U356 at 14.15, Eirola & Stenberg
Harri Hakula, TKK/Mat
Simulating Data for Factorization Method In Electrical Impedance Tomography
In electrical impedance tomography, one tries to recover the
spatial conductivity distribution inside a body from boundary
measurements of current and voltage. In many
important situations, the examined object has known background
conductivity but is
contaminated by inhomogeneities. The factorization method of Kirsch
provides a tool
for locating such inclusions. The computational attractiveness of the
factorization technique relies heavily on efficient computation of
Dirichlet boundary values of potentials
created by dipole sources located inside the examined object and
corresponding to the
homogeneous Neumann boundary condition and to the known background
conductivity.
In certain simple situations, these test potentials can be written down
explicitly or
given with the help of suitable analytic maps, but, in general, they
must be computed numerically. Here we consider application of the
hp-FEM to this problem.