Numerical computation of approximate generalized polarization tensors

摘要

In this article we describe a method to compute generalized polarization tensors. These tensors are the coefficients appearing in the multipolar expansion of the steady-state voltage perturbation caused by an inhomogeneity of constant conductivity. As an alternative to the integral equation approach, we propose an approximate semi-algebraic method which is easy to implement. This method has been integrated in a Myriapole, a Matlab routine with a graphical interface which makes such computations available to non-numerical analysts.