Numerical Computation of approximate Generalized Polarization Tensors

Details Numerical Computation of approximate Generalized Polarization Tensors Numerical Computation of approximate Generalized Polarization Tensors

2011-10-05

arxiv.org/abs/1110.1022v1

Mathematics

Numerical Analysis

Scientific paper

10.1080/00036811.2011.641175

In this paper 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.

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