A multiresolution impedance method for bioelectromagnetic problems

The impedance method is an electromagnetic simulation method for quasistatic problems. It is based on the discretization of object(s) upon which electromagnetic radiation is incident, and it requires solving a system of equations in which the number of equations is determined by the number of grid cells in the discretized model. We investigate the feasibility of employing a grid generation method that does not yield equal-sized cells everywhere, as a means of decreasing the size of the linear system to be solved. We apply the method to a simple test case for which analytical results are available, and examine the accuracy and computational efficiency of our method with respect to the standard uniform grid.