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A stable volume integral equation (VIE) solver based onpolarization/magnetization currents is presented, for the accurate andefficient computation of the electromagnetic scattering from highlyinhomogeneous and high contrast objects.We employ the Galerkin Method ofMoments to discretize the formulation with discontinuous piecewise linear basisfunctions on uniform voxelized grids, allowing for the acceleration of theassociated matrix-vector products in an iterative solver, with the help of FFT.Numerical results illustrate the superior accuracy and more stable convergenceproperties of the proposed framework, when compared against standard low order(piecewise constant) discretization schemes and a more conventional VIEformulation based on electric flux densities. Finally, the developed solver isapplied to analyze complex geometries, including realistic human body models,typically used in modeling the interactions between electromagnetic waves andbiological tissue.

A Fast Volume Integral Equation Solver with Linear Basis Functions for the Accurate Computation of Electromagnetic Fields in MRI