A fast numerical scheme for computing the response of composites using grid refinement

Abstract

A numerical scheme is presented to compute the response of a composite material to an applied field. The scheme is based on an iteration that uses a Fourier transform based projection method to compute the response of a reference material to the applied field, and a contraction mapping to relate the response of the reference material to the response of the composite material. The scheme also utilizes nested uniform grids to improve performance, and to evaluate the refinement of the grid.