ERROR-DRIVEN PARTIAL HOMOGENIZATION FOR ANALYSIS AND OPTIMIZATION OF NON-UNIFORM METAMATERIALS

摘要

A computer-implemented method for analysis of a non-uniform metamaterial includes obtaining a digitized geometric model of an object along with parameters describing a non-uniform metamaterial filling up the geometric model and recursively carrying out the steps of: (a) subdividing a 2D area or 3D volume of the geometric model into a plurality of regions, (b) homogenizing each of the regions to determine an equivalent material filling up each region, and (c) for each region, computing an error in a property of the respective equivalent material and determining if a maximum allowed error is exceeded. Steps (a) to (c) are recursively repeated when the maximum allowed error for a region is exceeded, wherein this region now defines the 2D area or 3D volume being subdivided. A finite element mesh of the geometric model is generated where the equivalent materials respectively fill up the regions resulting from the recursion.