an isotropic vector field decomposition method for use in scientific computations with the steps of : a computational grid modeled on a specific arrangement of nodes , such that each node is equidistant from it &# 39 ; s twelve nearest neighbors , a vector field decomposition technique utilizing six vector components at every node within the associated isotropic vector matrix , and techniques for implementing standard vector calculus operations within the isotropic vector matrix . a preferred embodiment includes wherein said techniques can be used to create an algorithm to solve computational electromagnetic problems , or any physical problem involving the use of vector fields .