Novel Methods for Simulation of Large Electromagnetic Structures: Final Report

The purpose of this contract was to apply various mathematical techniques for speeding up electromagnetic simulation codes to present day commercial codes. The techniques to be investigated in the original contract were: wavelet methods, the non-uniform fast Fourier transform, and multipole methods. As the contract evolved, changes were made in two ways: first, the specific techniques investigated changed; second, the contract was modified to incorporate portions of another MAFET contract, which was part of the larger industrial consortium. That contract was terminated after its second year of funding due to budget constraints. As a result, this contract supported the remainder of that contracts work. Details are given as to the specific work performed, goals achieved, and future work to be carried out. 1 Summary of Work Performed The work carried out under this contract is broken out into three main sections: wavelet methods, improvement of matrix condition numbers, and fast package models. Eachof these is described in more detail in later sections. Brief summaries of the activities are now given.