Proposal to Develop Well-Conditioned Boundary Integral Equations for Harmonic Electromagnetic Simulations

Robert John Adams of the Department of Electrical & Computer Engineering at the University of Kentucky shall to the best of his ability undertake and carry out research to develop and implement for Duke University boundary integral equation formulations for bulk dielectric materials (including PEe) that exhibit stability with respect to the mesh used to discretize the equa". tion. He will also investigate the development and implementation of a physical integral eqlul" tion in order to improve the numerical efficiency of Duke Univl;:rsity's MLFMA-accelerated method of moments code. The latter efforts will specifically utilize the local spectral decomposition of the MLFMA in order to develop approximations of the one-way operators required in the physical integral equation formulations discussed below.