Key, Cam, authorNotaros, Branislav, advisorPezeshki, Ali, committee memberEstep, Donald, committee memberIlić, Milan, committee member2021-01-112022-01-082020https://hdl.handle.net/10217/219624Simulation plays an ever-increasing role in modern electrical engineering design. However, the computational electromagnetics solvers on which these simulations rely are often inefficient. For simulations requiring high accuracy, full-wave techniques like finite element method and method of moments dominate, yet existing practices for these techniques frequently allocate degrees of freedom sub-optimally, yielding longer solve times than necessary for a given accuracy. For larger-scale simulations, frequency-asymptotic methods like shooting-bouncing ray tracing dominate, yet existing algorithms suffer from incomplete parallelizability and are consequently unable to take full advantage of modern massively parallel computing resources. We present several approaches, both theoretical and empirical, to address these efficiency problems.born digitaldoctoral dissertationsengCopyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright.Text