National Aeronautics and

and robustness when solving two- and three-dimensional benchmarks in computational electromagnetics. Pure scattering as well as penetration is discussed and high parallel performance of the scheme is demonstrated. ####### ############## Applied Mathematics ### ###### high-order/spectral accuracy, stability, convergence, unstructured grids, Maxwell's equations ## ############# The ability to accurately and reliably model wave-dominated problems continues to be an essential, and in many cases an enabling, technology in the development and analysis of emerging technologies such as stealth technology, noise reduction, subsurface exploration and optical communication to name a few. These are all problems characterized by being very large in terms of a characteristic wavelength, geometrically extremely complex, often composed of a heterogeneous collection of dierent materials and all requiring a high delity solution with a rigorous control of the numerical errors. Even for linear pr