The need to simulate electromagnetic wave propagation arises in many areas of technology including the design of aircraft, automobiles and antennas, as well as environmental surveys (ground penetrating radar). Despite the need for simulation software, general robust and efficient numerical methods still have yet to be developed. In these lectures I will start by considering several model problems for Maxwell's equations and relevant theory. I will discuss fundamental issues in the design of numerical software such as dispersion and dissipation, as well as domain truncation via the Perfectly Matched Layer and Absorbing Boundary Condition. Starting with classical edge element methods, I will move to discontinuous Galerkin methods and finally time-domain integral equation approaches for discretizing the Maxwell system.

July_2010_Paper_Monk.pdf

wave1dDGa.m