Proper Orthogonal Decomposition (POD) is a technique which has been used successfully to reduce the computation time in various fields of engineering. Here POD is applied to electromagnetic field computations, specifically to the simulation of electromagnetic diffusion by the time-domain finite element method. The standard method requires a large matrix equation to be solved at every time step. POD is applied to greatly reduce the size of the matrices. Both 1-D and 2-D test cases are considered. Applying POD reduces the matrix dimension for a 2-D problem from 2,535 to just 5, with negligible loss of accuracy. |