A generalized finite-volume time-domain algorithm for solving maxwell's equations on arbitrary irregular grids

摘要

Generally, the solution of Maxwell's equations on irregularly shaped computation domains is carried out using the Finite-Element of Finitie-Volume numerical techniques. However, Finite-Element methods can be rather computationally expensive when solving Maxwell's equations in the Time-Domain, since the method has to solve a large sparse matrix system at every iteration [3]. On the other hand, the Finite-Volume technique can be implemented explicityly using an appropriately chosen time marching strategy to advance the solution in time. In this case, matrix inversion is avoided.