The finite-volume time-domain algorithm using least square method in solving Maxwell's equations

A finite-volume time-domain algorithm using least square method with a well-posed perfectly matched layer (PML) has been developed for the time-domain solution of Maxwell's equations. This algorithm uses the unstructured grids to obtain good computational efficiency and geometric flexibility. A novelty cell-wise data reconstruction scheme based on least square method is derived to achieve second-order spatial accuracy. A well-posed PML is applied to truncate computational domain by absorbing outgoing electromagnetic waves. The explicit Runge-Kutta scheme is employed to solve the semidiscrete Maxwell's equations. Several numerical results are presented to illustrate the efficiency and accuracy of the algorithm. (c) 2007 Elsevier Inc. All rights reserved.