A two-dimensional (2-D) discontinuous Galerkin finite element method (DG-FEM), which uses a new highly-accurate predictor-corrector scheme for time integration, is presented. Numerical results show that the new integration scheme uses larger time steps than the fourth-order Runge-Kutta method for simulations with high accuracy. This, when combined with the fact that it requires only two right-hand side evaluations per time step, renders the proposed method quite efficient.
|Original language||English (US)|
|Title of host publication||Proceedings of the 5th European Conference on Antennas and Propagation, EUCAP 2011|
|Publisher||Institute of Electrical and Electronics Engineers (IEEE)|
|State||Published - 2011|
Bibliographical noteKAUST Repository Item: Exported on 2020-04-23
Acknowledgements: The authors would like to thank the King Abdullah University of Science and Technology (KAUST) Supercomputer Laboratory (KSL) for providing the required computational resources. This work is funded by the AEA grant under the title “Energy Efficient Photonic and Spintronic Devices” awarded by KAUST GCR