A new highly accurate time integration scheme for DG-FEM

Abstract
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.

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

Publisher
Institute of Electrical and Electronics Engineers (IEEE)

Conference/Event Name
Proceedings of the 5th European Conference on Antennas and Propagation (EUCAP)

Additional Links
https://ieeexplore.ieee.org/document/5782266/https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5782266

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