A new highly accurate time integration scheme for DG-FEM

Meilin Liu; Hakan Bagci

A new highly accurate time integration scheme for DG-FEM

Meilin Liu^*, Hakan Bagci

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Scopus citations

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.

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 note

KAUST 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

Cite this

@inproceedings{29129acfaa124c64a1047ebaec18844a,

title = "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.",

author = "Meilin Liu and Hakan Bagci",

note = "KAUST 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",

year = "2011",

language = "English (US)",

booktitle = "Proceedings of the 5th European Conference on Antennas and Propagation, EUCAP 2011",

publisher = "Institute of Electrical and Electronics Engineers (IEEE)",

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TY - GEN

T1 - A new highly accurate time integration scheme for DG-FEM

AU - Liu, Meilin

AU - Bagci, Hakan

N1 - KAUST 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

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10754/656122

UR - https://ieeexplore.ieee.org/document/5782266/

M3 - Conference contribution

AN - SCOPUS:79959673087

BT - Proceedings of the 5th European Conference on Antennas and Propagation, EUCAP 2011

PB - Institute of Electrical and Electronics Engineers (IEEE)

ER -

A new highly accurate time integration scheme for DG-FEM

Abstract

Bibliographical note

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