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
Pages	3212-3215
Number of pages	4
State	Published - 2011
Event	5th European Conference on Antennas and Propagation, EUCAP 2011 - Rome, Italy Duration: Apr 10 2011 → Apr 15 2011

Publication series

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

Conference

Conference	5th European Conference on Antennas and Propagation, EUCAP 2011
Country/Territory	Italy
City	Rome
Period	04/10/11 → 04/15/11

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

ASJC Scopus subject areas

Electrical and Electronic Engineering
Hardware and Architecture

Cite this

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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; 5th European Conference on Antennas and Propagation, EUCAP 2011 ; Conference date: 10-04-2011 Through 15-04-2011",

year = "2011",

language = "English (US)",

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

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

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A new highly accurate time integration scheme for DG-FEM. / Liu, Meilin; Bagci, Hakan.
Proceedings of the 5th European Conference on Antennas and Propagation, EUCAP 2011. 2011. p. 3212-3215 5782266 (Proceedings of the 5th European Conference on Antennas and Propagation, EUCAP 2011).

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

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AU - Bagci, Hakan

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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.

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M3 - Conference contribution

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

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ER -

A new highly accurate time integration scheme for DG-FEM

Abstract

Publication series

Conference

Bibliographical note

ASJC Scopus subject areas

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