An efficient discontinuous Galerkin finite element method for highly accurate solution of maxwell equations

Meilin Liu; Kostyantyn Sirenko; Hakan Bagci

doi:10.1109/TAP.2012.2201092

An efficient discontinuous Galerkin finite element method for highly accurate solution of maxwell equations

Meilin Liu, Kostyantyn Sirenko, Hakan Bagci

Research output: Contribution to journal › Article › peer-review

39 Scopus citations

Abstract

A discontinuous Galerkin finite element method (DG-FEM) with a highly accurate time integration scheme for solving Maxwell equations is presented. The new time integration scheme is in the form of traditional predictor-corrector algorithms, PE CE m, but it uses coefficients that are obtained using a numerical scheme with fully controllable accuracy. Numerical results demonstrate that the proposed DG-FEM uses larger time steps than DG-FEM with classical PE CE) m schemes when high accuracy, which could be obtained using high-order spatial discretization, is required. © 1963-2012 IEEE.

Original language	English (US)
Pages (from-to)	3992-3998
Number of pages	7
Journal	IEEE Transactions on Antennas and Propagation
Volume	60
Issue number	8
DOIs	https://doi.org/10.1109/TAP.2012.2201092
State	Published - Aug 2012

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: This work was supported in part by an Academic Excellence Alliance program award from the King Abdullah University of Science and Technology (KAUST) Global Collaborative Research under the title "Energy Efficient Photonic and Spintronic Devices."

ASJC Scopus subject areas

Electrical and Electronic Engineering
Condensed Matter Physics

Access to Document

10.1109/TAP.2012.2201092

Cite this

@article{a94d9adf932841c7bc2c705ce8f06ec3,

title = "An efficient discontinuous Galerkin finite element method for highly accurate solution of maxwell equations",

abstract = "A discontinuous Galerkin finite element method (DG-FEM) with a highly accurate time integration scheme for solving Maxwell equations is presented. The new time integration scheme is in the form of traditional predictor-corrector algorithms, PE CE m, but it uses coefficients that are obtained using a numerical scheme with fully controllable accuracy. Numerical results demonstrate that the proposed DG-FEM uses larger time steps than DG-FEM with classical PE CE) m schemes when high accuracy, which could be obtained using high-order spatial discretization, is required. {\textcopyright} 1963-2012 IEEE.",

author = "Meilin Liu and Kostyantyn Sirenko and Hakan Bagci",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: This work was supported in part by an Academic Excellence Alliance program award from the King Abdullah University of Science and Technology (KAUST) Global Collaborative Research under the title {"}Energy Efficient Photonic and Spintronic Devices.{"}",

year = "2012",

month = aug,

doi = "10.1109/TAP.2012.2201092",

language = "English (US)",

volume = "60",

pages = "3992--3998",

journal = "IEEE Transactions on Antennas and Propagation",

issn = "0018-926X",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "8",

}

TY - JOUR

T1 - An efficient discontinuous Galerkin finite element method for highly accurate solution of maxwell equations

AU - Liu, Meilin

AU - Sirenko, Kostyantyn

AU - Bagci, Hakan

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: This work was supported in part by an Academic Excellence Alliance program award from the King Abdullah University of Science and Technology (KAUST) Global Collaborative Research under the title "Energy Efficient Photonic and Spintronic Devices."

PY - 2012/8

Y1 - 2012/8

N2 - A discontinuous Galerkin finite element method (DG-FEM) with a highly accurate time integration scheme for solving Maxwell equations is presented. The new time integration scheme is in the form of traditional predictor-corrector algorithms, PE CE m, but it uses coefficients that are obtained using a numerical scheme with fully controllable accuracy. Numerical results demonstrate that the proposed DG-FEM uses larger time steps than DG-FEM with classical PE CE) m schemes when high accuracy, which could be obtained using high-order spatial discretization, is required. © 1963-2012 IEEE.

AB - A discontinuous Galerkin finite element method (DG-FEM) with a highly accurate time integration scheme for solving Maxwell equations is presented. The new time integration scheme is in the form of traditional predictor-corrector algorithms, PE CE m, but it uses coefficients that are obtained using a numerical scheme with fully controllable accuracy. Numerical results demonstrate that the proposed DG-FEM uses larger time steps than DG-FEM with classical PE CE) m schemes when high accuracy, which could be obtained using high-order spatial discretization, is required. © 1963-2012 IEEE.

UR - http://hdl.handle.net/10754/562263

UR - http://ieeexplore.ieee.org/document/6204031/

UR - http://www.scopus.com/inward/record.url?scp=84864713174&partnerID=8YFLogxK

U2 - 10.1109/TAP.2012.2201092

DO - 10.1109/TAP.2012.2201092

M3 - Article

SN - 0018-926X

VL - 60

SP - 3992

EP - 3998

JO - IEEE Transactions on Antennas and Propagation

JF - IEEE Transactions on Antennas and Propagation

IS - 8

ER -

An efficient discontinuous Galerkin finite element method for highly accurate solution of maxwell equations

Abstract

Bibliographical note

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this