Incorporation of exact boundary conditions into a discontinuous galerkin finite element method for accurately solving 2d time-dependent maxwell equations

Kostyantyn Sirenko; Meilin Liu; Hakan Bagci

doi:10.1109/TAP.2012.2220102

Incorporation of exact boundary conditions into a discontinuous galerkin finite element method for accurately solving 2d time-dependent maxwell equations

Kostyantyn Sirenko, Meilin Liu, Hakan Bagci

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

23 Scopus citations

Abstract

A scheme that discretizes exact absorbing boundary conditions (EACs) to incorporate them into a time-domain discontinuous Galerkin finite element method (TD-DG-FEM) is described. The proposed TD-DG-FEM with EACs is used for accurately characterizing transient electromagnetic wave interactions on two-dimensional waveguides. Numerical results demonstrate the proposed method's superiority over the TD-DG-FEM that employs approximate boundary conditions and perfectly matched layers. Additionally, it is shown that the proposed method can produce the solution with ten-eleven digit accuracy when high-order spatial basis functions are used to discretize the Maxwell equations as well as the EACs. © 1963-2012 IEEE.

Original language	English (US)
Pages (from-to)	472-477
Number of pages	6
Journal	IEEE Transactions on Antennas and Propagation
Volume	61
Issue number	1
DOIs	https://doi.org/10.1109/TAP.2012.2220102
State	Published - Jan 2013

ASJC Scopus subject areas

Electrical and Electronic Engineering
Condensed Matter Physics

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10.1109/TAP.2012.2220102

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title = "Incorporation of exact boundary conditions into a discontinuous galerkin finite element method for accurately solving 2d time-dependent maxwell equations",

abstract = "A scheme that discretizes exact absorbing boundary conditions (EACs) to incorporate them into a time-domain discontinuous Galerkin finite element method (TD-DG-FEM) is described. The proposed TD-DG-FEM with EACs is used for accurately characterizing transient electromagnetic wave interactions on two-dimensional waveguides. Numerical results demonstrate the proposed method's superiority over the TD-DG-FEM that employs approximate boundary conditions and perfectly matched layers. Additionally, it is shown that the proposed method can produce the solution with ten-eleven digit accuracy when high-order spatial basis functions are used to discretize the Maxwell equations as well as the EACs. {\textcopyright} 1963-2012 IEEE.",

author = "Kostyantyn Sirenko and Meilin Liu 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{"} and in part by the Center for Uncertainty Quantification in Computational Science and Engineering at KAUST.",

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language = "English (US)",

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AU - Sirenko, Kostyantyn

AU - Liu, Meilin

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" and in part by the Center for Uncertainty Quantification in Computational Science and Engineering at KAUST.

PY - 2013/1

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N2 - A scheme that discretizes exact absorbing boundary conditions (EACs) to incorporate them into a time-domain discontinuous Galerkin finite element method (TD-DG-FEM) is described. The proposed TD-DG-FEM with EACs is used for accurately characterizing transient electromagnetic wave interactions on two-dimensional waveguides. Numerical results demonstrate the proposed method's superiority over the TD-DG-FEM that employs approximate boundary conditions and perfectly matched layers. Additionally, it is shown that the proposed method can produce the solution with ten-eleven digit accuracy when high-order spatial basis functions are used to discretize the Maxwell equations as well as the EACs. © 1963-2012 IEEE.

AB - A scheme that discretizes exact absorbing boundary conditions (EACs) to incorporate them into a time-domain discontinuous Galerkin finite element method (TD-DG-FEM) is described. The proposed TD-DG-FEM with EACs is used for accurately characterizing transient electromagnetic wave interactions on two-dimensional waveguides. Numerical results demonstrate the proposed method's superiority over the TD-DG-FEM that employs approximate boundary conditions and perfectly matched layers. Additionally, it is shown that the proposed method can produce the solution with ten-eleven digit accuracy when high-order spatial basis functions are used to discretize the Maxwell equations as well as the EACs. © 1963-2012 IEEE.

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Incorporation of exact boundary conditions into a discontinuous galerkin finite element method for accurately solving 2d time-dependent maxwell equations

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