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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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    Type
    Article
    Authors
    Sirenko, Kostyantyn
    Liu, Meilin
    Bagci, Hakan cc
    KAUST Department
    Computational Electromagnetics Laboratory
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Electrical Engineering Program
    Physical Science and Engineering (PSE) Division
    Date
    2013-01
    Permanent link to this record
    http://hdl.handle.net/10754/562577
    
    Metadata
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    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.
    Sponsors
    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.
    Publisher
    Institute of Electrical and Electronics Engineers (IEEE)
    Journal
    IEEE Transactions on Antennas and Propagation
    DOI
    10.1109/TAP.2012.2220102
    ae974a485f413a2113503eed53cd6c53
    10.1109/TAP.2012.2220102
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Electrical Engineering Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

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