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    A higher order space-time Galerkin scheme for time domain integral equations

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    Type
    Article
    Authors
    Pray, Andrew J.
    Beghein, Yves
    Nair, Naveen V.
    Cools, Kristof
    Bagci, Hakan
    Shanker, B.
    KAUST Department
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Electrical Engineering Program
    Computational Electromagnetics Laboratory
    Date
    2014-12
    Preprint Posting Date
    2014-01-10
    Permanent link to this record
    http://hdl.handle.net/10754/563899
    
    Metadata
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    Abstract
    Stability of time domain integral equation (TDIE) solvers has remained an elusive goal formany years. Advancement of this research has largely progressed on four fronts: 1) Exact integration, 2) Lubich quadrature, 3) smooth temporal basis functions, and 4) space-time separation of convolutions with the retarded potential. The latter method's efficacy in stabilizing solutions to the time domain electric field integral equation (TD-EFIE) was previously reported for first-order surface descriptions (flat elements) and zeroth-order functions as the temporal basis. In this work, we develop the methodology necessary to extend the scheme to higher order surface descriptions as well as to enable its use with higher order basis functions in both space and time. These basis functions are then used in a space-time Galerkin framework. A number of results are presented that demonstrate convergence in time. The viability of the space-time separation method in producing stable results is demonstrated experimentally for these examples.
    Citation
    Pray, A. J., Beghein, Y., Nair, N. V., Cools, K., Bagci, H., & Shanker, B. (2014). A Higher Order Space-Time Galerkin Scheme for Time Domain Integral Equations. IEEE Transactions on Antennas and Propagation, 62(12), 6183–6191. doi:10.1109/tap.2014.2361156
    Sponsors
    This work was supported in part by the NSFunder Grant CCF1018516 and in part by the DoD SMART Program under Grant N00244-09-1-0081.
    Publisher
    Institute of Electrical and Electronics Engineers (IEEE)
    Journal
    IEEE Transactions on Antennas and Propagation
    DOI
    10.1109/TAP.2014.2361156
    arXiv
    1401.2435
    Additional Links
    http://ieeexplore.ieee.org/document/6915701/
    http://arxiv.org/pdf/1401.2435
    ae974a485f413a2113503eed53cd6c53
    10.1109/TAP.2014.2361156
    Scopus Count
    Collections
    Articles; Electrical and Computer Engineering Program; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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