• DocumentCode
    1839850
  • Title

    Time domain discrete Green´s functions for waves on simplicial networks

  • Author

    Arnold, J.M.

  • Author_Institution
    Sch. of Eng., Univ. of Glasgow, Glasgow, UK
  • fYear
    2011
  • fDate
    12-16 Sept. 2011
  • Firstpage
    823
  • Lastpage
    826
  • Abstract
    The representation of discrete Green´s functions for propagators over arbitrary unstructured grids is examined. By constructing classes of cohomology operators based on functions of the discrete Laplacian it is shown that discrete Green´s functions are constructible in a sum-over-paths formalism.
  • Keywords
    Green´s function methods; Laplace equations; electromagnetic wave propagation; network theory (graphs); time-domain analysis; arbitrary unstructured grids; cohomology operator; discrete Laplacian; propagator; simplicial network; sum-over-paths formalism; time domain discrete Green´s function; waves; Finite difference methods; Green´s function methods; Laplace equations; Markov processes; Polynomials; Symmetric matrices; Time domain analysis;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Electromagnetics in Advanced Applications (ICEAA), 2011 International Conference on
  • Conference_Location
    Torino
  • Print_ISBN
    978-1-61284-976-8
  • Type

    conf

  • DOI
    10.1109/ICEAA.2011.6046450
  • Filename
    6046450