Aspects of the generation of finite-difference Green's function sequences for arbitrary 3-D cubic lattice points

B.P. de Hon, J.M. Arnold

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademic

2 Citations (Scopus)

Abstract

The robust and speedy evaluation of lattice Green's functions LGFs) is crucial to the effectiveness of finite-difference Green's function diakoptics schemes. We have recently determined a generic recurrence scheme for the construction of scalar LGF sequences at arbitrary points on a 3-D cubic lattice. For this recurrence scheme, proper care must be taken to retain sufficient accuracy. For certain lattice points recurrence breakdown may occur at some discrete instant in time. Fortunately, this breakdown is rare, may be easily repaired, and does not seem to affect the LGF sequence behaviour. However, due to the anomalous wavefield behaviour induced by the discrete lattice, one must take care to work with time-domain signals that are sufficiently band-limited.
Original languageEnglish
Title of host publicationElectromagnetics in Advanced Applications (ICEAA), 2015 International Conference on
Pages1028-1031
Number of pages4
ISBN (Electronic)978-1-4799-7805-2
DOIs
Publication statusPublished - 1 Sep 2015
Event17th International Conference on Electromagnetics in Advanced Applications, ICEAA 2015 - "Centro Congressi Torino Incontra", Torino, Italy
Duration: 7 Sep 201511 Sep 2015
Conference number: 17

Conference

Conference17th International Conference on Electromagnetics in Advanced Applications, ICEAA 2015
Abbreviated titleICEAA 2015
CountryItaly
CityTorino
Period7/09/1511/09/15
Other

Bibliographical note

Invited

Keywords

  • Green's function methods
  • finite difference methods
  • time-domain analysis
  • LGF sequence
  • arbitrary 3D cubic lattice point
  • finite-difference lattice Green's function diakoptics scheme
  • generic recurrence scheme
  • time-domain signal
  • Diakoptics
  • Electric breakdown
  • Finite difference methods
  • Lattices
  • Time-domain analysis

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