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 language | English |
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Title of host publication | Electromagnetics in Advanced Applications (ICEAA), 2015 International Conference on |
Pages | 1028-1031 |
Number of pages | 4 |
ISBN (Electronic) | 978-1-4799-7805-2 |
DOIs | |
Publication status | Published - 1 Sep 2015 |
Event | 17th International Conference on Electromagnetics in Advanced Applications, ICEAA 2015 - "Centro Congressi Torino Incontra", Torino, Italy Duration: 7 Sep 2015 → 11 Sep 2015 Conference number: 17 |
Conference
Conference | 17th International Conference on Electromagnetics in Advanced Applications, ICEAA 2015 |
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Abbreviated title | ICEAA 2015 |
Country/Territory | Italy |
City | Torino |
Period | 7/09/15 → 11/09/15 |
Other |
Bibliographical note
InvitedKeywords
- 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