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

doi:10.1109/ICEAA.2015.7297270

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

Electromagnetics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic

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 language	English
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	https://doi.org/10.1109/ICEAA.2015.7297270
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
Abbreviated title	ICEAA 2015
Country	Italy
City	Torino
Period	7/09/15 → 11/09/15
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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Cite this

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

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.",

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",

author = "{de Hon}, B.P. and J.M. Arnold",

note = "Invited; 17th International Conference on Electromagnetics in Advanced Applications, ICEAA 2015, ICEAA 2015 ; Conference date: 07-09-2015 Through 11-09-2015",

year = "2015",

month = sep,

day = "1",

doi = "10.1109/ICEAA.2015.7297270",

language = "English",

isbn = "978-1-4799-7806-9",

pages = "1028--1031",

booktitle = "Electromagnetics in Advanced Applications (ICEAA), 2015 International Conference on",

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de Hon, BP & Arnold, JM 2015, Aspects of the generation of finite-difference Green's function sequences for arbitrary 3-D cubic lattice points. in Electromagnetics in Advanced Applications (ICEAA), 2015 International Conference on. pp. 1028-1031, 17th International Conference on Electromagnetics in Advanced Applications, ICEAA 2015, Torino, Italy, 7/09/15. https://doi.org/10.1109/ICEAA.2015.7297270

TY - GEN

T1 - Aspects of the generation of finite-difference Green's function sequences for arbitrary 3-D cubic lattice points

AU - de Hon, B.P.

AU - Arnold, J.M.

N1 - Conference code: 17

PY - 2015/9/1

Y1 - 2015/9/1

N2 - 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.

AB - 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.

KW - Green's function methods

KW - finite difference methods

KW - time-domain analysis

KW - LGF sequence

KW - arbitrary 3D cubic lattice point

KW - finite-difference lattice Green's function diakoptics scheme

KW - generic recurrence scheme

KW - time-domain signal

KW - Diakoptics

KW - Electric breakdown

KW - Finite difference methods

KW - Lattices

KW - Time-domain analysis

U2 - 10.1109/ICEAA.2015.7297270

DO - 10.1109/ICEAA.2015.7297270

M3 - Conference contribution

SN - 978-1-4799-7806-9

SP - 1028

EP - 1031

BT - Electromagnetics in Advanced Applications (ICEAA), 2015 International Conference on

T2 - 17th International Conference on Electromagnetics in Advanced Applications, ICEAA 2015

Y2 - 7 September 2015 through 11 September 2015

ER -