Explicit stability conditions for FDTD on nonuniform tensor-product grids

RF Remis

Explicit stability conditions for FDTD on nonuniform tensor-product grids

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

Abstract

In this paper we present sufficient conditions for stability of the finite-difference time-domain method on nonuniform tensor-product grids. The general courant-friedrichs-lewy stability condition can be written in terms of the spectral radius of the first-order maxwell system matrix. In this paper we present upper bounds to obtain sufficient conditions for stability of FDTD in one, two and three dimensions. The stability conditions are all presented in terms of the maximum electromagnetics wave speed present in the configuration and the minimum step sizes of the grid. Moreover, our conditions reduce to the well-known stability conditions for FDTD if the grid is uniform.

Original language	Undefined/Unknown
Title of host publication	2007 International conference on electromagnetics in advanced applications
Editors	s.n.
Place of Publication	Torino
Publisher	COREP
Pages	1-4
Number of pages	4
ISBN (Print)	1-4244-0767-2
Publication status	Published - 2007
Event	ICEAA 2007: 10th edition - Torino Duration: 17 Sept 2007 → 21 Sept 2007

Publication series

Name
Publisher	COREP

Conference

Conference	ICEAA 2007
City	Torino
Period	17/09/07 → 21/09/07

Keywords

conference contrib. refereed
Conf.proc. > 3 pag

Cite this

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title = "Explicit stability conditions for FDTD on nonuniform tensor-product grids",

abstract = "In this paper we present sufficient conditions for stability of the finite-difference time-domain method on nonuniform tensor-product grids. The general courant-friedrichs-lewy stability condition can be written in terms of the spectral radius of the first-order maxwell system matrix. In this paper we present upper bounds to obtain sufficient conditions for stability of FDTD in one, two and three dimensions. The stability conditions are all presented in terms of the maximum electromagnetics wave speed present in the configuration and the minimum step sizes of the grid. Moreover, our conditions reduce to the well-known stability conditions for FDTD if the grid is uniform.",

keywords = "conference contrib. refereed, Conf.proc. > 3 pag",

author = "RF Remis",

year = "2007",

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isbn = "1-4244-0767-2",

publisher = "COREP",

pages = "1--4",

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TY - GEN

T1 - Explicit stability conditions for FDTD on nonuniform tensor-product grids

AU - Remis, RF

PY - 2007

Y1 - 2007

N2 - In this paper we present sufficient conditions for stability of the finite-difference time-domain method on nonuniform tensor-product grids. The general courant-friedrichs-lewy stability condition can be written in terms of the spectral radius of the first-order maxwell system matrix. In this paper we present upper bounds to obtain sufficient conditions for stability of FDTD in one, two and three dimensions. The stability conditions are all presented in terms of the maximum electromagnetics wave speed present in the configuration and the minimum step sizes of the grid. Moreover, our conditions reduce to the well-known stability conditions for FDTD if the grid is uniform.

AB - In this paper we present sufficient conditions for stability of the finite-difference time-domain method on nonuniform tensor-product grids. The general courant-friedrichs-lewy stability condition can be written in terms of the spectral radius of the first-order maxwell system matrix. In this paper we present upper bounds to obtain sufficient conditions for stability of FDTD in one, two and three dimensions. The stability conditions are all presented in terms of the maximum electromagnetics wave speed present in the configuration and the minimum step sizes of the grid. Moreover, our conditions reduce to the well-known stability conditions for FDTD if the grid is uniform.

KW - conference contrib. refereed

KW - Conf.proc. > 3 pag

M3 - Conference contribution

SN - 1-4244-0767-2

SP - 1

EP - 4

BT - 2007 International conference on electromagnetics in advanced applications

A2 - s.n., null

PB - COREP

CY - Torino

T2 - ICEAA 2007

Y2 - 17 September 2007 through 21 September 2007

ER -