A three-dimensional FDTD subgridding algorithm with separated temporal and spatial interfaces and related stability analysis

Kai Xiao; David J. Pommerenke; James L. Drewniak

doi:10.1109/TAP.2007.900180

A three-dimensional FDTD subgridding algorithm with separated temporal and spatial interfaces and related stability analysis

Kai Xiao^*, David J. Pommerenke, James L. Drewniak

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

A finite-different time-domain subgrid algorithm locally refines the mesh at regions requiring higher resolution. A novel separation of spatial and temporal subgridding interfaces is presented that allows implementing a novel spatial subgridding method and investigating the stability of each subalgorithm individually. Details are given for a spatial subgridding algorithm having a 1:3 mesh ratio. In the spatial subgridding algorithm, the fine-mesh is constructed with a recessed interface and the interpolation scheme is designed to be symmetric to maintain the stability of the update process. The stability of the spatial subgridding algorithm is analyzed with a matrix method. Numerical examples showing stability and accuracy are provided.

Original language	English
Pages (from-to)	1981-1990
Number of pages	10
Journal	IEEE Transactions on Antennas and Propagation
Volume	55
Issue number	7
DOIs	https://doi.org/10.1109/TAP.2007.900180
Publication status	Published - 1 Jul 2007
Externally published	Yes

Keywords

Finite-difference time-domain (FDTD)
Stability
Subgrid

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/TAP.2007.900180

Cite this

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abstract = "A finite-different time-domain subgrid algorithm locally refines the mesh at regions requiring higher resolution. A novel separation of spatial and temporal subgridding interfaces is presented that allows implementing a novel spatial subgridding method and investigating the stability of each subalgorithm individually. Details are given for a spatial subgridding algorithm having a 1:3 mesh ratio. In the spatial subgridding algorithm, the fine-mesh is constructed with a recessed interface and the interpolation scheme is designed to be symmetric to maintain the stability of the update process. The stability of the spatial subgridding algorithm is analyzed with a matrix method. Numerical examples showing stability and accuracy are provided.",

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AU - Drewniak, James L.

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AB - A finite-different time-domain subgrid algorithm locally refines the mesh at regions requiring higher resolution. A novel separation of spatial and temporal subgridding interfaces is presented that allows implementing a novel spatial subgridding method and investigating the stability of each subalgorithm individually. Details are given for a spatial subgridding algorithm having a 1:3 mesh ratio. In the spatial subgridding algorithm, the fine-mesh is constructed with a recessed interface and the interpolation scheme is designed to be symmetric to maintain the stability of the update process. The stability of the spatial subgridding algorithm is analyzed with a matrix method. Numerical examples showing stability and accuracy are provided.

KW - Finite-difference time-domain (FDTD)

KW - Stability

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JO - IEEE Transactions on Antennas and Propagation

JF - IEEE Transactions on Antennas and Propagation

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A three-dimensional FDTD subgridding algorithm with separated temporal and spatial interfaces and related stability analysis

Abstract

Keywords

ASJC Scopus subject areas

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