Explicit and provably stable spatiotemporal FDTD refinement

W. Tierens

doi:10.1016/j.jcp.2018.09.015

Explicit and provably stable spatiotemporal FDTD refinement

W. Tierens

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

2 Scopus citations

Abstract

In this paper we introduce an explicit and provably conditionally stable Finite Difference Time Domain (FDTD) algorithm for Maxwell's equations, with local refinement in both the spatial discretization length and in the time step (spatiotemporal refinement). This enables local spatial refinement with a locally reduced time step.

Original language	English
Pages (from-to)	901-917
Number of pages	17
Journal	Journal of Computational Physics
Volume	375
DOIs	https://doi.org/10.1016/j.jcp.2018.09.015
State	Published - Dec 15 2018
Externally published	Yes

Keywords

FDTD
Maxwell's equations
Multirate
Multiscale
Spatial refinement
Temporal refinement

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10.1016/j.jcp.2018.09.015

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title = "Explicit and provably stable spatiotemporal FDTD refinement",

abstract = "In this paper we introduce an explicit and provably conditionally stable Finite Difference Time Domain (FDTD) algorithm for Maxwell's equations, with local refinement in both the spatial discretization length and in the time step (spatiotemporal refinement). This enables local spatial refinement with a locally reduced time step.",

keywords = "FDTD, Maxwell's equations, Multirate, Multiscale, Spatial refinement, Temporal refinement",

author = "W. Tierens",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier Inc.",

year = "2018",

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day = "15",

doi = "10.1016/j.jcp.2018.09.015",

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T1 - Explicit and provably stable spatiotemporal FDTD refinement

AU - Tierens, W.

PY - 2018/12/15

Y1 - 2018/12/15

N2 - In this paper we introduce an explicit and provably conditionally stable Finite Difference Time Domain (FDTD) algorithm for Maxwell's equations, with local refinement in both the spatial discretization length and in the time step (spatiotemporal refinement). This enables local spatial refinement with a locally reduced time step.

AB - In this paper we introduce an explicit and provably conditionally stable Finite Difference Time Domain (FDTD) algorithm for Maxwell's equations, with local refinement in both the spatial discretization length and in the time step (spatiotemporal refinement). This enables local spatial refinement with a locally reduced time step.

KW - FDTD

KW - Maxwell's equations

KW - Multirate

KW - Multiscale

KW - Spatial refinement

KW - Temporal refinement

UR - http://www.scopus.com/inward/record.url?scp=85053197895&partnerID=8YFLogxK

U2 - 10.1016/j.jcp.2018.09.015

DO - 10.1016/j.jcp.2018.09.015

M3 - Article

AN - SCOPUS:85053197895

SN - 0021-9991

VL - 375

SP - 901

EP - 917

JO - Journal of Computational Physics

JF - Journal of Computational Physics

ER -

Explicit and provably stable spatiotemporal FDTD refinement

Abstract

Keywords

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