Stability of 2D FDTD algorithms with local mesh refinement for Maxwell's equations (Q879643)

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scientific article; zbMATH DE number 5152613
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Stability of 2D FDTD algorithms with local mesh refinement for Maxwell's equations
scientific article; zbMATH DE number 5152613

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    Stability of 2D FDTD algorithms with local mesh refinement for Maxwell's equations (English)
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    14 May 2007
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    The paper makes a stability analysis on the finite-differences time domain method (FDTD) when extended to incorporate local space-time adaptive mesh refinement (AMR). The authors investigate the stability of a range of interpolation schemes using Gustafsson-Kreiss-Sundstrom-Trefethen (GKS-T) mode and reflection/transmission coefficients analysis on the infinite domain with a single interface. The authors also apply matrix stability analysis for more complicated computational domains containing multiple grid refinement interfaces.
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    Maxwell,s equations
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    FDTD
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    subgridding
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    local grid refinement
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    stability analysis
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