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- W4386472861 abstract "A provably stable summation-by-parts simultaneous approximation term (SBP-SAT) finite-difference time-domain (FDTD) subgridding method with arbitrary grid ratios is proposed to accurately and flexibly solve 2-D electromagnetic problems. The interpolation matrix with the grid ratio 1: <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>$n$</tex-math> </inline-formula> is first carefully designed, which satisfies the norm-compatible conditions and the SBP property to guarantee long-term stability. By introducing a virtual intermediate domain, the interpolation matrix with an arbitrary grid ratio <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>$n$</tex-math> </inline-formula> : <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>$m$</tex-math> </inline-formula> is decomposed into two interpolation matrices as <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>$n$</tex-math> </inline-formula> :1 and <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>$1$</tex-math> </inline-formula> :m. By combining two interpolation matrices, the interpolation matrix with an arbitrary grid ratio is derived, which is flexible to model complex structures. Five numerical examples were carried out to validate the effectiveness of the proposed SBP-SAT FDTD subgridding method with arbitrary grid ratios. Results show that it can flexibly model complex structures and significantly improve computational accuracy and efficiency." @default.
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- W4386472861 date "2023-01-01" @default.
- W4386472861 modified "2023-10-11" @default.
- W4386472861 title "Toward the 2-D Stable FDTD Subgridding Method With SBP-SAT and Arbitrary Grid Ratio" @default.
- W4386472861 doi "https://doi.org/10.1109/tmtt.2023.3308166" @default.
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