Analysis of FDTD to UPML for Maxwell equations in polar coordinates

Nengsheng, Fang; Longan, Ying

doi:10.1016/s0252-9602(11)60378-0

Acta Mathematica Scientia

2011

DOI: 10.1016/s0252-9602(11)60378-0

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Analysis of FDTD to UPML for Maxwell equations in polar coordinates

Fang Nengsheng

Ying Longan

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Cited by 2 publications

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Analysis of the energy‐conserved S‐FDTD scheme for variable coefficient Maxwell's equations in disk domains

Dong

2015

Math Methods in App Sciences

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In this paper, we analyze the energy‐conserved splitting finite‐difference time‐domain (FDTD) scheme for variable coefficient Maxwell's equations in two‐dimensional disk domains. The approach is energy‐conserved, unconditionally stable, and effective. We strictly prove that the EC‐S‐FDTD scheme for the variable coefficient Maxwell's equations in disk domains is of second order accuracy both in time and space. It is also strictly proved that the scheme is energy‐conserved, and the discrete divergence‐free is of second order convergence. Numerical experiments confirm the theoretical results, and practical test is simulated as well to demonstrate the efficiency of the proposed EC‐S‐FDTD scheme. Copyright © 2015 John Wiley & Sons, Ltd.

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Analysis of the energy‐conserved S‐FDTD scheme for variable coefficient Maxwell's equations in disk domains

Dong

2015

Math Methods in App Sciences

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Stability and Super Convergence Analysis of ADI-FDTD for the 2D Maxwell Equations in a Lossy Medium

Gao

2012

Acta Mathematica Scientia

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Analysis of FDTD to UPML for Maxwell equations in polar coordinates

Cited by 2 publications

References 19 publications

Analysis of the energy‐conserved S‐FDTD scheme for variable coefficient Maxwell's equations in disk domains

Analysis of the energy‐conserved S‐FDTD scheme for variable coefficient Maxwell's equations in disk domains

Stability and Super Convergence Analysis of ADI-FDTD for the 2D Maxwell Equations in a Lossy Medium

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