Overlapping Yee FDTD method on nonorthogonal grids

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14 Scopus citations


We propose a new overlapping Yee (OY) method for solving time-domain Maxwell's equations on nonorthogonal grids. The proposed method is a direct extension of the Finite-Difference Time-Domain (FDTD) method to irregular grids. The OY algorithm is stable and maintains second-order accuracy of the original FDTD method, and it overcomes the late-time instability of the previous FDTD algorithms on nonorthogonal grids. Numerical examples are presented to illustrate the accuracy, stability, convergence and efficiency of the OY method.

Original languageEnglish (US)
Pages (from-to)129-143
Number of pages15
JournalJournal of Scientific Computing
Issue number1
StatePublished - Apr 2009


  • Finite difference time domain method
  • Nonorthogonal grid
  • Overlapping cells
  • Yee's scheme

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Numerical Analysis
  • General Engineering
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics


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