Abstract
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 language | English (US) |
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Pages (from-to) | 129-143 |
Number of pages | 15 |
Journal | Journal of Scientific Computing |
Volume | 39 |
Issue number | 1 |
DOIs | |
State | Published - Apr 2009 |
Keywords
- Finite difference time domain method
- Nonorthogonal grid
- Overlapping cells
- Yee's scheme
ASJC Scopus subject areas
- Software
- Theoretical Computer Science
- Numerical Analysis
- Engineering(all)
- Computational Theory and Mathematics
- Computational Mathematics
- Applied Mathematics