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A Convergence Analysis of Yee’s Scheme on Nonuniform Grids

1994; Society for Industrial and Applied Mathematics; Volume: 31; Issue: 2 Linguagem: Inglês

10.1137/0731021

1095-7170

Peter Monk, Endre Süli,

Advanced Numerical Methods in Computational Mathematics

The Yee scheme is the principal finite difference method used in computing time domain solutions of Maxwell's equations. On a uniform grid the method is easily seen to be second-order convergent in space. This paper shows that the Yee scheme is also second-order convergent on a nonuniform mesh despite the fact that the local truncation error is (nodally) only of first order.