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A Convergence Analysis of Yee's Scheme on Non-uniform Grids

Abstract:
The Yee scheme is the principle 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 accurate in space. In this paper we show that the Yee scheme is also second order accurate on a non-uniform mesh despite the fact that the local truncation error is (nodally) only first order.

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Unspecified
Publication date:
1992-09-01
UUID:
uuid:d55602e3-3457-45d9-bd73-5ea960ea1bb3
Local pid:
oai:eprints.maths.ox.ac.uk:1346
Deposit date:
2011-06-12

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