The Mathematical Institute, University of Oxford, Eprints Archive

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

Monk, Peter and Suli, Endre (1992) A Convergence Analysis of Yee's Scheme on Non-uniform Grids. Technical Report. Unspecified. (Submitted)

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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.

Item Type:Technical Report (Technical Report)
Subjects:O - Z > Partial differential equations
H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1346
Deposited By:Lotti Ekert
Deposited On:12 Jun 2011 09:51
Last Modified:12 Jun 2011 09:51

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