Seminar series
Date
Thu, 29 Jan 2009
Time
12:30 -
13:30
Location
Gibson 1st Floor SR
Speaker
Richard Norton
Organisation
University of Oxford
Modelling the behaviour of light in photonic crystal fibres requires
solving 2nd-order elliptic eigenvalue problems with discontinuous
coefficients. The eigenfunctions of these problems have limited
regularity. Therefore, the planewave expansion method would appear to
be an unusual choice of method for such problems. In this talk I
examine the convergence properties of the planewave expansion method as
well as demonstrate that smoothing the coefficients in the problem (to
get more regularity) introduces another error and this cancels any
benefit that smoothing may have.