A dual weighted residual method applied to complex periodic gratings

Natacha H. Lord, Anthony J. Mulholland

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4 Citations (Scopus)
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An extension of the dual weighted residual (DWR) method to the analysis of electromagnetic waves in a periodic diffraction grating is presented. Using the α,0-quasi-periodic transformation, an upper bound for the a posteriori error estimate is derived. This is then used to solve adaptively the associated Helmholtz problem. The goal is to achieve an acceptable accuracy in the computed diffraction efficiency while keeping the computational mesh relatively coarse. Numerical results are presented to illustrate the advantage of using DWR over the global a posteriori error estimate approach. The application of the method in biomimetic, to address the complex diffraction geometry of the Morpho butterfly wing is also discussed.
Original languageEnglish
Article number20130176
Number of pages17
JournalProceedings of the Royal Society of Edinburgh: Section A Mathematics
Issue number2160
Early online date25 Sept 2013
Publication statusPublished - 8 Dec 2013


  • periodic grating
  • goal oriented
  • finite element


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