A dual weighted residual method applied to complex periodic gratings
Lord, Natacha H. and Mulholland, Anthony J. (2013) A dual weighted residual method applied to complex periodic gratings. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 469 (2160). 20130176. ISSN 0308-2105 (https://doi.org/10.1098/rspa.2013.0176)
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Abstract
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.
ORCID iDs
Lord, Natacha H. and Mulholland, Anthony J. ORCID: https://orcid.org/0000-0002-3626-4556;-
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Item type: Article ID code: 45014 Dates: DateEvent8 December 2013Published25 September 2013Published OnlineNotes: I have added a prepublication given to me by T. Mulholland Subjects: Science > Mathematics Department: Faculty of Science > Mathematics and Statistics Depositing user: Pure Administrator Date deposited: 26 Sep 2013 08:50 Last modified: 12 Dec 2024 02:50 Related URLs: URI: https://strathprints.strath.ac.uk/id/eprint/45014