An asymptotic model based on matching far and near field expansions for thin gratings problems

DOI10.1051/m2an/2020053zbMath1477.65235OpenAlexW3046574890MaRDI QIDQ4958845

Manuel Solano, Rodolfo Rodríguez, Cinthya Rivas, Peter B. Monk

Publication date: 15 September 2021

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2020053

zbMATH Keywords

finite element methodasymptotic analysisdiffraction gratingthin layers

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Diffraction, scattering (78A45) Power series (including lacunary series) in one complex variable (30B10) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Composite media; random media in optics and electromagnetic theory (78A48)

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