A least-squares non-polynomial finite element method for solving the polygonal-line grating problem

DOI10.1016/j.jmaa.2012.08.024zbMath1364.65260OpenAlexW2094360532MaRDI QIDQ1759919

Fuming Ma, Enxi Zheng, Deyue Zhang

Publication date: 22 November 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.08.024

zbMATH Keywords

convergencenumerical experimentserror estimateHelmholtz equationdiffractionFourier-Bessel functionsgrating problemnon-polynomial finite element method

Mathematics Subject Classification ID

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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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