An adaptive finite element method for the diffraction grating problem with PML and few-mode DtN truncations

DOI10.1007/s10915-018-0683-0zbMath1396.78007OpenAlexW2789466385WikidataQ130188021 ScholiaQ130188021MaRDI QIDQ1785515

Hai-jun Wu, Wei-Qi Zhou

Publication date: 28 September 2018

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-018-0683-0

zbMATH Keywords

adaptivitya posteriori error estimatesperfectly matched layerdiffraction gratingsfew-mode DtN operator

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) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items (10)

An adaptive finite element DtN method for the elastic wave scattering problem ⋮ PML and High-Accuracy Boundary Integral Equation Solver for Wave Scattering by a Locally Defected Periodic Surface ⋮ Exponential Convergence of Perfectly Matched Layers for Scattering Problems with Periodic Surfaces ⋮ Perfectly matched layers for nonlocal Helmholtz equations. II: Multi-dimensional cases ⋮ Windowed Green function method for wave scattering by periodic arrays of 2D obstacles ⋮ Higher-Order Convergence of Perfectly Matched Layers in Three-Dimensional Biperiodic Surface Scattering Problems ⋮ A diffraction problem for the biharmonic wave equation in one-dimensional periodic structures ⋮ Hybrid absorbing boundary conditions of PML and CRBC ⋮ Numerical solutions for Helmholtz equation with stochastic interface based on PML method ⋮ Shape optimization for the strong routing of light in periodic diffraction gratings

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