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Numerical methods for scattering problems by curved gratings at high frequencies

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Publication:4365800
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DOI<1531::AID-MMA944>3.0.CO;2-A 10.1002/(SICI)1099-1476(19971125)20:17<1531::AID-MMA944>3.0.CO;2-AzbMath0891.65113OpenAlexW2044925806MaRDI QIDQ4365800

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Publication date: 1 July 1998

Full work available at URL: https://doi.org/10.1002/(sici)1099-1476(19971125)20:17<1531::aid-mma944>3.0.co;2-a


zbMATH Keywords

error estimatesfinite element methodscatteringHelmholtz equationdiffractionhigh frequenciesgratingstransition regions


Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)


Related Items (2)

Sufficient uniqueness conditions for the solution of the time harmonic Maxwell's equations associated with surface impedance boundary conditions ⋮ Finite gratings at high frequencies



Cites Work

  • Scattering theory for diffraction gratings
  • A quasi-periodic boundary value problem for the Laplacian and the continuation of its resolvent


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