Solving the Helmholtz Equation for Exterior Problems with Variable Index of Refraction: I

DOI10.1137/0901026zbMath0469.65084OpenAlexW2051327977MaRDI QIDQ3923552

Gregory A. Kriegsmann, Cathleen Synge Morawetz

Publication date: 1980

Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/27ddeb637bd60c62c50129a2aaf6da5c60473315

zbMATH Keywords

relaxationHelmholtz equationexterior problemsinhomogeneous mediaHelmholtz resonatorreduced wave equationlenslimiting amplitude principlevariable index of refractionscattering of a plane wave off a metal cylinder

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06) Applications to the sciences (65Z05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

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