Kriegsmann, Gregory A.; Morawetz, Cathleen S. Solving the Helmholtz equation for exterior problems with variable index of refraction. I. (English) Zbl 0469.65084 SIAM J. Sci. Stat. Comput. 1, 371-385 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 14 Documents MSC: 65Z05 Applications to the sciences 65N22 Numerical solution of discretized equations for boundary value problems involving PDEs 65N06 Finite difference methods for boundary value problems involving PDEs 35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation 78A45 Diffraction, scattering Keywords:Helmholtz equation; exterior problems; variable index of refraction; reduced wave equation; relaxation; limiting amplitude principle; scattering of a plane wave off a metal cylinder; Helmholtz resonator; inhomogeneous media; lens × Cite Format Result Cite Review PDF Full Text: DOI Link