Exploiting the limiting amplitude principle to numerically solve scattering problems

DOI10.1016/0165-2125(82)90005-1zbMath0487.65057OpenAlexW2027013856MaRDI QIDQ1165568

Gregory A. Kriegsmann

Publication date: 1982

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(82)90005-1

zbMATH Keywords

Helmholtz equationrelaxation schemelimiting amplitude principlereduced wave equationsscattering of plane acoustic waves off a sound-soft cylinderscattering of plane shallow water waves off shoals

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

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