A fully discrete approximation method for the exterior Neumann problem of the Helmholtz equation

DOI10.4171/ZAA/483zbMath0822.65095OpenAlexW2340224774MaRDI QIDQ1340795

Siegfried Prössdorf, Jukka Saranen

Publication date: 15 October 1995

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/483

zbMATH Keywords

convergenceHelmholtz equationhypersingular boundary integral equationexterior Neumann problemtrigonometric collocation methodacoustic boundary value problem

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (9)

The impedance problem for the propagative Helmholtz equation in interior multiply connected domain ⋮ A fully discrete Galerkin method for integral and pseudodifferential equations on closed curves ⋮ A quadrature method for the hypersingular integral equation on an interval ⋮ Hypersingular integral equations not needed in the impedance problem in scattering theory. ⋮ A new integral equation approach to the Neumann problem in acoustic scattering ⋮ Fast collocation solvers for integral equations on open arcs ⋮ Fast solvers of integral and pseudodifferential equations on closed curves ⋮ Method of interior boundaries for the impedance problem in scattering theory. ⋮ Integral equation method for the acoustic impedance problem in interior multiply connected domain.

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