Solving Helmholtz equation at high wave numbers in exterior domains

DOI10.1016/j.amc.2016.11.015zbMath1411.78008OpenAlexW2559509558MaRDI QIDQ1735096

Jizu Huang, Yau Shu Wong, Kun Wang

Publication date: 28 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2016.11.015

zbMATH Keywords

Helmholtz equationlocal refinementhigh wave numberpolar and spherical coordinatespollution-free scheme

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Electromagnetic theory (general) (78A25) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (4)

BARYCENTRIC RATIONAL INTERPOLATION METHOD OF THE HELMHOLTZ EQUATION WITH IRREGULAR DOMAIN ⋮ A new finite difference scheme for the 3D Helmholtz equation with a preconditioned iterative solver ⋮ Dirac assisted tree method for 1D heterogeneous Helmholtz equations with arbitrary variable wave numbers ⋮ Stability and error estimates of a new high-order compact ADI method for the unsteady 3D convection-diffusion equation

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