A Multi-Domain Spectral IPDG Method for Helmholtz Equation with High Wave Number

DOI10.4208/jcm.1210-m4094zbMath1289.65265OpenAlexW1986610060MaRDI QIDQ2859891

Jing Zhang, Li-Lian Wang, Lun-Ji Song

Publication date: 19 November 2013

Published in: Journal of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/afe441369b5b1d441a0aa908fc9db71913820df5

zbMATH Keywords

Helmholtz equationmulti-domain spectral methodGalerkin formulationDirichlet-to-Neumann boundary condition

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Adaptive finite element method for the sound wave problems in two kinds of media ⋮ Seamless integration of elliptic Dirichlet-to-Neumann boundary condition and high order spectral element method for scattering problem ⋮ Accurate calculation of spherical and vector spherical harmonic expansions via spectral element grids

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