Investigation of a two-dimensional spectral element method for Helmholtz's equation

DOI10.1016/S0021-9991(03)00204-3zbMath1024.65112OpenAlexW2035509358MaRDI QIDQ1401138

Omid Z. Mehdizadeh, Marius Paraschivoiu

Publication date: 17 August 2003

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

Full work available at URL: https://doi.org/10.1016/s0021-9991(03)00204-3

zbMATH Keywords

comparison of methodsspectral element methodnumerical examplesGalerkin finite element methodHelmholtz equationacoustic wavesnonreflecting boundary conditionssymmetric perfectly matched layer methodunbounded problems

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Uses Software

• LASPack

Cites Work

• Unnamed Item
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• Adaptive boundary-type finite element method for wave diffraction-refraction in harbors
• Special issue: Exterior problems of wave propagation
• A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution
• ANALYTICAL AND NUMERICAL STUDIES OF A FINITE ELEMENT PML FOR THE HELMHOLTZ EQUATION
• Domain Decomposition Algorithms for Indefinite Elliptic Problems
• Three-dimensional finite element calculations in acoustic scattering using arbitrarily shaped convex artificial boundaries
• A Galerkin least‐squares finite element method for the two‐dimensional Helmholtz equation
• Fundamental Results Concerning Integral Representations in Acoustic Radiation
• Preconditioners for spectral discretizations of Helmholtz's equation with Sommerfeld boundary conditions

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