A comparative study of the boundary and finite element methods for the Helmholtz equation in two dimensions

DOI10.1016/j.enganabound.2006.07.005zbMath1195.65166OpenAlexW2035513589MaRDI QIDQ1958268

Mark G. Blyth, C. Pozrikidis

Publication date: 28 September 2010

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2006.07.005

zbMATH Keywords

finite element methodboundary element methodHelmholtz equationmodified Helmholtz equation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (6)

Solution of the 3D-Helmholtz equation in exterior domains using spherical harmonic decomposition ⋮ Numerical implementation of the EDEM for modified Helmholtz BVPs on annular domains ⋮ High performence of sloshing problem in cylindrical tank with various barrels by isogeometric boundary element method ⋮ Numerical solution of the two-dimensional Helmholtz equation with variable coefficients by the radial integration boundary integral and integro-differential equation methods ⋮ Solution of nonhomogeneous Helmholtz equation with variable coefficient using boundary domain integral method ⋮ Performance assessment of internal porous structures on liquid sloshing in various 3D tanks by multi-domain IGABEM

Uses Software

• BEMLIB

Cites Work

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• On accuracy conditions for the numerical computation of waves
• On integral equations of the first kind with logarithmic kernels
• Finite element solution of the Helmholtz equation with high wave number. I: The \(h\)-version of the FEM
• A note on the relation between the boundary- and finite-element method with application to Laplace's equation in two dimensions
• A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution
• Wave Motion
• Acoustic Propagation in Dispersions and the Geometric Theory of Diffraction

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