A comparative study of the direct boundary element method and the dual reciprocity boundary element method in solving the Helmholtz equation

DOI10.1017/S1446181100012724zbMath1135.65405OpenAlexW2013244893MaRDI QIDQ5445991

Yinglong Zhang, Song-Ping Zhu

Publication date: 6 March 2008

Published in: The ANZIAM Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446181100012724

zbMATH Keywords

comparison of methodsnumerical examplesHelmholtz equationdual reciprocity boundary element methodirregular frequencies

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (2)

Comparison between the formulation of the boundary element method that uses fundamental solution dependent of frequency and the direct radial basis boundary element formulation for solution of Helmholtz problems ⋮ Dual reciprocity versus Bessel function fundamental solution boundary element methods for the plane strain deformation of a thin plate on an elastic foundation

Cites Work

• On time-harmonic elastic-wave analysis by the boundary element method for moderate to high frequencies
• An improved boundary integral equation method for Helmholtz problems
• Calculation of eigenvalues of the Helmholtz equation by an integral equation
• Solution of the Helmholtz eigenvalue problem via the boundary element method
• Improved Integral Formulation for Acoustic Radiation Problems
• The application of integral equation methods to the numerical solution of some exterior boundary-value problems
• Boundary Integral Equations for the Three-Dimensional Helmholtz Equation

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