The Galerkin boundary element method for exterior problems of 2-D Helmholtz equation with arbitrary wavenumber

DOI10.1016/J.ENGANABOUND.2010.07.001zbMath1244.65205OpenAlexW2008616591MaRDI QIDQ441713

Maojun Li, Jianjun Ma, Jia-Lin Zhu

Publication date: 7 August 2012

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2010.07.001

zbMATH Keywords

Helmholtz equationleast square methodhypersingular integralexterior problemsGalerkin boundary element method

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Boundary element methods applied to problems in fluid mechanics (76M15) Hydro- and aero-acoustics (76Q05) Boundary element methods for boundary value problems involving PDEs (65N38)

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Meshless acoustic analysis using a weakly singular Burton-Miller boundary integral formulation ⋮ A Burton-Miller boundary element-free method for Helmholtz problems ⋮ Sixth-order finite difference scheme for the Helmholtz equation with inhomogeneous Robin boundary condition ⋮ The boundary element-free method for 2D interior and exterior Helmholtz problems ⋮ Unnamed Item ⋮ Solving Helmholtz equation at high wave numbers in exterior domains ⋮ Boundary element-free methods for exterior acoustic problems with arbitrary and high wavenumbers ⋮ Is Pollution Effect of Finite Difference Schemes Avoidable for Multi-Dimensional Helmholtz Equations with High Wave Numbers? ⋮ An improved boundary point interpolation method for exterior acoustic radiation problem ⋮ A complex variable boundary element-free method for the Helmholtz equation using regularized combined field integral equations

Cites Work

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• A finite element method for the double‐layer potential solutions of the Neumann exterior problem
• Regularization of hypersingular and nearly singular integrals in the potential theory and elasticity
• 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
• Acoustic and electromagnetic equations. Integral representations for harmonic problems

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