A system of boundary integral equations for the transmission problem in acoustics

DOI10.1016/j.apnum.2011.05.003zbMath1387.76072OpenAlexW2065410197MaRDI QIDQ550093

Liwei Xu, George C. Hsiao

Publication date: 8 July 2011

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2011.05.003

zbMATH Keywords

boundary integral equationvariational equationGalerkin boundary element methodacoustic transmission problem

Mathematics Subject Classification ID

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)

Related Items (16)

A Bayesian method for an inverse transmission scattering problem in acoustics ⋮ Boundary integral formulations for acoustic modelling of high-contrast media ⋮ The inverse scattering problem for partially penetrable obstacles ⋮ A spectral projection method for transmission eigenvalues ⋮ A priori error estimates of the dtn-FEM for the transmission problem in acoustics ⋮ A fast and high-order method for the three-dimensional elastic wave scattering problem ⋮ The fluid-solid interaction scattering problem with unknown buried objects ⋮ Discontinuous Galerkin method for the Helmholtz transmission problem in two-level homogeneous media ⋮ A hybrid numerical-asymptotic boundary element method for high frequency scattering by penetrable convex polygons ⋮ An accurate boundary element method for the exterior elastic scattering problem in two dimensions ⋮ An Efficient Cartesian Grid-Based Method for Scattering Problems with Inhomogeneous Media ⋮ Boundary Integral Equation Methods for the Two-Dimensional Fluid-Solid Interaction Problem ⋮ Boundary integral solution of potential problems arising in the modelling of electrified oil films ⋮ Sixth-order finite difference scheme for the Helmholtz equation with inhomogeneous Robin boundary condition ⋮ Boundary integral equation methods for the elastic and thermoelastic waves in three dimensions ⋮ Coupling of boundary integral equation and finite element methods for transmission problems in acoustics

Cites Work

• Symmetric boundary integral formulations for Helmholtz transmission problems
• A direct boundary integral equation method for transmission problems
• Rapid solution of integral equations of scattering theory in two dimensions
• Mixed boundary integral methods for Helmholtz transmission problems
• Boundary integral equations for mixed Dirichlet, Neumann and transmission problems
• On Single Integral Equations for the Transmission Problem of Acoustics
• Transmission problems for the Helmholtz equation
• On the Coupling of Boundary Integral and Finite Element Methods
• Stabilized FEM‐BEM Coupling for Helmholtz Transmission Problems
• The Resistive and Conductive Problems for the Exterior Helmholtz Equation
• A fast algorithm for particle simulations
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