A semi-analytical approach for radiation and scattering problems with circular boundaries

DOI10.1016/j.cma.2007.02.004zbMath1173.76405OpenAlexW1985556387MaRDI QIDQ1033226

J. Blot

Publication date: 6 November 2009

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2007.02.004

zbMATH Keywords

radiationscatteringFourier seriesHelmholtzdegenerate kernelnull-field integral equation

Mathematics Subject Classification ID

Related Items (22)

Meshless acoustic analysis using a weakly singular Burton-Miller boundary integral formulation ⋮ The collocation multipole method for solving multiple scattering problems with circular boundaries ⋮ Boundary methods for Dirichlet problems of Laplaces equation in elliptic domains with elliptic holes ⋮ Boundary methods for mixed boundary problems of Laplace's equation in elliptic domains with elliptic holes ⋮ Numerical analysis of SH wave field calculations for various types of a multilayered anisotropic inclusion ⋮ The interior field method for Laplace's equation in circular domains with circular holes ⋮ Coupling of boundary element and wave based methods for the efficient solution of complex multiple scattering problems ⋮ A multi-domain IBEM for the wave scattering and diffraction of P- and SV-waves by complex local sites ⋮ Singular boundary method: a review and computer implementation aspects ⋮ Singular value expansion for the Green function of Helmholtz operator ⋮ A novel method for solving the displacement and stress fields of an infinite domain with circular holes and/or inclusions subject to a screw dislocation ⋮ Acoustic scattering by multiple elliptical cylinders using collocation multipole method ⋮ The method of external excitation for solving Laplace singular eigenvalue problems ⋮ The null-field method of Dirichlet problems of Laplace's equation on circular domains with circular holes ⋮ Study on harbor resonance and focusing by using the null-field BIEM ⋮ Eigenproblems of two-dimensional acoustic cavities with smoothly varying boundaries by using the generalized multipole method ⋮ Boundary element-free methods for exterior acoustic problems with arbitrary and high wavenumbers ⋮ Torsional rigidity of an elliptic bar with multiple elliptic inclusions using a null-field integral approach ⋮ Parallel Volume Integral Equation Method for Two-Dimensional Elastodynamic Analysis ⋮ Null-field integral equation approach for free vibration analysis of circular plates with multiple circular holes ⋮ Scattering of sound from point sources by multiple circular cylinders using addition theorem and superposition technique ⋮ A complex variable boundary element-free method for the Helmholtz equation using regularized combined field integral equations

Cites Work

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• Dirichlet-to-Neumann boundary conditions for multiple scattering problems
• A new concept of modal participation factor for numerical instability in the dual BEM for exterior acoustics.
• On the numerical solution of a hypersingular integral equation in scattering theory
• Null-field integral equations for stress field around circular holes under antiplane shear
• TREATMENT OF RANK DEFICIENCY IN ACOUSTICS USING SVD
• Null-Field Integral Equation Approach for Plate Problems With Circular Boundaries
• The interaction of waves with arrays of vertical circular cylinders
• Weighted average flux method and flux limiters for the numerical simulation of shock waves in rigid porous media
• Improved Integral Formulation for Acoustic Radiation Problems
• The application of integral equation methods to the numerical solution of some exterior boundary-value problems
• Linear integral equations

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