An accurate boundary element method for the exterior elastic scattering problem in two dimensions

DOI10.1016/j.jcp.2017.07.032zbMath1380.74059arXiv1608.08759OpenAlexW2509111469MaRDI QIDQ1694628

Gang Bao, Tao Yin, Liwei Xu

Publication date: 6 February 2018

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.08759

zbMATH Keywords

boundary element methodelastic waveBurton-Miller formulationhypersingular boundary integral operator

Mathematics Subject Classification ID

Wave scattering in solid mechanics (74J20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Boundary element methods for boundary value problems involving PDEs (65N38)

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Cites Work

• A fast and high-order method for the three-dimensional elastic wave scattering problem
• A system of boundary integral equations for the transmission problem in acoustics
• A high order spectral algorithm for elastic obstacle scattering in three dimensions
• Boundary integral equations
• Multilevel fast multipole algorithm for elastic wave scattering by large three-dimensional objects
• Integral equations with non integrable kernels
• Hypersingular boundary integral equations for radiation and scattering of elastic waves in three dimensions
• Nyström method for elastic wave scattering by three-dimensional obstacles
• A multi-level fast multipole BEM for 3-D elastodynamics in the frequency domain
• Boundary Integral Equation Methods for the Two-Dimensional Fluid-Solid Interaction Problem
• The application of integral equation methods to the numerical solution of some exterior boundary-value problems
• Acoustic and electromagnetic equations. Integral representations for harmonic problems
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