Off-boundary approach to the boundary element method

DOI10.1016/0045-7825(88)90157-0zbMath0635.73039OpenAlexW2077735764MaRDI QIDQ1097741

B. George

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0045-7825(88)90157-0

zbMATH Keywords

scatteringboundary element methodill-conditioningspherical cavityisotropicnonintegrable singularitiesfictitious eigenfrequenciescompact inhomogeneitiesexternal domainshomogeneous solidoff-boundary BEMplane, time-harmonic lognitudinal waveunbounded linearly elastic

Mathematics Subject Classification ID

Inhomogeneity in solid mechanics (74E05) Wave scattering in solid mechanics (74J20) Waves in solid mechanics (74J99) Numerical and other methods in solid mechanics (74S99)

Related Items (7)

A transformation of the CVIS method to eliminate the irregular frequency ⋮ Direct boundary integral equations for elastodynamics in 3-D half-spaces ⋮ Evaluation of Green's boundary formula and its first- and second-order derivatives in Legendre series ⋮ The method of fundamental solutions for transmission and scattering of elastic waves ⋮ Nonreflecting boundary conditions in acoustics for finite element methods based upon off-surface boundary integral equations ⋮ Nonreflecting boundary conditions in elastodynamics for finite element methods based upon off-surface boundary integral equations ⋮ On the `interior Helmholtz integral equation formulation' in sound radiation problems

Cites Work

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• Acoustic radiation from vibrating surfaces at characteristic frequencies
• An exterior problem in elastodynamics
• Boundary Integrals in Elastodynamics
• Scattering by Multiple Crack Configurations
• Scattering From Three-Dimensional Planar Cracks by the Boundary Integral Equation Method
• A comparative study on three boundary element method approaches to problems in elastodynamics
• ON THE NULL-FIELD EQUATIONS FOR THE EXTERIOR PROBLEMS OF ACOUSTICS
• Improved Integral Formulation for Acoustic Radiation Problems

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