The method of fundamental solutions applied to 3D elasticity problems using a continuous collocation scheme

DOI10.1016/j.enganabound.2008.07.002zbMath1244.74152OpenAlexW2070530038MaRDI QIDQ443419

Youssef F. Rashed, George S. A. Fam

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.2008.07.002

zbMATH Keywords

boundary element methodmethod of fundamental solutionsthree-dimensional problemselasticity problemscontinuous collocation

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Boundary element methods applied to problems in solid mechanics (74S15) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

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Cites Work

• Fundamental solutions for the collocation method in planar elastostatics
• New application of hypersingular equations in the boundary element method
• On the evaluation of the stresses in the BEM for Reissner plate-bending problems
• The method of fundamental solutions for axisymmetric elasticity problems
• The method of fundamental solutions with dual reciprocity for diffusion and diffusion-convection using subdomains
• Matrix decomposition MFS algorithms for elasticity and thermo-elasticity problems in axisymmetric domains
• On the stability of the classical vacua in a minimalSU(5) five-dimensional supergravity model
• Fundamental solutions for the collocation method in three-dimensional elastostatics
• Exponential convergence andH-c multiquadric collocation method for partial differential equations
• The method of fundamental solutions for non‐linear thermal explosions
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