The method of fundamental solutions with dual reciprocity for some problems in elasticity

DOI10.1016/S0955-7997(03)00099-7zbMath1130.74482MaRDI QIDQ2486504

Jorge O. Brandão, P. W. Partridge, Glauceny C. de Medeiros

Publication date: 5 August 2005

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

zbMATH Keywords

ElasticityDual reciprocityMethod of Fundamental SolutionsPolyhamonic splines

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Boundary element methods applied to problems in solid mechanics (74S15)

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Cites Work

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• The method of fundamental solutions for the solution of steady-state free boundary problems
• The method of fundamental solutions for elliptic boundary value 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
• The method of fundamental solutions for the numerical solution of the biharmonic equation
• Fundamental Solutions Method for Elliptic Boundary Value Problems
• The multiple Reciprocity boundary element method in elasticity: A new approach for transforming domain integrals to the boundary
• The method of fundamental solutions for axisymmetric potential problems
• The method of fundamental solutions for heat conduction in layered materials
• The method of fundamental solutions for non‐linear thermal explosions
• A method for the approximate solution of limiting problems in mathematical physics