An algorithm and error estimates for the variational boundary element method in elasticity theory

DOI10.1016/0021-8928(92)90027-6zbMath0786.73084OpenAlexW2103191650MaRDI QIDQ1314173

V. Ya. Tereshchenko

Publication date: 3 March 1994

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(92)90027-6

zbMATH Keywords

fundamental solutionsinfluence functiondual problemsboundary functionalsdiscrete boundary equationsdiscrete boundary potentialsgeneralized Treftz functionals

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Boundary element methods applied to problems in solid mechanics (74S15) Error bounds for boundary value problems involving PDEs (65N15) Optimization of other properties in solid mechanics (74P10) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (4)

Formulation of the variational boundary element method with improved accuracy ⋮ Modelling the singularities in the solution of problems in the theory of elasticity ⋮ A relation between the formulations of the boundary element method ⋮ A numerical-analytical algorithm for solving crack problems

Cites Work

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• On certain formulations of the boundary-elements method
• On the algorithm of the solution of the Signorini problem
• Dual variational problems for boundary functionals of the linear theory of elasticity
• Dual formulations of the boundary-elements method. Application to elasticity theory problems for inhomogeneous bodies
• The problem of the justification of variational formulations of the boundary element method
• Contact problems of the theory of elasticity in the presence of wear

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