On certain formulations of the boundary-elements method

DOI10.1016/0021-8928(87)90088-8zbMath0667.73061OpenAlexW2164629701MaRDI QIDQ1117753

V. Ya. Tereshchenko

Publication date: 1987

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(87)90088-8

zbMATH Keywords

double-layer potentialsboundary functionalsboundary-contact problemsfundamental boundary value problems of linear elasticity theorygeneralized Signorini problem typeminimization problems for Trefftz generalized functionalsunilateral variational problem

Mathematics Subject Classification ID

Newton-type methods (49M15) Contact in solid mechanics (74M15) Duality theory (optimization) (49N15) Dynamical problems in solid mechanics (74H99) Elastic materials (74B99) Theories of friction (tribology) (74A55)

Related Items (10)

The equilibrium boundary element method in boundary value problems of elasticity theory ⋮ 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 ⋮ On the algorithm of the solution of the Signorini problem ⋮ Mixed spatial problems of elasticity theory with a circular line separating the boundary conditions ⋮ The problem of the justification of variational formulations of the boundary element method ⋮ An algorithm and error estimates for the variational boundary element method in elasticity theory ⋮ Uncoupled dual formulations of the variational boundary element method in problems of the theory of elasticity ⋮ A numerical-analytical algorithm for solving crack problems

Cites Work

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• Method of orthogonal expansions on the domain boundary in three- dimensional problems of the linear theory of elasticity
• Dual variational problems for boundary functionals of the linear theory of elasticity
• Contact problems of the theory of elasticity in the presence of wear
• On an approach to the investigation of the Signorini problem using the idea of duality
• The Ritz procedure for constructing approximate solutions of problems of elasticity theory by the generalized Trefftz method
• Existence Theorems in Linear and Semi-Linear Elasticity

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