On the algorithm of the solution of the Signorini problem

DOI10.1016/0021-8928(87)90141-9zbMath0678.73081OpenAlexW2145067835MaRDI QIDQ1124436

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)90141-9

zbMATH Keywords

convergenceminimum problemdual formulationdecomposition approachconvexity constraintselastic half-planestampisoparametric boundary elementsboundary functionalmaximum problemunilateral variational problemapproximation of the contact boundaryfixed Lagrange multipliersgeneralization of the Frank-Wolf methodLagrange maximin problemsmethod of descentRitz process

Mathematics Subject Classification ID

Numerical methods involving duality (49M29) Numerical optimization and variational techniques (65K10) Contact in solid mechanics (74M15) Mathematical programming (90C99) Theories of friction (tribology) (74A55)

Related Items (5)

Formulation of the variational boundary element method with improved accuracy ⋮ A relation between the formulations of the boundary element method ⋮ Mixed spatial problems of elasticity theory with a circular line separating the boundary conditions ⋮ 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

Cites Work

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• Solution of contact problems with known Green's function
• On an effective algorithm for minimizing generalized Trefftz functionals of linear elasticity theory
• On certain formulations of the boundary-elements method
• 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
• Existence Theorems in Linear and Semi-Linear Elasticity

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