Error estimates for a contact problem with the Tresca friction or the simplified Coulomb friction in elastic materials by the element-free Galerkin method

DOI10.1016/j.apm.2019.07.052zbMath1443.74269OpenAlexW2965968639MaRDI QIDQ1988700

Yu Wang, Quan Shen, Rui Ding

Publication date: 24 April 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2019.07.052

zbMATH Keywords

element-free Galerkin methodcontact problemspenalty methodelliptic variational inequalityduality algorithm

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (7)

Convergence analysis and error estimates of the interpolating element-free Galerkin method for the evolutionary variational inequality of the second-order in time ⋮ The element‐free Galerkin method for a quasistatic contact problem with the Tresca friction in elastic materials ⋮ The interpolating element-free Galerkin method for the \(p\)-Laplace double obstacle mixed complementarity problem ⋮ Numerical solution of the quasistatic contact problem with the Tresca friction in elastic-viscoplastic materials by the element-free Galerkin method ⋮ The element-free Galerkin method for the dynamic Signorini contact problems with friction in elastic materials ⋮ Boundary element and augmented Lagrangian methods for contact problem with Coulomb friction ⋮ The element-free Galerkin method for the variational-hemivariational inequality of the dynamic Signorini-Tresca contact problems with friction in elastic materials

Cites Work

• Error estimates for the interpolating moving least-squares method
• Discontinuous Galerkin methods for a contact problem with Tresca friction arising in linear elasticity
• Analyzing three-dimensional viscoelasticity problems via the improved element-free Galerkin (IEFG) method
• On the stability of the moving least squares approximation and the element-free Galerkin method
• Existence of solutions of Signorini problems with friction
• Error estimates for the moving least-square approximation and the element-free Galerkin method in \(n\)-dimensional spaces
• Error estimates for the interpolating moving least-squares method in \(n\)-dimensional space
• Error estimates for the finite point method
• Adaptive \(hp\)-FEM for the contact problem with Tresca friction in linear elasticity: The primal-dual formulation and a posteriori error estimation
• A boundary element-free method (BEFM) for two-dimensional potential problems
• Existence and local uniqueness of solutions to contact problems in elasticity with nonlinear friction laws
• Element-free Galerkin method for wave propagation and dynamic fracture.
• The error estimates of the interpolating element-free Galerkin method for two-point boundary value problems
• Analysis and application of the element-free Galerkin method for nonlinear sine-Gordon and generalized sinh-Gordon equations
• Analysis of the element-free Galerkin method for Signorini problems
• \(hp\)-FEM convergence for unilateral contact problems with Tresca friction in plane linear elastostatics
• Convergence analysis and error estimates of the element-free Galerkin method for a class of parabolic evolutionary variational inequalities
• Dual form of discontinuous deformation analysis
• Error Estimates in Sobolev Spaces for Moving Least Square Approximations
• DYNAMIC FRACTURE USING ELEMENT-FREE GALERKIN METHODS
• Nonlocal and Nonlinear Friction Laws and Variational Principles for Contact Problems in Elasticity
• Contact Mechanics
• Surfaces Generated by Moving Least Squares Methods
• Element‐free Galerkin methods
• Exact imposition of essential boundary condition and material interface continuity in Galerkin‐based meshless methods
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