The element‐free Galerkin method for a quasistatic contact problem with the Tresca friction in elastic materials
DOI10.1002/num.22519OpenAlexW3081594750MaRDI QIDQ6066935
Yuebin Huo, Rui Ding, Quan Shen
Publication date: 14 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.22519
Numerical optimization and variational techniques (65K10) Nonlinear elasticity (74B20) Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Variational methods applied to PDEs (35A15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods applied to problems in solid mechanics (74S20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Free boundary problems for PDEs (35R35)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Error estimates for the interpolating moving least-squares method
- The improved element-free Galerkin method for three-dimensional wave equation
- 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 finite point method
- Meshless methods: a review and computer implementation aspects
- Adaptive \(hp\)-FEM for the contact problem with Tresca friction in linear elasticity: The primal-dual formulation and a posteriori error estimation
- \(hp\)-meshless cloud method
- Good quality point sets and error estimates for moving least square approximations.
- A hybrid improved complex variable element-free Galerkin method for three-dimensional potential problems
- The element-free Galerkin method for the nonlinear \(p\)-Laplacian equation
- Error estimates for a contact problem with the Tresca friction or the simplified Coulomb friction in elastic materials by the element-free Galerkin method
- 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
- Analysis of the element-free Galerkin method with penalty for general second-order elliptic problems
- Error analysis of the meshless finite point method
- Convergence analysis and error estimates of the element-free Galerkin method for the second kind of elliptic variational inequalities
- The complex variable interpolating moving least-squares method
- Convergence analysis and error estimates of the element-free Galerkin method for a class of parabolic evolutionary variational inequalities
- Error Estimates in Sobolev Spaces for Moving Least Square Approximations
- Numerical analysis of a bilateral frictional contact problem for linearly elastic materials
- Contact Mechanics and Friction
- Nonlocal and Nonlinear Friction Laws and Variational Principles for Contact Problems in Elasticity
- Smoothed particle hydrodynamics: theory and application to non-spherical stars
- Surfaces Generated by Moving Least Squares Methods
- Element‐free Galerkin methods
- A FINITE POINT METHOD IN COMPUTATIONAL MECHANICS. APPLICATIONS TO CONVECTIVE TRANSPORT AND FLUID FLOW
- Reproducing kernel particle methods
- Evolutionary variational inequalities arising in quasistatic frictional contact problems for elastic materials
- Error estimates for moving least square approximations