The virtual element method for general elliptic hemivariational inequalities
DOI10.1016/j.cam.2020.113330zbMath1457.65220OpenAlexW3116404925MaRDI QIDQ2226264
Weimin Han, Bangmin Wu, Fei Wang
Publication date: 11 February 2021
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2020.113330
Friction in solid mechanics (74M10) 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) Numerical solutions to equations with nonlinear operators (65J15) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items
Cites Work
- Nonlinear inclusions and hemivariational inequalities. Models and analysis of contact problems
- Solution of variational inequalities in mechanics
- Numerical analysis of stationary variational-hemivariational inequalities
- On the virtual element method for three-dimensional linear elasticity problems on arbitrary polyhedral meshes
- A virtual element method for contact
- Arbitrary order 2D virtual elements for polygonal meshes: I: Elastic problem
- Finite element method for hemivariational inequalities. Theory, methods and applications
- Virtual element method for simplified friction problem
- The nonconforming virtual element method for a stationary Stokes hemivariational inequality with slip boundary condition
- Virtual element method for an elliptic hemivariational inequality with applications to contact mechanics
- Some basic formulations of the virtual element method (VEM) for finite deformations
- The nonconforming virtual element method for elasticity problems
- Virtual element methods for elliptic variational inequalities of the second kind
- A virtual element method for elastic and inelastic problems on polytope meshes
- Virtual Elements for Linear Elasticity Problems
- An analytical and numerical approach to a bilateral contact problem with nonmonotone friction
- Theoretical Numerical Analysis
- Optimization and nonsmooth analysis
- Generalized Gradients and Applications
- Stability analysis for the virtual element method
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- A Class of Variational-Hemivariational Inequalities with Applications to Frictional Contact Problems
- Numerical analysis of hemivariational inequalities in contact mechanics
- Numerical Analysis of a Hyperbolic Hemivariational Inequality Arising in Dynamic Contact
- Numerical Analysis of Elliptic Hemivariational Inequalities
- ANALYSIS OF A CONTACT PROBLEM WITH NORMAL COMPLIANCE, FINITE PENETRATION AND NONMONOTONE SLIP DEPENDENT FRICTION
- The Mathematical Theory of Finite Element Methods
- Virtual element methods for the obstacle problem
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item