Virtual element method for simplified friction problem
From MaRDI portal
Publication:1992224
DOI10.1016/j.aml.2018.06.002OpenAlexW2807879753MaRDI QIDQ1992224
Publication date: 2 November 2018
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2018.06.002
Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for variational inequalities and related problems (65K15)
Related Items
A priori error analysis of virtual element method for contact problem, Conforming virtual element approximations of the two-dimensional Stokes problem, The interior penalty virtual element method for the fourth-order elliptic hemivariational inequality, A posteriori error estimates of virtual element method for a simplified friction problem, Virtual element method for a history-dependent variational-hemivariational inequality in contact problems, Nonconforming virtual element methods for the fourth-order variational inequalities of the first kind, Gradient recovery type a posteriori error estimates of virtual element method for an elliptic variational inequality of the second kind, The virtual element method for general variational-hemivariational inequalities with applications to contact mechanics, A Hybrid High-Order Discretization Combined with Nitsche's Method for Contact and Tresca Friction in Small Strain Elasticity, The nonconforming virtual element method for a stationary Stokes hemivariational inequality with slip boundary condition, The virtual element method for general elliptic hemivariational inequalities, A virtual element method for the steady-state Poisson-Nernst-Planck equations on polygonal meshes, The virtual element method for an obstacle problem of a Kirchhoff-Love plate, Virtual element method for an elliptic hemivariational inequality with applications to contact mechanics, Numerical analysis of hemivariational inequalities in contact mechanics, Virtual element methods for elliptic variational inequalities of the second kind, Virtual element method for a frictional contact problem with normal compliance, A nonconforming virtual element method for a fourth-order hemivariational inequality in Kirchhoff plate problem
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Equivalent projectors for virtual element methods
- \(EQ^{\text{rot}}_1\) nonconforming finite element approximation to Signorini problem
- A posteriori error estimates for discontinuous Galerkin methods of obstacle problems
- A discontinuous Galerkin formulation for classical and gradient plasticity. I: Formulation and analysis
- Error estimates for the finite element solution of variational inequalities. Part I. primal theory
- On the virtual element method for three-dimensional linear elasticity problems on arbitrary polyhedral meshes
- An interface-fitted mesh generator and virtual element methods for elliptic interface problems
- On the quadratic finite element approximation to the obstacle problem
- The virtual element method in 50 lines of MATLAB
- Discontinuous Galerkin methods for solving a quasistatic contact problem
- A plane wave virtual element method for the Helmholtz problem
- The nonconforming virtual element method for plate bending problems
- A posteriori error control of discontinuous Galerkin methods for elliptic obstacle problems
- Discontinuous Galerkin Methods for Solving Elliptic Variational Inequalities
- Discontinuous Galerkin methods for solving the Signorini problem
- A $C^1$ Virtual Element Method for the Cahn--Hilliard Equation with Polygonal Meshes
- Theoretical Numerical Analysis
- Error Estimates for the Approximation of a Class of Variational Inequalities
- Stability analysis for the virtual element method
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- The Hitchhiker's Guide to the Virtual Element Method
- A Stream Virtual Element Formulation of the Stokes Problem on Polygonal Meshes
- The Mathematical Theory of Finite Element Methods
