A nonconforming virtual element method for a fourth-order hemivariational inequality in Kirchhoff plate problem
DOI10.1007/s10915-022-01759-1zbMath1493.65199OpenAlexW4210541698MaRDI QIDQ2113627
Fang Feng, Weimin Han, Jian-Guo Huang
Publication date: 14 March 2022
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-022-01759-1
well-posednesserror analysishemivariational inequalityKirchhoff plate problemnonconforming virtual element methoddouble bundle algorithm
Friction in solid mechanics (74M10) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Energy minimization in equilibrium problems in solid mechanics (74G65) 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) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with mechanics of deformable solids (35Q74) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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- Equivalent projectors for virtual element methods
- \texttt{PolyMesher}: a general-purpose mesh generator for polygonal elements written in Matlab
- Nonlinear inclusions and hemivariational inequalities. Models and analysis of contact problems
- Virtual element methods for plate bending problems
- Finite element analysis for general elastic multi-structures
- The Morley-type virtual element for plate bending problems
- Some error analysis on virtual element methods
- Generalized monotonicity and convexity of non-differentiable functions
- Finite element method for hemivariational inequalities. Theory, methods and applications
- Minimization principles for elliptic hemivariational inequalities
- Virtual element method for simplified friction problem
- The conforming virtual element method for polyharmonic problems
- Virtual element method for an elliptic hemivariational inequality with applications to contact mechanics
- Some estimates for virtual element methods
- The nonconforming virtual element method for elasticity problems
- Virtual element methods for elliptic variational inequalities of the second kind
- The nonconforming virtual element method
- The nonconforming virtual element method for plate bending problems
- Virtual Elements for Linear Elasticity Problems
- Theoretical Numerical Analysis
- Optimization and nonsmooth analysis
- Virtual element methods on meshes with small edges or faces
- Double Bundle Method for finding Clarke Stationary Points in Nonsmooth DC Programming
- Stability analysis for the virtual element method
- The fully nonconforming virtual element method for biharmonic problems
- Poincaré–Friedrichs Inequalities for PiecewiseH2Functions
- Conforming and nonconforming virtual element methods for elliptic problems
- Nonconforming Finite Element Analysis for a Plate Contact Problem
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- Nonconforming Virtual Element Method for $2m$th Order Partial Differential Equations in $\mathbb {R}^n$
- The Hitchhiker's Guide to the Virtual Element Method
- A Class of Variational-Hemivariational Inequalities with Applications to Frictional Contact Problems
- Numerical analysis of hemivariational inequalities in contact mechanics
- The Mathematical Theory of Finite Element Methods
- Virtual element methods for the obstacle problem
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