The virtual element method for a nonhomogeneous double obstacle problem of Kirchhoff plate

DOI10.1016/j.nonrwa.2023.103831MaRDI QIDQ6099593

Fang Feng, Jian-Guo Huang

Publication date: 20 June 2023

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

zbMATH Keywords

error estimatevirtual element methodprimal-dual active set algorithmnonhomogeneous obstacle problem

Mathematics Subject Classification ID

Thin bodies, structures (74Kxx) Numerical and other methods in solid mechanics (74Sxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)

Cites Work

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• Equivalent projectors for virtual element methods
• \texttt{PolyMesher}: a general-purpose mesh generator for polygonal elements written in Matlab
• Virtual element methods for plate bending problems
• Finite element analysis for general elastic multi-structures
• The Morley-type virtual element for plate bending problems
• Arbitrary order 2D virtual elements for polygonal meshes: I: Elastic problem
• Some error analysis on virtual element methods
• Plasticity. Mathematical theory and numerical analysis.
• Stabilized virtual element methods for the unsteady incompressible Navier-Stokes equations
• A Morley finite element method for the displacement obstacle problem of clamped Kirchhoff plates
• A nonconforming virtual element method for a fourth-order hemivariational inequality in Kirchhoff plate problem
• The conforming virtual element method for polyharmonic problems
• A medius error analysis for nonconforming virtual element methods for Poisson and biharmonic equations
• The virtual element method for an obstacle problem of a Kirchhoff-Love plate
• Some studies on mathematical models for general elastic multi-structures
• The nonconforming virtual element method for the Navier-Stokes equations
• The nonconforming virtual element method
• Virtual Elements for Linear Elasticity Problems
• Finite element methods for the displacement obstacle problem of clamped plates
• Error Estimates for the Approximation of a Class of Variational Inequalities
• The Primal-Dual Active Set Strategy as a Semismooth Newton Method
• The fully nonconforming virtual element method for biharmonic problems
• A mixed virtual element method for the Navier–Stokes equations
• Virtual Elements for the Navier--Stokes Problem on Polygonal Meshes
• Poincaré–Friedrichs Inequalities for PiecewiseH²Functions
• Conforming and nonconforming virtual element methods for elliptic problems
• A Quadratic $C^0$ Interior Penalty Method for the Displacement Obstacle Problem of Clamped Kirchhoff Plates
• BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
• Nonconforming Virtual Element Method for $2m$th Order Partial Differential Equations in $\mathbb {R}^n$
• Piecewise Divergence-Free Nonconforming Virtual Elements for Stokes Problem in Any Dimensions
• The Hitchhiker's Guide to the Virtual Element Method
• Variational inequalities

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