\({H^m}\)-Conforming Virtual Elements in Arbitrary Dimension
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Publication:5886216
DOI10.1137/21M1440323OpenAlexW3165847773MaRDI QIDQ5886216
Chun-Yu Chen, Huayi Wei, Xuehai Huang
Publication date: 31 March 2023
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/21m1440323
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 solution of discretized equations for boundary value problems involving PDEs (65N22)
Related Items (7)
A decoupled finite element method for the triharmonic equation ⋮ Virtual element method for the modified transmission eigenvalue problem in inverse scattering theory ⋮ The virtual element method with interior penalty for the fourth-order singular perturbation problem ⋮ The role of stabilization in the virtual element method: a survey ⋮ Analysis of divergence free conforming virtual elements for the Brinkman problem ⋮ A \(C^1\)-conforming arbitrary-order two-dimensional virtual element method for the fourth-order phase-field equation ⋮ Virtual Element Methods Without Extrinsic Stabilization
Uses Software
Cites Work
- Unnamed Item
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- FEALPy
- Equivalent projectors for virtual element methods
- Virtual element methods for plate bending problems
- To the theory of the Dirichlet and Neumann problems for strongly elliptic systems in Lipschitz domains
- Remarks on potential spaces and Besov spaces in a Lipschitz domain and on Whitney arrays on its boundary
- On dimension and existence of local bases for multivariate spline spaces
- The Morley-type virtual element for plate bending problems
- Some error analysis on virtual element methods
- Nonconforming virtual element method for \(2m\)th order partial differential equations in \(\mathbb{R}^n\) with \(m>n\)
- Discrete Hessian complexes in three dimensions
- A \(C^1\) virtual element method on polyhedral meshes
- The conforming virtual element method for polyharmonic problems
- A medius error analysis for nonconforming virtual element methods for Poisson and biharmonic equations
- Virtual enriching operators
- A cubic \(H^3\)-nonconforming finite element
- Some estimates for virtual element methods
- The Morley element for fourth order elliptic equations in any dimensions
- On the Necessity and Sufficiency of the Patch Test for Convergence of Nonconforming Finite Elements
- The nonconforming virtual element method for plate bending problems
- Spline Functions on Triangulations
- Nonconforming finite element spaces for $2m$th order partial differential equations on $\mathbb {R}^n$ simplicial grids when $m=n+1$
- Virtual element methods on meshes with small edges or faces
- Stability analysis for the virtual element method
- The fully nonconforming virtual element method for biharmonic problems
- Poincaré–Friedrichs Inequalities for PiecewiseH2Functions
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- Minimal finite element spaces for $2m$-th-order partial differential equations in $R^n$
- 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
- A review on arbitrarily regular conforming virtual element methods for second- and higher-order elliptic partial differential equations
- Finite Neuron Method and Convergence Analysis
- The Hitchhiker's Guide to the Virtual Element Method
- Exact smooth piecewise polynomial sequences on Alfeld splits
- On Trace Theorems for Sobolev Spaces
- A virtual element method with arbitrary regularity
- The Mathematical Theory of Finite Element Methods
- The minimal conforming $H^k$ finite element spaces on $R^n$ rectangular grids
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