Some estimates for virtual element methods in three dimensions
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Publication:6157119
DOI10.1515/cmam-2022-0062zbMath1512.65269WikidataQ114053144 ScholiaQ114053144MaRDI QIDQ6157119
Publication date: 19 June 2023
Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)
polyhedral meshesvirtual element methodinverse inequalitynorm equivalenceinterpolation error estimates
Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (1)
Virtual element method for the modified transmission eigenvalue problem in inverse scattering theory
Cites Work
- Equivalent projectors for virtual element methods
- \texttt{PolyMesher}: a general-purpose mesh generator for polygonal elements written in Matlab
- High-order virtual element method on polyhedral meshes
- Some error analysis on virtual element methods
- Serendipity virtual elements for general elliptic equations in three dimensions
- A medius error analysis for nonconforming virtual element methods for Poisson and biharmonic equations
- Some estimates for virtual element methods
- Mimetic finite differences for elliptic problems
- Poincaré--Friedrichs Inequalities for Piecewise H1 Functions
- Virtual element methods on meshes with small edges or faces
- Stability analysis for the virtual element method
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- A Non-Consistent Virtual Element Method for Reaction Diffusion Equations
- The Hitchhiker's Guide to the Virtual Element Method
- The Mathematical Theory of Finite Element Methods
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