Superconvergent P1 honeycomb virtual elements and lifted P3 solutions

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

$H(\mathrm{div})$ and $H(\mathbf{curl})$-conforming virtual element methods
Supercloseness of the divergence-free finite element solutions on rectangular grids
On superconvergence techniques
A $C^0 P_2$ time-stepping virtual element method for linear wave equations on polygonal meshes
Asymptotic error expansion and Richardson extrapolation for linear finite elements
An interface-fitted mesh generator and virtual element methods for elliptic interface problems
Some error analysis on virtual element methods
Superconvergence for Galerkin methods for the two point boundary problem via local projections
Superconvergence in Galerkin finite element methods
A $P_{k + 2}$ polynomial lifting operator on polygons and polyhedrons
A stabilizer free weak Galerkin finite element method on polytopal mesh. II
A stabilizer free weak Galerkin finite element method on polytopal mesh. III
A stabilizer free WG method for the Stokes equations with order two superconvergence on polytopal mesh
Comparison of standard and stabilization free virtual elements on anisotropic elliptic problems
A medius error analysis for nonconforming virtual element methods for Poisson and biharmonic equations
A pressure-robust virtual element method for the Stokes problem
An adaptive virtual element method for incompressible flow
Virtual element methods for elliptic variational inequalities of the second kind
Superconvergence analysis for finite element solutions by the least-squares surface fitting on irregular meshes for smooth problems
Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
Superconvergence and Reduced Integration in the Finite Element Method
Some Optimal Error Estimates for Piecewise Linear Finite Element Approximations
The superconvergent patch recovery anda posteriori error estimates. Part 2: Error estimates and adaptivity
Higher Order Local Accuracy by Averaging in the Finite Element Method
An Interior Estimate of Superconvergence for Finite Element Solutions for Second-Order Elliptic Problems on Quasi-uniform Meshes by Local Projections
Superconvergence of Ritz‐Galerkin finite element approximations for second order elliptic problems
Superconvergence in Finite Element Methods and Meshes That are Locally Symmetric with Respect to a Point
BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
Nonconforming Virtual Element Method for $2m$th Order Partial Differential Equations in $\mathbb {R}^n$
A Non-Consistent Virtual Element Method for Reaction Diffusion Equations
A Stabilizer-Free, Pressure-Robust, and Superconvergence Weak Galerkin Finite Element Method for the Stokes Equations on Polytopal Mesh
A virtual finite element method for two-dimensional Maxwell interface problems with a background unfitted mesh
Achieving Superconvergence by One-Dimensional Discontinuous Finite Elements: Weak Galerkin Method
Achieving Superconvergence by One-Dimensional Discontinuous Finite Elements: The CDG Method
Constructing Order Two Superconvergent WG Finite Elements on Rectangular Meshes
Four-order superconvergent weak Galerkin methods for the biharmonic equation on triangular meshes
A stabilizer free weak Galerkin finite element method with supercloseness of order two
Two‐order superconvergence for a weak Galerkin method on rectangular and cuboid grids
Immersed virtual element methods for electromagnetic interface problems in three dimensions
Four-order superconvergent CDG finite elements for the biharmonic equation on triangular meshes
Some estimates for virtual element methods in three dimensions
A first-order stabilization-free virtual element method
On the superconvergence of a WG method for the elliptic problem with variable coefficients
Order two superconvergence of the CDG method for the Stokes equations on triangle/tetrahedron

This page was built for publication: Superconvergent P1 honeycomb virtual elements and lifted P3 solutions