Conforming virtual element approximations of the two-dimensional Stokes problem
From MaRDI portal
Publication:2165860
DOI10.1016/j.apnum.2022.06.002zbMath1502.65212arXiv2112.14271OpenAlexW4281658927WikidataQ114208079 ScholiaQ114208079MaRDI QIDQ2165860
Gianmarco Manzini, Annamaria Mazzia
Publication date: 23 August 2022
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.14271
error analysisvirtual element methodenhanced formulationincompressible two-dimensional Stokes equation
PDEs in connection with fluid mechanics (35Q35) Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) 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) Finite element methods applied to problems in fluid mechanics (76M10)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- \(H(\mathrm{div})\) and \(H(\mathbf{curl})\)-conforming virtual element methods
- Equivalent projectors for virtual element methods
- A high-order mimetic method on unstructured polyhedral meshes for the diffusion equation
- Virtual element methods for plate bending problems
- Finite element approximation of the Navier-Stokes equations
- Mimetic finite difference method
- A hybrid mortar virtual element method for discrete fracture network simulations
- Mimetic finite difference method for the Stokes problem on polygonal meshes
- A new discretization methodology for diffusion problems on generalized polyhedral meshes
- Sedimentation of inertialess particles in Stokes flows
- The virtual element method for discrete fracture network simulations
- A virtual element method for contact
- Discontinuous skeletal gradient discretisation methods on polytopal meshes
- Some error analysis on virtual element methods
- Application of homogenization theory related to Stokes flow in porous media.
- The virtual element method for eigenvalue problems with potential terms on polytopic meshes.
- Mimetic finite difference methods for diffusion equations on non-orthogonal non-conformal meshes
- SUPG stabilization for the nonconforming virtual element method for advection-diffusion-reaction equations
- Virtual element method for simplified friction problem
- A virtual element approximation for the pseudostress formulation of the Stokes eigenvalue problem
- \(p\)- and \(hp\)-virtual elements for the Stokes problem
- The role of mesh quality and mesh quality indicators in the virtual element method
- VEM and the mesh
- A virtual element generalization on polygonal meshes of the Scott-Vogelius finite element method for the 2-D Stokes problem
- Virtual elements for Maxwell's equations
- Extended virtual element method for the Laplace problem with singularities and discontinuities
- Parallel solvers for virtual element discretizations of elliptic equations in mixed form
- The conforming virtual element method for polyharmonic problems
- The \(p\)- and \(hp\)-versions of the virtual element method for elliptic eigenvalue problems
- The nonconforming virtual element method for a stationary Stokes hemivariational inequality with slip boundary condition
- The virtual element method for general elliptic hemivariational inequalities
- The virtual element method for resistive magnetohydrodynamics
- A pressure-robust virtual element method for the Stokes problem
- Virtual element method for an elliptic hemivariational inequality with applications to contact mechanics
- A posteriori error estimation and adaptivity in \textit{hp} virtual elements
- The Stokes complex for virtual elements with application to Navier-Stokes flows
- A simple construction of a Fortin operator for the two dimensional Taylor-Hood element
- Towards effective flow simulations in realistic discrete fracture networks
- The mimetic finite difference method for elliptic problems
- Virtual Element Method for general second-order elliptic problems on polygonal meshes
- A plane wave virtual element method for the Helmholtz problem
- The nonconforming virtual element method
- The nonconforming virtual element method for plate bending problems
- Virtual Elements for Linear Elasticity Problems
- Basic principles of mixed Virtual Element Methods
- Hourglass stabilization and the virtual element method
- Virtual and smoothed finite elements: A connection and its application to polygonal/polyhedral finite element methods
- Divergence free virtual elements for the stokes problem on polygonal meshes
- Error Analysis for a Mimetic Discretization of the Steady Stokes Problem on Polyhedral Meshes
- An Introduction to the Mathematical Theory of the Navier-Stokes Equations
- A Mimetic Discretization of the Stokes Problem with Selected Edge Bubbles
- Mixed finite element methods for incompressible flow: Stationary Stokes equations
- Convergence Analysis of the Mimetic Finite Difference Method for Elliptic Problems
- Finite Element Methods for Navier-Stokes Equations
- Polynomial Approximation of Functions in Sobolev Spaces
- Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
- New mixed finite element method on polygonal and polyhedral meshes
- The fully nonconforming virtual element method for biharmonic problems
- Ill‐conditioning in the virtual element method: Stabilizations and bases
- Virtual Elements for the Navier--Stokes Problem on Polygonal Meshes
- Conforming and nonconforming virtual element methods for elliptic problems
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- Mixed Finite Element Methods and Applications
- The Stokes complex for Virtual Elements in three dimensions
- Sharper Error Estimates for Virtual Elements and a Bubble-Enriched Version
- M-Adaptation in the mimetic finite difference method
- The nonconforming Virtual Element Method for eigenvalue problems
- Residuala posteriorierror estimation for the Virtual Element Method for elliptic problems
- A virtual element method for the Steklov eigenvalue problem
- CONVERGENCE OF MIMETIC FINITE DIFFERENCE METHOD FOR DIFFUSION PROBLEMS ON POLYHEDRAL MESHES WITH CURVED FACES
- A Stream Virtual Element Formulation of the Stokes Problem on Polygonal Meshes
- The NonConforming Virtual Element Method for the Stokes Equations
- Conforming polygonal finite elements
- A Posteriori Error Estimate for a PDE-Constrained Optimization Formulation for the Flow in DFNs
- Virtual element methods for the obstacle problem
- A tensor artificial viscosity using a mimetic finite differential algorithm
This page was built for publication: Conforming virtual element approximations of the two-dimensional Stokes problem
