On the \({H}^1\) conforming virtual element method for time dependent Stokes equation
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Publication:2035611
DOI10.1007/s11786-020-00473-1zbMath1490.65187OpenAlexW3014329546MaRDI QIDQ2035611
Sundararajan Natarajan, Dibyendu Adak
Publication date: 25 June 2021
Published in: Mathematics in Computer Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11786-020-00473-1
Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items (4)
A virtual element discretization for the time dependent Navier–Stokes equations in stream-function formulation ⋮ On the convergence of a low order Lagrange finite element approach for natural convection problems ⋮ Error estimates of conforming virtual element methods with a modified symmetric Nitsche's formula for 2D semilinear parabolic equations ⋮ A local projection stabilization virtual element method for convection-diffusion-reaction equation
Cites Work
- Unnamed Item
- Equivalent projectors for virtual element methods
- Virtual element methods for plate bending problems
- Mimetic finite difference method
- A new stabilized finite element method for the transient Navier-Stokes equations
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- A relationship between stabilized finite element methods and the Galerkin method with bubble functions
- A numerical solution of the Navier-Stokes equations using the finite element technique
- Virtual element methods for hyperbolic problems on polygonal meshes
- Virtual element method for semilinear elliptic problems on polygonal meshes
- Order preserving SUPG stabilization for the virtual element formulation of advection-diffusion problems
- Convergence analyses of Galerkin least-squares methods for symmetric advective-diffusive forms of the Stokes and incompressible Navier-Stokes equations
- A stabilized finite element method based on two local Gauss integrations for the Stokes equations
- A virtual element method for elastic and inelastic problems on polytope meshes
- Virtual Element Method for general second-order elliptic problems on polygonal meshes
- Virtual Elements for Linear Elasticity Problems
- Divergence free virtual elements for the stokes problem on polygonal meshes
- Stabilized finite element method based on the Crank--Nicolson extrapolation scheme for the time-dependent Navier--Stokes equations
- Virtual element methods for parabolic problems on polygonal meshes
- Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
- New stabilized finite element method for time-dependent incompressible flow problems
- Finite Element Approximation of the Nonstationary Navier–Stokes Problem III. Smoothing Property and Higher Order Error Estimates for Spatial Discretization
- An Absolutely Stabilized Finite Element Method for the Stokes Problem
- Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
- An H1-conforming virtual element for Darcy and Brinkman equations
- Conforming and nonconforming virtual element methods for elliptic problems
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- Mixed Finite Element Methods and Applications
- Convergence analysis of virtual element methods for semilinear parabolic problems on polygonal meshes
- A Stream Virtual Element Formulation of the Stokes Problem on Polygonal Meshes
- Stabilization of Low-order Mixed Finite Elements for the Stokes Equations
- The NonConforming Virtual Element Method for the Stokes Equations
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