Lowest order virtual element approximations for transient Stokes problem on polygonal meshes
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Publication:2059720
DOI10.1007/s10092-021-00440-7zbMath1479.65011OpenAlexW3210256976WikidataQ114228531 ScholiaQ114228531MaRDI QIDQ2059720
Publication date: 14 December 2021
Published in: Calcolo (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10092-021-00440-7
convergence analysisnumerical experimentsStokes equationmixed formulationsinf-sup conditionslowest order schemevirtual element approximations
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 difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items (5)
VIRTUAL ELEMENT APPROXIMATIONS FOR TWO SPECIES MODEL OF THE ADVECTION-DIFFUSION-REACTION IN POROELASTIC MEDIA ⋮ Virtual element methods for general linear elliptic interface problems on polygonal meshes with small edges ⋮ Mixed virtual element methods for optimal control of Darcy flow ⋮ A new class of stabilized virtual element methods for the time-dependent Oseen equations ⋮ A fully-discrete virtual element method for the nonstationary Boussinesq equations in stream-function form
Cites Work
- Unnamed Item
- Equivalent projectors for virtual element methods
- Low order nonconforming mixed finite element method for nonstationary incompressible Navier-Stokes equations
- \texttt{PolyMesher}: a general-purpose mesh generator for polygonal elements written in Matlab
- A finite volume method for solving Navier-Stokes problems
- On inf--sup stabilized finite element methods for transient problems
- A posteriori error estimates for fully discrete schemes for the time dependent Stokes problem
- A new stabilized finite element method for the transient Navier-Stokes equations
- Equal order discontinuous finite volume element methods for the Stokes problem
- A penalty finite volume method for the transient Navier-Stokes equations
- Error estimate of the \(P_1\) nonconforming finite element method for the penalized unsteady Navier-Stokes equations
- Stabilized virtual element methods for the unsteady incompressible Navier-Stokes equations
- Virtual element methods for the three-field formulation of time-dependent linear poroelasticity
- Stability analysis for a new model of multi-species convection-diffusion-reaction in poroelastic tissue
- The Stokes complex for virtual elements with application to Navier-Stokes flows
- New nonconforming finite element method for solving transient Navier-Stokes equations
- The nonconforming virtual element method for the Navier-Stokes equations
- Continuous interior penalty finite element method for the time-dependent Navier-Stokes equations: space discretization and convergence
- Virtual Element Method for general second-order elliptic problems on polygonal meshes
- Virtual Elements for Linear Elasticity Problems
- Error analysis of a fully discrete finite element variational multiscale method for time-dependent incompressible Navier-Stokes equations
- 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
- 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
- A Conforming Finite Element Method for the Time-Dependent Navier–Stokes Equations
- Finite Element Methods for Navier-Stokes Equations
- Finite Element Approximation of the Nonstationary Navier–Stokes Problem, Part II: Stability of Solutions and Error Estimates Uniform in Time
- Finite Element Approximation of the Nonstationary Navier–Stokes Problem III. Smoothing Property and Higher Order Error Estimates for Spatial Discretization
- Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
- Mixed and Hybrid Finite Element Methods
- A fully discrete stabilized finite-element method for the time-dependent Navier-Stokes problem
- Approximation of the global attractor for the incompressible Navier-Stokes equations
- An H1-conforming virtual element for Darcy and Brinkman equations
- On Really Locking-Free Mixed Finite Element Methods for the Transient Incompressible Stokes Equations
- A mixed virtual element method for the Navier–Stokes equations
- Virtual Elements for the Navier--Stokes Problem on Polygonal Meshes
- Low‐order stabilized finite element methods for the unsteady Stokes/Navier‐Stokes equations with friction boundary conditions
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- Convergence analysis of virtual element methods for semilinear parabolic problems on polygonal meshes
- Divergence-preserving reconstructions on polygons and a really pressure-robust virtual element method for the Stokes problem
- A stabilized finite element method for transient Navier–Stokes equations based on two local Gauss integrations
- A Stream Virtual Element Formulation of the Stokes Problem on Polygonal Meshes
- The Mathematical Theory of Finite Element Methods
- Stabilization of Low-order Mixed Finite Elements for the Stokes Equations
- Galerkin Finite Element Methods for Parabolic Problems
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