The Scott-Vogelius Method for Stokes Problem on Anisotropic Meshes
From MaRDI portal
Publication:5074956
zbMath1485.65118arXiv2109.14780MaRDI QIDQ5074956
Michael Neilan, Michael Schneier, Kiera Kean
Publication date: 10 May 2022
Full work available at URL: https://arxiv.org/abs/2109.14780
Navier-Stokes equations for incompressible viscous fluids (76D05) 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)
Related Items (5)
A macro-bubble enriched \(P_1\)-\(P_0\) finite element for the Stokes equations on triangular and tetrahedral meshes ⋮ A note on the shape regularity of Worsey-Farin splits ⋮ A modified rotated-\(Q_1\) finite element for the Stokes equations on quadrilateral and hexahedral meshes ⋮ BDM \(H (\operatorname{div})\) weak Galerkin finite element methods for Stokes equations ⋮ Neilan's divergence‐free finite elements for Stokes equations on tetrahedral grids
Uses Software
Cites Work
- Unnamed Item
- Automated solution of differential equations by the finite element method. The FEniCS book
- On the role of the Helmholtz decomposition in mixed methods for incompressible flows and a new variational crime
- Mixed \(hp\)-FEM on anisotropic meshes. II: Hanging nodes and tensor products of boundary layer meshes
- Towards pressure-robust mixed methods for the incompressible Navier-Stokes equations
- An embedded variable step IMEX scheme for the incompressible Navier-Stokes equations
- A Reynolds-robust preconditioner for the Scott-Vogelius discretization of the stationary incompressible Navier-Stokes equations
- Pressure-robustness and discrete Helmholtz projectors in mixed finite element methods for the incompressible Navier-Stokes equations
- Exact sequences on Powell-Sabin splits
- A note on the importance of mass conservation in long-time stability of Navier-Stokes simulations using finite elements
- The inf-sup condition for low order elements on anisotropic meshes
- Robust Arbitrary Order Mixed Finite Element Methods for the Incompressible Stokes Equations with pressure independent velocity errors
- Stokes Complexes and the Construction of Stable Finite Elements with Pointwise Mass Conservation
- Conforming and divergence-free Stokes elements on general triangular meshes
- Stabilization of High Aspect Ratio Mixed Finite Elements for Incompressible Flow
- Error estimates for Raviart-Thomas interpolation of any order on anisotropic tetrahedra
- IsoGeometric Analysis: Stable elements for the 2D Stokes equation
- Optimal and Pressure-Independent L² Velocity Error Estimates for a Modified Crouzeix-Raviart Stokes Element with BDM Reconstructions
- A robust multilevel approach for minimizing H(div)‐dominated functionals in an H1‐conforming finite element space
- Analysis of Some Finite Elements for the Stokes Problem
- Norm estimates for a maximal right inverse of the divergence operator in spaces of piecewise polynomials
- MIXED hp-FEM ON ANISOTROPIC MESHES
- A new family of stable mixed finite elements for the 3D Stokes equations
- A locally conservative LDG method for the incompressible Navier-Stokes equations
- The Stokes complex: A review of exactly divergence–free finite element pairs for incompressible flows
- Brezzi--Douglas--Marini Interpolation of Any Order on Anisotropic Triangles and Tetrahedra
- A Quasi-optimal Crouzeix--Raviart Discretization of the Stokes Equations
- Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations with Continuous Pressure Finite Elements
- On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows
- Inf-Sup Stable Finite Elements on Barycentric Refinements Producing Divergence--Free Approximations in Arbitrary Dimensions
- The inf-sup stability of the lowest order Taylor–Hood pair on affine anisotropic meshes
- Quasi-optimal and pressure-robust discretizations of the Stokes equations by new augmented Lagrangian formulations
- Crouzeix-Raviart type finite elements on anisotropic meshes
- Finite elements for scalar convection-dominated equations and incompressible flow problems: a never ending story?
This page was built for publication: The Scott-Vogelius Method for Stokes Problem on Anisotropic Meshes
