An \(\mathrm{H}\)-\(\mathrm{div}\) finite element method for the Stokes equations on polytopal meshes
DOI10.1007/S40314-024-02695-6MaRDI QIDQ6546493
Publication date: 29 May 2024
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- A weak Galerkin finite element scheme for solving the stationary Stokes equations
- Stokes elements on cubic meshes yielding divergence-free approximations
- Supercloseness of the divergence-free finite element solutions on rectangular grids
- A divergence-free finite element method for a type of 3D Maxwell equations
- A lowest order divergence-free finite element on rectangular grids
- Quadratic divergence-free finite elements on Powell--Sabin tetrahedral grids
- A P4 bubble enriched P3 divergence-free finite element on triangular grids
- A stabilizer-free pressure-robust finite element method for the Stokes equations
- A stabilizer free weak Galerkin finite element method on polytopal mesh. III
- A numerical scheme with divergence free \(H\)-\(\operatorname{div}\) triangular finite element for the Stokes equations
- A stabilizer free WG method for the Stokes equations with order two superconvergence on polytopal mesh
- Low-order divergence-free approximations for the Stokes problem on Worsey-Farin and Powell-Sabin splits
- A mixed finite-element method on polytopal mesh
- A weak divergence CDG method for the biharmonic equation on triangular and tetrahedral meshes
- A weak Galerkin-mixed finite element method for the Stokes-Darcy problem
- A lowest-order weak Galerkin finite element method for Stokes flow on polygonal meshes
- A stabilizer-free weak Galerkin finite element method on polytopal meshes
- A note on the optimal degree of the weak gradient of the stabilizer free weak Galerkin finite element method
- A \(C^0\)-conforming DG finite element method for biharmonic equations on triangle/tetrahedron
- Stokes complexes and the construction of stable finite elements with pointwise mass conservation
- Conforming and divergence-free Stokes elements on general triangular meshes
- Conforming and divergence-free Stokes elements in three dimensions
- Minimal degree $H(\mathrm {curl})$ and $H(\mathrm {div})$ conforming finite elements on polytopal meshes
- A New Divergence-Free Interpolation Operator with Applications to the Darcy–Stokes–Brinkman Equations
- Divergence-free finite elements on tetrahedral grids for $k\ge6$
- A weak Galerkin mixed finite element method for second order elliptic problems
- Stability and approximability of the 1–0 element for Stokes equations
- New Finite Element Methods in Computational Fluid Dynamics by H(div) Elements
- A Family of $Q_{k+1,k}\timesQ_{k,k+1}$ Divergence-Free Finite Elements on Rectangular Grids
- A Robust Numerical Method for Stokes Equations Based on Divergence-FreeH(div) Finite Element Methods
- Finite Element Methods for Navier-Stokes Equations
- Norm estimates for a maximal right inverse of the divergence operator in spaces of piecewise polynomials
- Mixed and Hybrid Finite Element Methods
- Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
- Mixedhp-DGFEM for Incompressible Flows
- A new family of stable mixed finite elements for the 3D Stokes equations
- Divergence-free Scott--Vogelius Elements on Curved Domains
- A Stabilizer-Free, Pressure-Robust, and Superconvergence Weak Galerkin Finite Element Method for the Stokes Equations on Polytopal Mesh
- A Stabilizer-Free Weak Galerkin Finite Element Method for the Stokes Equations
- The Scott-Vogelius Method for Stokes Problem on Anisotropic Meshes
- Pressure Robust Weak Galerkin Finite Element Methods for Stokes Problems
- A Stabilizer Free Weak Galerkin Method for the Biharmonic Equation on Polytopal Meshes
- Discrete and conforming smooth de Rham complexes in three dimensions
- Robust Globally Divergence-Free Weak Galerkin Methods for Stokes Equations
- 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
- Four-order superconvergent weak Galerkin methods for the biharmonic equation on triangular meshes
- Neilan's divergence‐free finite elements for Stokes equations on tetrahedral grids
- A macro BDM H-div mixed finite element on polygonal and polyhedral meshes
This page was built for publication: An \(\mathrm{H}\)-\(\mathrm{div}\) finite element method for the Stokes equations on polytopal meshes
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6546493)