Development of pressure-robust discontinuous Galerkin finite element methods for the Stokes problem
DOI10.1007/s10915-021-01634-5zbMath1490.65284OpenAlexW3199442144MaRDI QIDQ1983179
Shangyou Zhang, Lin Mu, Xiu Ye
Publication date: 15 September 2021
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-021-01634-5
finite element methodsStokes equationsdiscontinuous Galerkinoptimal rate in convergencepressure-robustness
Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Variational methods for elliptic systems (35J50) A priori estimates in context of PDEs (35B45)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the parameter choice in grad-div stabilization for the Stokes equations
- A modified weak Galerkin finite element method for the Stokes equations
- Grad-div stabilization and subgrid pressure models for the incompressible Navier-Stokes equations
- On the role of the Helmholtz decomposition in mixed methods for incompressible flows and a new variational crime
- A numerical solution of the Navier-Stokes equations using the finite element technique
- Discontinuous Galerkin methods for incompressible and nearly incompressible elasticity by Nitsche's method
- A divergence-free velocity reconstruction for incompressible flows
- A note on the optimal degree of the weak gradient of the stabilizer free weak Galerkin finite element method
- Convergence analysis of triangular MAC schemes for two dimensional Stokes equations
- Mixed finite elements, compatibility conditions, and applications. Lectures given at the C.I.M.E. summer school, Cetraro, Italy, June 26--July 1, 2006
- A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations
- 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
- Divergence-free finite elements on tetrahedral grids for $k\ge6$
- A weak Galerkin mixed finite element method for second order elliptic problems
- Optimal and Pressure-Independent L² Velocity Error Estimates for a Modified Crouzeix-Raviart Stokes Element with BDM Reconstructions
- Stability of Higher-Order Hood–Taylor Methods
- New Finite Element Methods in Computational Fluid Dynamics by H(div) Elements
- Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
- Finite Element Methods for Navier-Stokes Equations
- Norm estimates for a maximal right inverse of the divergence operator in spaces of piecewise polynomials
- Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
- Polynomial robust stability analysis for $H$(div)-conforming finite elements for the Stokes equations
- A locally conservative LDG method for the incompressible Navier-Stokes equations
- Grad-div stablilization for Stokes equations
- A Stabilizer-Free, Pressure-Robust, and Superconvergence Weak Galerkin Finite Element Method for the Stokes Equations on Polytopal Mesh
- Pressure Robust Weak Galerkin Finite Element Methods for Stokes Problems
- On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows
This page was built for publication: Development of pressure-robust discontinuous Galerkin finite element methods for the Stokes problem
