A stabilized difference finite element method for the 3D steady Stokes equations

DOI10.1016/j.amc.2022.127270OpenAlexW4281485387WikidataQ114210842 ScholiaQ114210842MaRDI QIDQ2148037

Xinlong Feng, Pengzhan Huang, Xiaoli Lu, Yin-Nian He

Publication date: 21 June 2022

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2022.127270

zbMATH Keywords

finite element pair \((( P_1, P_1, P_1) \times P_1) \times (P_1 \times P_0)\)optimally convergent

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (3)

Difference Finite Element Method for the 3D Steady Navier–Stokes Equations ⋮ A stabilized difference finite element method for the 3D steady incompressible Navier-Stokes equations ⋮ Analysis of the MAC scheme for the three dimensional Stokes problem

Uses Software

• FreeFem++

Cites Work

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• A new local stabilized nonconforming finite element method for the Stokes equations
• A stabilized finite element method based on local polynomial pressure projection for the stationary Navier-Stokes equations
• Supraconvergent cell-centered scheme for two dimensional elliptic problems
• Finite element analysis of incompressible viscous flows by the penalty function formulation
• Stabilized finite element method for the transient Navier-Stokes equations based on a pressure gradient projection
• \(H^1\)-super-convergence of center finite difference method based on \(P_1\)-element for the elliptic equation
• A finite element pressure gradient stabilization for the Stokes equations based on local projections
• Difference finite element method for the 3D steady Stokes equations
• A stabilized finite element method based on two local Gauss integrations for the Stokes equations
• Stabilized finite element method for the stationary Navier-Stokes equations
• Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
• Finite Element Methods for Navier-Stokes Equations
• An Absolutely Stabilized Finite Element Method for the Stokes Problem
• Some Optimal Error Estimates for Piecewise Linear Finite Element Approximations
• Mixed Finite Elements for Elliptic Problems with Tensor Coefficients as Cell-Centered Finite Differences
• Enhanced Cell-Centered Finite Differences for Elliptic Equations on General Geometry
• 𝐻¹-Superconvergence of a difference finite element method based on the 𝑃₁-𝑃₁-conforming element on non-uniform meshes for the 3D Poisson equation
• A Taxonomy of Consistently Stabilized Finite Element Methods for the Stokes Problem
• A stabilized finite element method for the Stokes problem based on polynomial pressure projections
• On Error Estimates of the Penalty Method for Unsteady Navier–Stokes Equations
• New development in freefem++
• A simple pressure stabilization method for the Stokes equation
• H¹-Stability and Convergence of the FE, FV and FD Methods for an Elliptic Equation
• Stabilization of Low-order Mixed Finite Elements for the Stokes Equations
• Finite Element Methods and Their Applications

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