Superconvergence error estimate of the bilinear-constant scheme for the Stokes equations with damping

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Cites Work

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Low order nonconforming mixed finite element method for nonstationary incompressible Navier-Stokes equations
Two mixed finite element methods for time-fractional diffusion equations
Extrapolation and superconvergence of the Steklov eigenvalue problem
Stabilized low order finite elements for Stokes equations with damping
Weak and strong solutions for the incompressible Navier-Stokes equations with damping
Extrapolation of the Nédélec element for the Maxwell equations by the mixed finite element method
Superconvergence analysis of the nonconforming quadrilateral linear-constant scheme for Stokes equations
Existence of global weak solutions for a 2D viscous shallow water equations and convergence to the quasi-geostrophic model
MAC finite difference scheme for Stokes equations with damping on non-uniform grids
Superconvergence analysis of high-order rectangular edge elements for time-harmonic Maxwell's equations
Superconvergence analysis for linear tetrahedral edge elements
Unconditional superconvergence analysis of a Crank-Nicolson Galerkin FEM for nonlinear Schrödinger equation
Superclose and superconvergence of finite element discretizations for the Stokes equations with damping
A superconvergent nonconforming mixed finite element method for the Navier-Stokes equations
Finite Element Methods for Navier-Stokes Equations
Global Superconvergence for the Bilinear-Constant Scheme for the Stokes Problem
Superconvergent estimates of conforming finite element method for nonlinear time‐dependent Joule heating equations
Superconvergence and extrapolation of non-conforming low order finite elements applied to the Poisson equation
On Some Compressible Fluid Models: Korteweg, Lubrication, and Shallow Water Systems
Superconvergence analysis of finite element method for Poisson–Nernst–Planck equations
The Mathematical Theory of Finite Element Methods

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