Nonlinear Galerkin methods and mixed finite elements: Two-grid algorithms for the Navier-Stokes equations

From MaRDI portal
Publication:1338799

DOI10.1007/s002110050056zbMath0811.76035OpenAlexW1970723296MaRDI QIDQ1338799

Ali Ait Ou Ammi, Martine Marion

Publication date: 3 May 1995

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002110050056



Related Items

An efficient two-step algorithm for the incompressible flow problem, Iterative penalty methods for the steady Navier-Stokes equations, The almost unconditional convergence of the Euler implicit/explicit scheme for the three dimensional nonstationary Navier-Stokes equations, Tangent space correction method for the Galerkin approximation based on two-grid finite element, A two-level sparse grid collocation method for semilinear stochastic elliptic equation, A second order accuracy for a full discretized time-dependent Navier-Stokes equations by a two-grid scheme, A postprocessing mixed finite element method for the Navier–Stokes equations, Analysis of three stabilized finite volume iterative methods for the steady Navier–Stokes equations, A pressure-Poisson stabilized finite element method for the non-stationary Stokes equations to circumvent the inf-sup condition, Crank-Nicolson extrapolation and finite element method for the Oldroyd fluid with the midpoint rule, Convergence analysis of a fully discrete finite element method for thermally coupled incompressible MHD problems with temperature-dependent coefficients, A least squares Galerkin-Petrov nonconforming mixed finite element method for the stationary conduction-convection problem, Finite element methods for the viscous incompressible fluid, Nonlinear Galerkin finite element method applied to the system of reaction-diffusion equations in one space dimension, On three steps two-grid finite element methods for the 2D-transient Navier-Stokes equations, Unnamed Item, A new nonlinear Galerkin finite element method for the computation of reaction diffusion equations, Error estimates of \textbf{H}(div)-conforming method for nonstationary magnetohydrodynamic system, A posteriori error estimate of MacCormack rapid solver method for two-dimensional incompressible Navier-Stokes problems, Optimal error estimates of a SAV-FEM for the Cahn-Hilliard-Navier-Stokes model, A nonlinear Galerkin mixed element method and a posteriori error estimator for the stationary Navier-Stokes equations, Decoupled and linearized scalar auxiliary variable finite element method for the time‐dependent incompressible magnetohydrodynamic equations: Unconditional stability and convergence analysis, An effective second-order scheme for the nonstationary incompressible magnetohydrodynamics equations, Convergence analysis of Crank-Nicolson extrapolated fully discrete scheme for thermally coupled incompressible magnetohydrodynamic system, An improved Arrow-Hurwicz method for the steady-state Navier-Stokes equations, Nonlinear Galerkin method for the exterior nonstationary Navier-Stokes equations, Two-level pressure projection finite element methods for Navier-Stokes equations with nonlinear slip boundary conditions, Local and parallel finite element algorithm based on the partition of unity for incompressible flows, Unconditional Convergence and Error Estimates of a Fully Discrete Finite Element Method for the Micropolar Navier-Stokes Equations, Parallel two-grid finite element method for the time-dependent natural convection problem with non-smooth initial data, Optimal error bounds for two-grid schemes applied to the Navier-Stokes equations, Convergence of three iterative methods based on the finite element discretization for the stationary Navier-Stokes equations, The coupling of boundary integral and finite element methods for the exterior steady Oseen problem, Two-level defect-correction stabilized finite element method for Navier-Stokes equations with friction boundary conditions, Unnamed Item, An efficient two-step algorithm for the stationary incompressible magnetohydrodynamic equations, Two-grid Arrow-Hurwicz methods for the steady incompressible Navier-Stokes equations, The Euler implicit/explicit FEM for the Kelvin-Voigt model based on the scalar auxiliary variable (SAV) approach, A TWO-LEVEL DEFECT–CORRECTION METHOD FOR NAVIER–STOKES EQUATIONS, A penalty finite volume method for the transient Navier-Stokes equations, Stabilized finite element method for the stationary Navier-Stokes equations, A two-level finite element method for the Navier-Stokes equations based on a new projection, An expandable local and parallel two-grid finite element scheme, Two-level stabilized finite element methods for the steady Navier-Stokes problem, Local and parallel finite element post-processing scheme for the Stokes problem, A penalty finite element method based on the Euler implicit/explicit scheme for the time-dependent Navier-Stokes equations, Two-grid finite-element schemes for the transient Navier-Stokes problem, The Euler implicit/explicit scheme for the 2D time-dependent Navier-Stokes equations with smooth or non-smooth initial data, Two-level stabilized finite element method for the transient Navier–Stokes equations, Long time unconditional stability of a two-level hybrid method for nonstationary incompressible Navier-Stokes equations, A two-level stochastic collocation method for semilinear elliptic equations with random coefficients, A new second-order nonconforming mixed finite element scheme for the stationary Stokes and Navier-Stokes equations, Second-order convergence of the linearly extrapolated Crank-Nicolson method for the Navier-Stokes equations with \(H^1\) initial data, Unconditional stability and optimal error estimates of Euler implicit/explicit-SAV scheme for the Navier-Stokes equations, Finite element approximation for the viscoelastic fluid motion problem, A two-grid technique for the penalty method of the steady navier-stokes equations, Unconditional convergence and optimal \(L^2\) error estimates of the Crank-Nicolson extrapolation FEM for the nonstationary Navier-Stokes equations, Nonconforming mixed finite element approximation to the stationary Navier-Stokes equations on anisotropic meshes, Nonlinear Galerkin mixed element methods for stationary incompressible magnetohydrodynamics, Numerical implementation of the Crank-Nicolson/Adams-Bashforth scheme for the time-dependent Navier-Stokes equations, The Crank-Nicolson/Adams-Bashforth scheme for the time-dependent Navier-Stokes equations with nonsmooth initial data, Stabilized finite element method based on the Crank--Nicolson extrapolation scheme for the time-dependent Navier--Stokes equations, Two-level method and some a priori estimates in unsteady Navier-Stokes calculations, A two-level method in space and time for the Navier-Stokes equations, New SAV-pressure correction methods for the Navier-Stokes equations: stability and error analysis, Stability of Galerkin and inertial algorithms with variable time step size, A nonlinear Galerkin/Petrov-least squares mixed element method for the stationary Navier-Stokes equations., An approximate inertial manifolds approach to postprocessing the Galerkin method for the Navier-Stokes equations, Iterative methods in penalty finite element discretizations for the Steady Navier–Stokes equations, Stabilized finite element approximation of transient incompressible flows using orthogonal subscales, Fully discrete finite element method based on second-order Crank-Nicolson/Adams-Bashforth scheme for the equations of motion of Oldroyd fluids of order one