A multilevel finite element method in space‐time for the Navier‐Stokes problem

From MaRDI portal
Publication:5704759

DOI10.1002/num.20077zbMath1081.76044OpenAlexW2131672543MaRDI QIDQ5704759

Yin-Nian He, Kam-Moon Liu

Publication date: 15 November 2005

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20077




Related Items

A two-level finite element method for the Allen–Cahn equationA multilevel decoupling method for the Navier-Stokes/Darcy modelA three-step Oseen correction method for the steady Navier-Stokes equationsAnalysis of multilevel finite volume approximation of 2D convective Cahn-Hilliard equationThe almost unconditional convergence of the Euler implicit/explicit scheme for the three dimensional nonstationary Navier-Stokes equationsTwo-level Newton iterative method for the 2D/3D steady Navier-Stokes equationsThe reduced-order method of continuous space-time finite element scheme for the non-stationary incompressible flowsOn Crank-Nicolson Adams-Bashforth timestepping for approximate deconvolution models in two dimensionsProper orthogonal decomposition reduced-order extrapolation continuous space-time finite element method for the two-dimensional unsteady Stokes equationA simplified two-level method for the steady Navier-Stokes equationsSuperconvergence analysis of a two-grid method for semilinear parabolic equationsA multi-level stabilized finite element method for the stationary Navier-Stokes equationsOn two-level Oseen iterative methods for the 2D/3D steady Navier-Stokes equationsTwo-level Galerkin-Lagrange multipliers method for the stationary Navier-Stokes equationsA two-grid expanded mixed element method for nonlinear non-Fickian flow model in porous mediaParallel finite element variational multiscale algorithms for incompressible flow at high Reynolds numbersA decoupling two-grid method for the time-dependent Poisson-Nernst-Planck equationsA multi-level discontinuous Galerkin method for solving the stationary Navier-Stokes equationsA finite element variational multiscale method based on two-grid discretization for the steady incompressible Navier-Stokes equationsTwo-level Newton's method for nonlinear elliptic PDEsThe Crank-Nicolson/Adams-Bashforth scheme for the Burgers equation with \(H^{2}\) and \(H^{1}\) initial dataAn effective second-order scheme for the nonstationary incompressible magnetohydrodynamics equationsSuperconvergence analysis of a two-grid method for nonlinear hyperbolic equationsEuler implicit/explicit iterative scheme for the stationary Navier-Stokes equationsA rotational velocity-correction projection method for unsteady incompressible magnetohydrodynamics equationsA new two-level defect-correction method for the steady Navier-Stokes equationsNumerical analysis of a Picard multilevel stabilization of mixed finite volume method for the 2D/3D incompressible flow with large dataTwo‐grid method for miscible displacement problem with dispersion by finite element method of characteristicsAn efficient two grid method for miscible displacement problem approximated by mixed finite element methodsParallel two-grid finite element method for the time-dependent natural convection problem with non-smooth initial dataTwo novel decoupling algorithms for the steady Stokes-Darcy model based on two-grid discretizationsSuperconvergence analysis of two-grid methods for bacteria equationsStability and convergence of iterative methods related to viscosities for the 2D/3D steady Navier-Stokes equationsA two-level stabilized nonconforming finite element method for the stationary Navier-Stokes equationsA two-grid finite difference method for the primitive equations of the oceanA multilevel finite element variational multiscale method for incompressible Navier-Stokes equations based on two local Gauss integrationsVector Penalty-Projection Methods for Open Boundary Conditions with Optimal Second-Order AccuracyA multi-grid technique for coupling fluid flow with porous media flowGalerkin and subspace decomposition methods in space and time for the Navier-Stokes equationsTwo-level finite element variational multiscale method based on bubble functions for the steady incompressible MHD flowThe Euler implicit/explicit scheme for the 2D time-dependent Navier-Stokes equations with smooth or non-smooth initial dataError estimate of a fully discrete defect correction finite element method for unsteady incompressible Magnetohydrodynamics equationsSuperconvergent analysis of a nonconforming mixed finite element method for time-dependent damped Navier-Stokes equationsA second-order finite element variational multiscale scheme for the fully discrete unsteady Navier-Stokes equationsSuperconvergence analysis of a two grid finite element method for Ginzburg-Landau equationA subgrid stabilizing postprocessed mixed finite element method for the time-dependent Navier-Stokes equationsAn Oseen-Type Post-Processed Finite Element Method Based on a Subgrid Model for the Time-Dependent Navier–Stokes EquationsA two-level finite element method for the stationary Navier-Stokes equations based on a stabilized local projectionUnconditional superconvergence analysis of a two-grid finite element method for nonlinear wave equationsUnconditional superconvergence of the fully-discrete schemes for nonlinear prey-predator modelNumerical implementation of the Crank-Nicolson/Adams-Bashforth scheme for the time-dependent Navier-Stokes equationsThe Crank-Nicolson/Adams-Bashforth scheme for the time-dependent Navier-Stokes equations with nonsmooth initial dataStabilized finite element method based on the Crank--Nicolson extrapolation scheme for the time-dependent Navier--Stokes equationsUnnamed Item\(H^2\)-stability of the first order fully discrete schemes for the time-dependent Navier-Stokes equationsStability and convergence of two-level iterative methods for the stationary incompressible magnetohydrodynamics with different Reynolds numbersFully discrete finite element method based on second-order Crank-Nicolson/Adams-Bashforth scheme for the equations of motion of Oldroyd fluids of order one



Cites Work