A two-grid method based on Newton iteration for the Navier-Stokes equations
From MaRDI portal
Publication:939560
DOI10.1016/j.cam.2007.09.002zbMath1142.76030OpenAlexW2038339316MaRDI QIDQ939560
Publication date: 22 August 2008
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2007.09.002
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Navier-Stokes equations for incompressible viscous fluids (76D05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element methods applied to problems in fluid mechanics (76M10)
Related Items (37)
An efficient two-level finite element algorithm for the natural convection equations ⋮ A multilevel decoupling method for the Navier-Stokes/Darcy model ⋮ A three-step Oseen correction method for the steady Navier-Stokes equations ⋮ A Newton type linearization based two grid method for coupling fluid flow with porous media flow ⋮ Two-level spline approximations for two-dimensional Navier-Stokes equations ⋮ Two-grid finite element methods for nonlinear time-fractional parabolic equations ⋮ A fully discrete two-grid method for the diffusive Peterlin viscoelastic model ⋮ On a two-grid finite element scheme combined with Crank-Nicolson method for the equations of motion arising in the Kelvin-Voigt model ⋮ The two-grid interpolating element free Galerkin (TG-IEFG) method for solving Rosenau-regularized long wave (RRLW) equation with error analysis ⋮ On three steps two-grid finite element methods for the 2D-transient Navier-Stokes equations ⋮ A three-step stabilized algorithm for the Navier-Stokes type variational inequality ⋮ A three‐step Oseen‐linearized finite element method for incompressible flows with damping ⋮ A new two-grid algorithm based on Newton iteration for the stationary Navier-Stokes equations with damping ⋮ A two-grid spectral method to study of dynamics of dense discrete systems governed by Rosenau-Burgers' equation ⋮ Efficient algorithm based on two-grid method for semiconductor device problem ⋮ A new two-level defect-correction method for the steady Navier-Stokes equations ⋮ On a three step two‐grid finite element method for the Oldroyd model of order one ⋮ Two-level finite element approximation for Oseen viscoelastic fluid flow ⋮ Some multilevel decoupled algorithms for a mixed Navier-Stokes/Darcy model ⋮ A two-grid algorithm based on Newton iteration for the stream function form of the Navier-Stokes equations ⋮ A three-step defect-correction stabilized algorithm for incompressible flows with non-homogeneous Dirichlet boundary conditions ⋮ Error estimate for a simple two-level discretization of stream function form of the Navier-Stokes equations ⋮ Long-time behavior of the two-grid finite element method for fully discrete semilinear evolution equations with positive memory ⋮ Two-grid method for semiconductor device problem by mixed finite element method and characteristics finite element method ⋮ On a two-grid finite element scheme for the equations of motion arising in Kelvin-Voigt model ⋮ A two-grid method with backtracking technique for the stream function form of the Navier-Stokes equations ⋮ Two-Grid Stabilized FEMs Based on Newton Type Linearization for the Steady-State Natural Convection Problem ⋮ A \(p\)-version two level spline method for 2D Navier-Stokes equations ⋮ Three Iterative Finite Element Methods for the Stationary Smagorinsky Model ⋮ Two-grid algorithms for some linear and nonlinear elliptic systems ⋮ A two-grid method for the phase-field model of photonic band gap optimization ⋮ Unnamed Item ⋮ Two-grid economical algorithms for parabolic integro-differential equations with nonlinear memory ⋮ A two-level fully discrete finite element variational multiscale method for the unsteady Navier-Stokes equations ⋮ Shape optimization of Navier-Stokes flows by a two-grid method ⋮ A three-step defect-correction algorithm for incompressible flows with friction boundary conditions ⋮ Two-grid methods for miscible displacement problem by Galerkin methods and mixed finite-element methods
Cites Work
- Unnamed Item
- A two-level discretization method for the Navier-Stokes equations
- On a Galerkin–Lagrange Multiplier Method for the Stationary Navier–Stokes Equations
- Mixed and Hybrid Finite Element Methods
- A Two-Level Method with Backtracking for the Navier--Stokes Equations
- A Novel Two-Grid Method for Semilinear Elliptic Equations
- Local Bisection Refinement for N-Simplicial Grids Generated by Reflection
- Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
- A Multilevel Mesh Independence Principle for the Navier–Stokes Equations
- Equivalent Norms for Sobolev Spaces
- An AIM and one-step Newton method for the Navier-Stokes equations
This page was built for publication: A two-grid method based on Newton iteration for the Navier-Stokes equations
