A simplified two-level method for the steady Navier-Stokes equations
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Publication:2637974
DOI10.1016/j.cma.2007.11.032zbMath1194.76120OpenAlexW2135123656MaRDI QIDQ2637974
Publication date: 14 September 2010
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2007.11.032
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An analysis of a mixed finite element method for the Navier-Stokes equations
- Finite element analysis of incompressible viscous flows by the penalty function formulation
- Two-level method and some a priori estimates in unsteady Navier-Stokes calculations
- Two-level Picard and modified Picard methods for the Navier-Stokes equations
- A two-level discretization method for the Navier-Stokes equations
- Two-level stabilized finite element methods for the steady Navier-Stokes problem
- Multi-level spectral Galerkin method for the Navier-Stokes equations. II: Time discretization
- Multi-level spectral Galerkin method for the Navier-Stokes problem. I: Spatial discretization
- Two-grid finite-element schemes for the transient Navier-Stokes problem
- A Two-Level Method with Backtracking for the Navier--Stokes Equations
- Numerical Solution of the Stationary Navier--Stokes Equations Using a Multilevel Finite Element Method
- A Novel Two-Grid Method for Semilinear Elliptic Equations
- Local Bisection Refinement for N-Simplicial Grids Generated by Reflection
- Two-Level Method Based on Finite Element and Crank-Nicolson Extrapolation for the Time-Dependent Navier-Stokes Equations
- On Preconditioning of Incompressible Non-Newtonian Flow Problems
- Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
- A Multilevel Mesh Independence Principle for the Navier–Stokes Equations
- A posteriori error estimators for a two-level finite element method for the Navier-Stokes equations
- A multilevel finite element method in space‐time for the Navier‐Stokes problem
- Two-grid finite-element schemes for the steady Navier-Stokes problem in polyhedra
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