Optimal error bounds for two-grid schemes applied to the Navier-Stokes equations
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Publication:434661
DOI10.1016/j.amc.2011.12.051zbMath1426.76244arXiv1011.2880OpenAlexW1965946515MaRDI QIDQ434661
Julia Novo, Bosco García-Archilla, Javier de Frutos
Publication date: 16 July 2012
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1011.2880
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
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Cites Work
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- A second order accuracy for a full discretized time-dependent Navier-Stokes equations by a two-grid scheme
- Investigations on two kinds of two-level stabilized finite element methods for the stationary Navier-Stokes equations
- A two-level finite element method for the Navier-Stokes equations based on a new projection
- A numerical solution of the Navier-Stokes equations using the finite element technique
- Two-level method and some a priori estimates in unsteady Navier-Stokes calculations
- Nonlinear Galerkin methods and mixed finite elements: Two-grid algorithms for the Navier-Stokes equations
- A postprocessed Galerkin method with Chebyshev or Legendre polynomials
- Two-level Picard and modified Picard methods for the Navier-Stokes equations
- On the Navier-Stokes initial value problem. I
- Two-grid finite-element schemes for the transient Navier-Stokes problem
- Stability of Higher-Order Hood–Taylor Methods
- Improving the accuracy of the mini-element approximation to Navier–Stokes equations
- Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
- Postprocessing Fourier Galerkin Method for the Navier–Stokes Equations
- The Postprocessed Mixed Finite-Element Method for the Navier–Stokes Equations: Refined Error Bounds
- Finite Element Approximation of the Nonstationary Navier–Stokes Problem III. Smoothing Property and Higher Order Error Estimates for Spatial Discretization
- Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
- Mixed and Hybrid Finite Element Methods
- A Two-Level Method with Backtracking for the Navier--Stokes Equations
- An approximate inertial manifolds approach to postprocessing the Galerkin method for the Navier-Stokes equations
- A Novel Two-Grid Method for Semilinear Elliptic Equations
- Postprocessing the Galerkin Method: a Novel Approach to Approximate Inertial Manifolds
- The Postprocessing Galerkin and Nonlinear Galerkin Methods---A Truncation Analysis Point of View
- Two-Level Method Based on Finite Element and Crank-Nicolson Extrapolation for the Time-Dependent Navier-Stokes Equations
- A Spectral Element Method for the Navier--Stokes Equations with Improved Accuracy
- REGULARITY CONSTANTS OF THE STOKES PROBLEM: APPLICATION TO FINITE-ELEMENT METHODS ON CURVED DOMAINS
- Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
- Nonlinear Galerkin Methods
- Postprocessing the Linear Finite Element Method
- On the Rate of Convergence of the Nonlinear Galerkin Methods
- Postprocessing Finite-Element Methods for the Navier–Stokes Equations: The Fully Discrete Case
- A full discretization of the time-dependent Navier-Stokes equations by a two-grid scheme
- The Postprocessed Mixed Finite-Element Method for the Navier--Stokes Equations
