Convergence analysis of a class of massively parallel direction splitting algorithms for the Navier-Stokes equations in simple domains
From MaRDI portal
Publication:2839999
DOI10.1090/S0025-5718-2012-02588-9zbMath1307.65145arXiv1101.3587OpenAlexW1991678091MaRDI QIDQ2839999
Abner J. Salgado, Peter D. Minev, Jean-Luc Guermond
Publication date: 17 July 2013
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1101.3587
Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Navier-Stokes equations (35Q30)
Related Items (9)
A fast algorithm for direct simulation of particulate flows using conforming grids ⋮ Practical splitting methods for the adaptive integration of nonlinear evolution equations. II: Comparisons of local error estimation and step-selection strategies for nonlinear Schrödinger and wave equations ⋮ Stability and Error Analysis of a Second-Order Consistent Splitting Scheme for the Navier–Stokes Equations ⋮ Numerical simulation for the conserved Allen-Cahn phase field model of two-phase incompressible flows by an efficient dimension splitting method ⋮ Removing Splitting/Modeling Error in Projection/Penalty Methods for Navier-Stokes Simulations with Continuous Data Assimilation ⋮ A new class of massively parallel direction splitting for the incompressible Navier-Stokes equations ⋮ A direction splitting algorithm for incompressible flow in complex geometries ⋮ An efficient parallel immersed boundary algorithm using a pseudo-compressible fluid solver ⋮ Isogeometric residual minimization (iGRM) for non-stationary Stokes and Navier-Stokes problems
Cites Work
- A new class of massively parallel direction splitting for the incompressible Navier-Stokes equations
- Alternating direction methods for three space variables
- A new class of fractional step techniques for the incompressible Navier-Stokes equations using direction splitting
- A splitting method for incompressible flows with variable density based on a pressure Poisson equation
- Application of a fractional-step method to incompressible Navier-Stokes equations
- Calculation of incompressible viscous flows by an unconditionally stable projection FEM
- Theory and practice of finite elements.
- An overview of projection methods for incompressible flows
- Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II
- A parallel splitting up method and its application to Navier-Stokes equations
- Error Analysis of a Fractional Time-Stepping Technique for Incompressible Flows with Variable Density
- The Numerical Solution of Parabolic and Elliptic Differential Equations
- Parallel Multilevel Preconditioners
- Finite Element Methods for Navier-Stokes Equations
- Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
- A parallel splitting-up method for partial differential equations and its applications to Navier-Stokes equations
- Un résultat de convergence d'ordre deux en temps pour l'approximation des équations de Navier–Stokes par une technique de projection incrémentale
- Stationary Stokes and Navier–Stokes Systems on Two- or Three-Dimensional Domains with Corners. Part I. Linearized Equations
- On the error estimates for the rotational pressure-correction projection methods
- On error estimates of the projection methods for the Navier-Stokes equations: Second-order schemes
- Numerical Solution of the Navier-Stokes Equations
- AN APPROXIMATE PROJECTION SCHEME FOR INCOMPRESSIBLE FLOW USING SPECTRAL ELEMENTS
- On error estimates of some higher order penalty-projection methods for Navier-Stokes equations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Convergence analysis of a class of massively parallel direction splitting algorithms for the Navier-Stokes equations in simple domains