Multigrid relaxation methods for systems of saddle point type
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Publication:952802
DOI10.1016/j.apnum.2007.11.014zbMath1148.76040OpenAlexW2089219941MaRDI QIDQ952802
Francisco José Gaspar, Cornelis W. Oosterlee
Publication date: 14 November 2008
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2007.11.014
Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite volume methods applied to problems in fluid mechanics (76M12) Stokes and related (Oseen, etc.) flows (76D07)
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Uses Software
Cites Work
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- An efficient smoother for the Stokes problem
- On the convergence of multi-grid methods with transforming smoothers
- Analysis of a multigrid Stokes solver
- An efficient multigrid solver for a reformulated version of the poroelasticity system
- Block-implicit multigrid solution of Navier-Stokes equations in primitive variables
- Multi-grid methods for Stokes and Navier-Stokes equations. Transforming smoothers: Algorithms and numerical results
- Parallel multigrid solution of the Navier-Stokes equations on general 2D domains
- An adaptive multigrid technique for the incompressible Navier-Stokes equations
- Finite volume methods for two-dimensional incompressible flows with complex boundaries
- Computing flows on general three-dimensional nonsmooth staggered grids
- Comparison of multigrid methods for neutral and stably stratified flows over two-dimensional obstacles
- The use of local mode analysis in the design and comparison of multigrid methods
- Adjoint operators for the natural discretizations of the divergence, gradient and curl on logically rectangular grids
- The effect of inner products for discrete vector fields on the accuracy of mimetic finite difference methods
- High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
- Symmetry-preserving discretization of turbulent flow.
- An efficient multigrid solver based on distributive smoothing for poroelasticity equations
- Staggered grid discretizations for the quasi-static Biot's consolidation problem
- A numerical method for solving incompressible viscous flow problems
- A calculation procedure for heat, mass and momentum transfer in three- dimensional parabolic flows
- Numerical study of the turbulent flow past an airfoil with trailing edge separation
- Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
- A systematic comparison of coupled and distributive smoothing in multigrid for the poroelasticity system
- Numerical solution of saddle point problems
- A Second-Order Accurate Pressure-Correction Scheme for Viscous Incompressible Flow
- On the smoothing properties of the SIMPLE pressure-correction algorithm
- On the Robustness of ILU Smoothing
- A multigrid method for steady incompressible navier-stokes equations based on flux difference splitting
- Multi-Level Adaptive Solutions to Boundary-Value Problems
- A Robust Multigrid Method for a Discretization of the Incompressible Navier-Stokes Equations in General Coordinates
- Multigrid solution of the Navier–Stokes equations on highly stretched grids
- A Multigrid Tutorial, Second Edition
- Accelerated Multigrid Convergence and High-Reynolds Recirculating Flows
- Automated Transformations for PDE Systems with Application to Multigrid Solvers
- On error estimates of the projection methods for the Navier-Stokes equations: Second-order schemes
- Geometric multigrid with applications to computational fluid dynamics
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