Efficient preconditioning of the linearized Navier—Stokes equations for incompressible flow

Authors:
David Silvester;Howard Elman;David Kay;Andrew Wathen
Affiliations:
-;-;-;-
Venue:
Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. VII: partial differential equations
Year:
2001

Citing 0
Cited 20

Preconditioners for saddle point problems arising in computational fluid dynamics

Applied Numerical Mathematics
A parallel block multi-level preconditioner for the 3D incompressible Navier--Stokes equations

Journal of Computational Physics
A parallel solver for PDE systems and application to the incompressible Navier-Stokes equations

Applied Numerical Mathematics - Numerical algorithms, parallelism and applications
An overview of the Trilinos project

ACM Transactions on Mathematical Software (TOMS) - Special issue on the Advanced CompuTational Software (ACTS) Collection
Preconditioning Strategies for Models of Incompressible Flow

Journal of Scientific Computing
Algorithm 866: IFISS, a Matlab toolbox for modelling incompressible flow

ACM Transactions on Mathematical Software (TOMS)
A taxonomy and comparison of parallel block multi-level preconditioners for the incompressible Navier-Stokes equations

Journal of Computational Physics
Mixed Constraint Preconditioners for the iterative solution of FE coupled consolidation equations

Journal of Computational Physics
FGMRES preconditioning by symmetric/skew-symmetric decomposition of generalized stokes problems

Mathematics and Computers in Simulation
Eigenvalue bounds for the Schur complement with a pressure convection-diffusion preconditioner in incompressible flow computations

Journal of Computational and Applied Mathematics
An accurate and efficient method for the incompressible Navier-Stokes equations using the projection method as a preconditioner

Journal of Computational Physics
A non-conforming monolithic finite element method for problems of coupled mechanics

Journal of Computational Physics
Saddle point preconditioners for linearized Navier-Stokes equations discretized by a finite volume method

Applied Numerical Mathematics
Adaptive Time-Stepping for Incompressible Flow Part II: Navier-Stokes Equations

SIAM Journal on Scientific Computing
An Efficient Numerical Method for the Solution of the $L_2$ Optimal Mass Transfer Problem

SIAM Journal on Scientific Computing
A Preconditioner for the Finite Element Approximation to the Arbitrary Lagrangian-Eulerian Navier-Stokes Equations

SIAM Journal on Scientific Computing
On HSS-based constraint preconditioners for generalized saddle-point problems

Numerical Algorithms
Development of a Stokes flow solver robust to large viscosity jumps using a Schur complement approach with mixed precision arithmetic

Journal of Computational Physics
A scale space method for volume preserving image registration

Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
Efficient Numerical Methods for an Anisotropic, Nonisothermal, Two-Phase Transport Model of Proton Exchange Membrane Fuel Cell

Acta Applicandae Mathematicae: an international survey journal on applying mathematics and mathematical applications

Quantified Score

Hi-index	0.03

Visualization

Abstract