GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
SIAM Journal on Scientific and Statistical Computing
Mixed and hybrid finite element methods
Mixed and hybrid finite element methods
Fast iterative solution of stabilised Stokes systems, part I: using simple diagonal preconditioners
SIAM Journal on Numerical Analysis
Fast iterative solution of stabilised Stokes systems part II: using general block preconditioners
SIAM Journal on Numerical Analysis
Iterative solution methods
A Posteriori Error Estimators for the Stokes and Oseen Equations
SIAM Journal on Numerical Analysis
Iterative methods for solving linear systems
Iterative methods for solving linear systems
Preconditioning for the Steady-State Navier--Stokes Equations with Low Viscosity
SIAM Journal on Scientific Computing
A Posteriori Error Estimation for Stabilized Mixed Approximations of the Stokes Equations
SIAM Journal on Scientific Computing
A multigrid tutorial: second edition
A multigrid tutorial: second edition
Efficient preconditioning of the linearized Navier—Stokes equations for incompressible flow
Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. VII: partial differential equations
Multigrid
Finite Element Method for Elliptic Problems
Finite Element Method for Elliptic Problems
A Preconditioner for the Steady-State Navier--Stokes Equations
SIAM Journal on Scientific Computing
An Analysis of Smoothing Effects of Upwinding Strategies for the Convection-Diffusion Equation
SIAM Journal on Numerical Analysis
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
Preconditioning and convergence in the right norm
International Journal of Computer Mathematics - Fast Iterative and Preconditioning Methods for Linear and Non-Linear Systems
An alternating preconditioner for saddle point problems
Journal of Computational and Applied Mathematics
A dimensional split preconditioner for Stokes and linearized Navier-Stokes equations
Applied Numerical Mathematics
An Optimal Iterative Solver for Symmetric Indefinite Systems Stemming from Mixed Approximation
ACM Transactions on Mathematical Software (TOMS)
SIAM Journal on Matrix Analysis and Applications
Preconditioning Saddle-Point Systems with Applications in Optimization
SIAM Journal on Scientific Computing
A Relaxed Dimensional Factorization preconditioner for the incompressible Navier-Stokes equations
Journal of Computational Physics
Algorithm 913: An elegant IDR(s) variant that efficiently exploits biorthogonality properties
ACM Transactions on Mathematical Software (TOMS)
SIAM Journal on Scientific Computing
A simple yet effective a posteriori estimator for classical mixed approximation of Stokes equations
Applied Numerical Mathematics
Substructure preconditioners for a class of structured linear systems of equations
Mathematical and Computer Modelling: An International Journal
Preconditioned AHSS iteration method for singular saddle point problems
Numerical Algorithms
On generalized parameterized inexact Uzawa method for a block two-by-two linear system
Journal of Computational and Applied Mathematics
A parallel implementation of Davidson methods for large-scale eigenvalue problems in SLEPc
ACM Transactions on Mathematical Software (TOMS)
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IFISS is a graphical Matlab package for the interactive numerical study of incompressible flow problems. It includes algorithms for discretization by mixed finite element methods and a posteriori error estimation of the computed solutions. The package can also be used as a computational laboratory for experimenting with state-of-the-art preconditioned iterative solvers for the discrete linear equation systems that arise in incompressible flow modelling. A unique feature of the package is its comprehensive nature; for each problem addressed, it enables the study of both discretization and iterative solution algorithms as well as the interaction between the two and the resulting effect on overall efficiency.