IFISS Software Package

IFISS Software Package
This is an open-source MATLAB software package associated with the book
Finite Elements and Fast Iterative Solvers with applications in incompressible fluid dynamics
by Howard C. Elman, David J. Silvester, and Andrew J. Wathen, published by Oxford University Press.
See the publisher's web pages (UK Edition) / (US Edition) for additional information about the book.

The IFISS software can be used to generate typical linear systems arising from finite element discretizations of four important PDE applications: diffusion, convection-diffusion, Stokes flow and Navier-Stokes flow problems. It has built-in multigrid and Krylov subspace solvers and includes a variety of appropriate preconditioning strategies for each problem. We have used early versions of the software to support technical workshops we have given in the last decade on fast solvers for incompressible flow problems.

Key features include

• implementation of a variety of mixed finite element approximation methods
• automatic calculation of stabilization parameters where appropriate
• a posteriori error estimation
• a range of preconditioned Krylov subspace solvers (including MINRES and BICGSTAB(ell))
• a built-in geometric multigrid solver/preconditioner
• an interface to the algebraic multigrid solver of FEMLAB (see http://www.comsol.com/ )
• useful visualization tools.

IFISS has been tested under Matlab Versions 5.3 to 7.0 and can be run under Windows, Unix and Mac architectures. Documentation is available at ifiss_guide.pdf.