Finite Elements and Fast Iterative Solvers with applications in incompressible fluid dynamics.
The IFISS software can be used to generate typical linear systems arising from finite element discretizations of steady and unsteady diffusion, convection-diffusion, Stokes flow and Navier-Stokes flow problems. It has built-in algebraic 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. An overview of the package can be found in ACM Transactions on Mathematical Software 33:14, 2007. Article 14.
Key features include
- implementation of a variety of mixed finite element approximation methods
- automatic calculation of stabilization parameters where appropriate
- a posteriori error estimation for steady problems
- fully implicit self-adaptive time stepping algorithms
- a range of preconditioned Krylov subspace solvers (including IDR(s) and BICGSTAB(ell))
- a built-in algebraic multigrid solver/preconditioner
- useful visualization tools.
IFISS 3.0 has been tested under Matlab Versions 6.5 to 7.9 and Octave 3.2.3. It can be run under Windows, Unix and Mac architectures. Documentation is available at ifiss_guide_3.0.pdf.