Approximate inverse techniques for block-partitioned matrices.(English)Zbl 0888.65035

Preconditioning options are proposed for system matrices in block-partitioned form. This form has many applications. For example, the incompressible Navier-Stokes equations may be mentioned as such example. Approximate inverse techniques are used to generate sparse approximate solutions. The storage requirements for these preconditioners may be much less than for incomplete LU factorization preconditioners.

MSC:

 65F10 Iterative numerical methods for linear systems 76D05 Navier-Stokes equations for incompressible viscous fluids 65F50 Computational methods for sparse matrices 65F35 Numerical computation of matrix norms, conditioning, scaling

Software:

ITSOL; FIDAP; BPKit; SPARSKIT
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