Istituto di Matematica Applicata e Tecnologie Informatiche     
Arioli M., Manzini G. Null space algorithm and spanning trees in solving Darcy's equation. Preprint ercim.cnr.ian//2002-1312, 2002.
A Null Space algorithm is considered to solve the augmented system produced by the mixed finite element approximation of Darcy's Law. The method is based on the combination of a emph{LU} factorization technique for sparse matrices with an iterative Krylov solver. The computational efficiency of the method relies on the use of spanning trees to compute the emph{LU} factorization without fill-in and on a suitable stopping criterion for the iterative solver. We experimentally investigate its performance on a realistic set of selected application problems.
Subject Augmented Systems, Sparse Matrices, Mixed Finite Elements

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