Jean-Yves L'Excellent

Preprocessing of Sparse Unassembled Linear Systems for Efficient Solution Using Element-by-Element Preconditioners

We believe that these preliminary results indicate that the amalgamation methods considered here hold promise, especially for large, ill-conditioned problems for which direct methods are inappropriate and simple element-by-element pre-conditioners ineffective. However, we must be cautious as our proposals are merely heuristics, and believe that further experimentation is necessary to assess the full potential of the methods.