System Preprocessors
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A preconditioner need not be derived from the coefficient matrix. For instance, in the case of a higher order finite element matrix, incomplete factorization preconditioner are better derived from a linear element discretization of the same problem, since this matrix will be an M-matrix.
This preprocessor can perform the following approximations:
[GUS] @article{Gu:modified_element, author = {Ivar Gustafsson}, title = {An Incomplete Factorization Preconditioning Method based on Modification of Element Matrices}, journal = {BIT}, year = {1996}, volume = {36}, pages = {86--100} }