ILUT
ILUT: A dual threshold incomplete LU factorization. In this paper we describe an Incomplete LU factorization technique based on a strategy which combines two heuristics. This ILUT factorization extends the usual ILU(O) factorization without using the concept of level of fill-in. There are two traditional ways of developing incomplete factorization preconditioners. The first uses a symbolic factorization approach in which a level of fill is attributed to each fill-in element using only the graph of the matrix. Then each fill-in that is introduced is dropped whenever its level of fill exceeds a certain threshold. The second class of methods consists of techniques derived from modifications of a given direct solver by including a dropoff rule, based on the numerical size of the fill-ins introduced, traditionally referred to as threshold preconditioners. The first type of approach may not be reliable for indefinite problems, since it does not consider numerical values. The second is often far more expensive than the standard ILU(O). The strategy we propose is a compromise between these two extremes
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References in zbMATH (referenced in 170 articles , 1 standard article )
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Sorted by year (- Chow, Edmond; Saad, Yousef: ILUS: An incomplete LU preconditioner in sparse skyline format (1997)
- Formaggia, Luca; Scheinine, Alan; Quarteroni, Alfio: A numerical investigation of Schwarz domain decomposition techniques for elliptic problems on unstructured grids (1997)
- Formaggia, Luca; Scheinine, Alan; Quarteroni, Alfio: A numerical investigation of Schwarz domain decomposition techniques for elliptic problems on unstructured grids. (1997) ioport
- Arany, I.: The preconditioned conjugate gradient method with incomplete factorization preconditioners (1996)
- de Sturler, E.: Nested Krylov methods based on GCR (1996)
- van der Ploeg, A.; Botta, E. F. F.; Wubs, F. W.: Nested grids ILU-decomposition (NGILU) (1996)
- Schönauer, Willi; Weiss, Rüdiger: An engineering approach to generalized conjugate gradient methods and beyond (1995)
- Stathopoulos, Andreas; Saad, Yousef; Fischer, Charlotte F.: Robust preconditioning of large, sparse, symmetric eigenvalue problems (1995)
- Dickinson, J. K.; Forsyth, P. A.: Preconditioned conjugate gradient methods for three-dimensional linear elasticity (1994)
- Saad, Yousef: ILUT: A dual threshold incomplete LU factorization (1994)