Block-preconditioned conjugate-gradient-like methods for numerical reservoir simulation

Journal Article · Sun Jan 31 23:00:00 EST 1988 · SPE (Society of Petroleum Engineers) Reserv. Eng.; (United States)

DOI:https://doi.org/10.2118/13534-PA· OSTI ID:5409896

Eisenstat, S C; Elman, H C; Schultz, M H

The authors describe a collection of block preconditioners for use in solving large, sparse, linear systems of equations by iterative methods, and they compare their performance with several point preconditioners in solving some systems arising in numerical reservoir simulation. They consider block preconditioners that handle either lines or planes in an implicit manner and pointwise incomplete LU (ILU) factorizations combined with partial elimination preprocessors. The authors conclude that the best of the pointwise methods are both more robust and faster, but that the best of the block methods are competitive for certain orderings of unknowns and require less storage.

• Research Organization: Research Center for Scientific Computation at Yale Univ. (US)
• OSTI ID: 5409896
• Journal Information: SPE (Society of Petroleum Engineers) Reserv. Eng.; (United States), Journal Name: SPE (Society of Petroleum Engineers) Reserv. Eng.; (United States) Vol. 3:1; ISSN SREEE
• Country of Publication: United States
• Language: English

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