NDLI: Preconditioned iterative 3-D finite-difference migration or modeling on MPP system

Content Provider	IEEE Xplore Digital Library
Author	Kao, J. Guangye Li Chao Wu Yang
Copyright Year	1994
Description	Author affiliation: Cray Res. Inc., Eagan, MN, USA (Kao, J.; Guangye Li; Chao Wu Yang)
Abstract	In seismic data processing, the formulation of the three-dimensional one-pass 45/spl deg/ implicit finite-difference migration schemes requires the solution of a huge number of very large pentadiagonal complex linear systems. Most of the effort in using iterative methods to accurately solve the problem was not successful due to the bad condition numbers of the systems. We present a parallel algorithm to solve the large sparse systems iteratively, based on the preconditioned conjugate gradient (PCG) method. First, by reformation of the linear systems and choosing a special preconditioner, the PCG method is effective in solving these linear systems. By using a nonuniform distribution of linear systems among all PEs, a special global summation procedure and a heterogeneous computation technique, the parallel algorithm is quite efficient. Finally, we present some numerical results on both the CRAY-YMP and CRAY-T3D showing the efficiency and effectiveness of the algorithm.
Starting Page	601
Ending Page	606
File Size	539219
Page Count	6
File Format	PDF
ISBN	0818656808
DOI	10.1109/SHPCC.1994.296696
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1994-05-23
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Finite difference methods Linear systems Extrapolation Frequency Difference equations Data processing Iterative methods Chaos Parallel algorithms Concurrent computing
Content Type	Text
Resource Type	Article

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