Analysis of a block Gauss-Seidel iterative method for a finite element discretization of the neutron transport equation
Journal Article
·
· Transp. Theory Stat. Phys.; (United States)
We prove the convergence of a finite element discretization of the neutron transport equation. The iterative solution of the resulting linear system by a block Gauss-Seidel method is also analyzed. This procedure is shown to require less storage than the direct solution by Gaussian elimination, and an estimate for the rate of convergence is used to show that fewer arithmetic operations are required.
- Research Organization:
- Department of Nuclear Engineering, The University of Michigan, Ann Arbor, Michigan 48109
- OSTI ID:
- 5511693
- Journal Information:
- Transp. Theory Stat. Phys.; (United States), Journal Name: Transp. Theory Stat. Phys.; (United States) Vol. 14:1; ISSN TTSPB
- Country of Publication:
- United States
- Language:
- English
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