References
- Adams, M. L. 2001. Discontinuous finite element transport solutions in thick diffusive problems. Nucl. Sci. Eng. 137 (3):298–333.
- Adams, M. P., M. L. Adams, W. Daryl Hawkins, T. G. Smith, L. Rauchwerger, N. M. Amato, T. S. Bailey, and R. D. Falgout. 2013. Provably optimal parallel transport sweeps on regular grids. In International Conference on Mathematics and Computational Methods Applied to Nuclear Science & Engineering (M&C 2013): Sun Valley, ID.
- Baker, R. S., and K. R. Koch. 1998. An Sn algorithm for the massively parallel CM-200 computer. Nucl. Sci. Eng. 128 (3):312–320.
- Calef, M. T., E. D. Fichtl, J. S. Warsa, M. Berndt, and N. N. Carlson. 2013. Nonlinear Krylov acceleration applied to a discrete ordinates formulation of the k-eigenvalue problem. J. Comput. Phys. 238:188–209.
- Chazan, D., and W. Miranker. 1969. Chaotic relaxation. Linear Algebra Its Appl. 2 (2):199–222.
- Ciarlet, P. G. 2002. The finite element method for elliptic problems. Philadelphia, PA: Society for Industrial and Applied Mathematics.
- Hiromoto, R., B. R. Wienke, and R. G. Brickner. 1992. The performance of asynchronous iteration schemes applied to the linearized boltzmann transport equation. Parallel Comput. 18 (3):241–268.
- Kumar, S., M. Marathe, S. Parthasarathy, A. Srinivasan, and S. Zst. 2006. Provable algorithms for parallel generalized sweep scheduling. J. Parallel Distrib. Comput. 66:807–821.
- Nemanic, M. K., and P. Nowak. 1999. Radiation transport calculations on unstructured grids using a spatially decomposed and threaded algorithm. In Proc. Int. Conf. Mathematics and Computation, Reactor Physics and Environmental Analysis in Nuclear Applications: Madrid, Spain.
- Pautz, S. D. 2002. An algorithm for parallel Sn sweeps on unstructured meshes. Nucl. Sci. Eng. 140 (2):111–136.
- Pautz, S. D., and T. S. Bailey. 2017. Parallel deterministic transport sweeps of structured and unstructured meshes with overloaded mesh decompositions. Nucl. Sci. Eng. 185 (1):70–77.
- Plimpton, S. J., B. Hendrickson, S. P. Burns, W. McLendon, III, and L. Rauchwerger. 2005. Parallel Sn sweeps on unstructured grids: Algorithms for prioritization, grid partitioning, and cycle detection. Nucl. Sci. Eng. 150:267–283.
- Plimpton, S., B. Hendrickson, S. Burns, and W. McLendon. 2000. Parallel algorithms for radiation transport on unstructured grids. In Supercomputing, ACM/IEEE 2000 Conference, pages 25–25, Nov 2000, Dallas, TX.
- Saad, Y. 2003. Iterative methods for sparse linear systems (2nd ed.). Philadelphia, PA: Society for Industrial and Applied Mathematics.
- Strikwerda, J. C. 1997. A convergence theorem for chaotic asynchronous relaxation. Linear Algebra Its Appl. 253 (1):15–24.
- Warburton, T., and J. S. Hesthaven. 2003. On the constants in hp-finite element trace inverse inequalities. Comput. Methods Appl. Mech. Eng. 192 (25):2765–2773.
- Wienke, B. R., and R. E. Hiromoto. 1986. Parallel Sn transport algorithms. Transport Theory Statist. Phys. 15 (1/2):49–59.