that can be realized with new formulations, algorithms, and implementations. Significant work lies ahead to extend these and other ideas to the entire spectrum of computations underlying simulation-based seismic hazard and risk assessment.

Acknowledgments

Figure 1 is the work of James Martin; Table 1 is the work of Carsten Burstedde, Georg Stadler, and Lucas Wilcox; and Table 2 is the work of Tim Warburton and Lucas Wilcox. This work was supported by AFOSR grant FA9550-09-1-0608, NSF grants 0619078, 0724746, 0749334, and 1028889, and DOE grants DEFC02-06ER25782 and DE-FG02-08ER25860.

References

Akçelik, V., J. Bielak, G. Biros, I. Epanomeritakis, A. Fernandez, O. Ghattas, E. J. Kim, J. Lopez, D. R. O’Hallaron, T. Tu, and J. Urbanic. 2003. High resolution forward and inverse earthquake modeling on terascale computers. In SC03: Proceedings of the International Conference for High Performance Computing, Networking, Storage, and Analysis, ACM/IEEE.

Akçelik, V., G. Biros, A. Draganescu, O. Ghattas, J. Hill, and B. Van Bloeman Waanders. 2005. Dynamic data-driven inversion for terascale simulations: Real-time identification of airborne contaminants. In Proceedings of the 2005 ACM/IEEE Conference on Supercomputing, Seattle, 2005.

Akçelik, V., G. Biros, O. Ghattas, J. Hill, D. Keyes, and B. Van Bloeman Waanders. 2006. Parallel PDE constrained optimization. In Parallel Processing for Scientific Computing, M. Heroux, P. Raghaven, and H. Simon, eds., SIAM.

ASCE (American Society for Civil Engineers). 2009. Achieving the Vision for Civil Engineering in 2025: A Roadmap for the Profession. Available at content.asce.org/vision2025/index.html.

Bao, H., J. Bielak, O. Ghattas, L. F. Kallivokas, D. R. O’Hallaron, J. R. Shewchuk, and J. Xu. 1996. Earthquake ground motion modeling on parallel computers. In Supercomputing ’96, Pittsburgh, PA, November.

Bell, N., and M. Garland. 2009. Implementing sparse matrix-vector multiplication on throughput-oriented processors. In SC09: Proceedings of the International Conference for High Performance Computing, Networking, Storage, and Analysis, ACM/IEEE.

Burstedde, C., O. Ghattas, M. Gurnis, E. Tan, T. Tu, G. Stadler, L. C. Wilcox, and S. Zhong. 2008. Scalable adaptive mantle convection simulation on petascale supercomputers. In SC08: Proceedings of the International Conference for High Performance Computing, Networking, Storage, and Analysis, ACM/IEEE.

Burstedde, C., O. Ghattas, M. Gurnis, T. Isaac, G. Stadler, T. Warburton, and L. C. Wilcox. 2010. Extreme-scale AMR. In SC10: Proceedings of the International Conference for High Performance Computing, Networking, Storage, and Analysis, ACM/IEEE.

Carrington, L., D. Komatitsch, M. Laurenzano, M. M. Tikir, D. Michéa, N. L. Goff, A. Snavely, and J. Tromp. 2008. High-frequency simulations of global seismic wave propagation using SPECFEM3D GLOBE on 62K processors. In SC08: Proceedings of the International Conference for High Performance Computing, Networking, Storage, and Analysis, ACM/IEEE.

Cui, Y., K. B. Olsen, T. H. Jordan, K. Lee, J. Zhou, P. Small, D. Roten, G. Ely, D.K. Panda, A. Chourasia, J. Levesque, S. M. Day, and P. Maechling. 2010. Scalable earthquake simulation on petascale supercomputers. In SC10: Proceedings of the International Conference for High Performance Computing, Networking, Storage, and Analysis, ACM/IEEE.

Flath, H. P., L. C. Wilcox, V. Akçelik, J. Hill, B. Van Bloemen Waanders, and O. Ghattas. 2011. Fast algorithms for Bayesian uncertainty quantification in large-scale linear inverse problems based on low-rank partial Hessian approximations. SIAM Journal on Scientific Computing 33(1):407-432.

Galbally, D., K. Fidkowski, K. Willcox, and O. Ghattas. 2010. Nonlinear model reduction for uncertainty quantification in large-scale inverse problems. International Journal for Numerical Methods in Engineering 81:1581-1608.

Ghanem, R. G., and A. Doostan. 2006. On the construction and analysis of stochastic models: Characterization and propagation of the errors associated with limited data. Journal of Computational Physics 217:63-81.

Kaipio, J., and E. Somersalo. 2005. Statistical and Computational Inverse Problems. Applied Mathematical Sciences, Vol. 160. New York: Springer-Verlag.

Kennedy, M. C., and A. O’Hagan. 2001. Bayesian calibration of computer models. Journal of the Royal Statistical Society. Series B (Statistical Methodology) 63:425-464.

Keyes, D. E. 2011. Exaflop/s: The why and the how. Comptes Rendus Mcanique 339:70-77.

Komatitsch, D., S. Tsuboi, C. Ji, and J. Tromp. 2003. A 14.6 billion degrees of freedom, 5 teraflops, 2.5 terabyte earthquake simulation on the Earth Simulator. In SC03: Proceedings of the International Conference for High Performance Computing, Networking, Storage, and Analysis, ACM/IEEE.

Lieberman, C., K. Willcox, and O. Ghattas. 2010. Parameter and state model reduction for large-scale statistical inverse problems. SIAM Journal on Scientific Computing 32:2523-2542.

Martin, J., L. C. Wilcox, C. Burstedde, and O. Ghattas. A stochastic Newton MCMC method for large scale statistical inverse problems with application to seismic inversion. In preparation.

Marzouk, Y. M., and H. N. Najm. 2009. Dimensionality reduction and polynomial chaos acceleration of Bayesian inference in inverse problems. Journal of Computational Physics 228:1862-1902.

Narayanan, V. A. B., and N. Zabaras. 2004. Stochastic inverse heat conduction using a spectral approach. International Journal for Numerical Methods Engineering 60:1569-1593.

Oden, J. T., O. Ghattas, et al. 2011. Cyber Science and Engineering: A Report of the NSF Advisory Committee for Cyberinfrastructure Task Force on Grand Challenges. Arlington, VA: National Science Foundation.

Tarantola, A. 2005. Inverse Problem Theory and Methods for Model Parameter Estimation. Philadelphia, PA: SIAM.

Wilcox, L. C., G. Stadler, C. Burstedde, and O. Ghattas. 2010. A high-order discontinuous Galerkin method for wave propagation through coupled elastic-acoustic media. Journal of Computational Physics 229:9373-9396.

Yang, U. M. Parallel algebraic multigrid methods—high performance preconditioners. Pp. 209-236 in Numerical Solution of Partial Differential Equations on Parallel Computers, A. Bruaset and A. Tveito, eds., Lecture Notes in Computational Science and Engineering, Vol. 51, Heidelberg: Springer-Verlag.



The National Academies | 500 Fifth St. N.W. | Washington, D.C. 20001
Copyright © National Academy of Sciences. All rights reserved.
Terms of Use and Privacy Statement