A novel parallel approach for 3D seismological problems

References

• Agreste, S. , and Ricciardello, A. , 2011. Simulation of seismic wave propagation in 3d heterogeneous media: A parallel computing approach , Commun. Appl. Ind. Math. 1 (2011), pp. 1–14, doi:10.1685/journal.caim.
   Google Scholar
• Bao, H. , Bielak, J. , Ghattas, O. , Kallivokas, L. , O'Hallaron, D. , Shewchuk, J. , and Xu, J. , Earthquake ground motion modeling on parallel computers . Presented at Proceedings of Supercomputing ’96. 17–22, November, 1996.
   Google Scholar
• Bard, P. , 1995. Effects of surface geology on ground motion: Recent results and remaining issues . Presented at Proceedings of the 10th European Conference on Earthquake Engineering.
   Google Scholar
• Bielak, J. , Ghattas, O. , and Bao, H. , Ground motion modeling using 3d finite element methods . Presented at Proceedings of the 2nd International Symposium on the Effects of Surface Geology on the Seismic Motion. 1998.
   Google Scholar
• Caserta, A. , 1998. A time domain finite-difference technique for oblique incidence of antiplane waves in heterogeneous dissipative media , Ann. Geophys. 41 (1998), pp. 617–631.
   Google Scholar
• Caserta, A. , Ruggiero, V. , Busico, M. , and Opršal, I. , 2009. Parallelisation technique for serial 3d seismic codes: Sms approach , Ann. Geophys. 52 (2009), pp. 503–514.
   Web of Science ®Google Scholar
• Chaljub, E. , Komatitsch, D. , Capdeville, Y. , Vilotte, J. , Valette, B. , and Festa, G. , 2007. Spectral-element analysis in seismology , Adv. Geophys. 48 (2007), pp. 365–419.
   Web of Science ®Google Scholar
• Clayton, R. , and Engquist, B. , 1977. Absorbing boundary conditions for acoustic and elastic wave equations , Bull. Seismol. Soc. Amer. 67 (1977), pp. 1529–1540.
   Web of Science ®Google Scholar
• Clayton, R. , and Engquist, B. , 1980. Absorbing boundary conditions for wave-equation migration , Geophysics 45 (1980), pp. 895–904.
   Web of Science ®Google Scholar
• Engquist, B. , and Majda, A. , 1977. Absorbing boundary conditions for the numerical simulation of waves , Math. Comp. 31 (1977), pp. 629–651.
   Web of Science ®Google Scholar
• Engquist, B. , and Majda, A. , 1979. Radiation boundary conditions for acoustic and elastic wave calculations , Comm. Pure Appl. Math. 32 (1979), pp. 313–357.
   Web of Science ®Google Scholar
• G. Karypis and V. Kumar, MeTiS, A Software Package for Partitioning Unstructured Graphs, Partitioning Meshes, and Computing Fill-Reducing Orderings of Sparse Matrices – Version 4.0, Army HPC Research Center, Department of Computer Science, University of Minnesota, 1998. Available at http://www.cs.umn.edu/ karypis..
   Google Scholar
• L.A.N. Laboratory, Los Alamos Grid Toolbox, LaGrit, Los Alamos National Laboratory, 2003. Available at http://lagrit.lanl.gov/..
   Google Scholar
• Newmark, N. , 1959. A method of computation for structural dynamics , ASCE J. Eng. Mech. Div. 85 (1959), pp. 67–94.
   Google Scholar
• Olsen, K. , and Archuleta, R. , 1996. Three-dimensional simulations of earthquakes on the Los Angeles fault system , Bull. Seismol. Soc. Amer. 86 (1996), pp. 575–596.
   Web of Science ®Google Scholar
• Puccio, L. , and Ricciardello, A. , 2009. Algorithms for large sparse matrices based on finite element method , Commun. SIMAI Congr. 3 (2009), pp. 1–11.
   Google Scholar
• Quarteroni, A. , Tagliani, A. , and Zampieri, E. , 1998. Generalized Galerkin approximation of elastic waves with absorbing boundary conditions , Comput. Methods Appl. Mech. Eng. 163 (1998), pp. 323–341.
   Web of Science ®Google Scholar
• A. Ricciardello, Finite element method for seismological applications, Ph.D. thesis, Mathematics Department, Messina University, 2011..
   Google Scholar
• Ruggiero, V. , Lanucara, P. , Busico, M. P. , Caserta, A. , and Firmani, B. , 2004. Numerical modelling of the ground motion: A parallel approach for finite element methods . Presented at Applied and Industrial Mathematics in Italy: Proceedings of 7th Conference, Chap. 1.
   Google Scholar
• Schwabe, E. , Blelloch, G. , Feldmann, A. , Ghattas, O. , Gilbert, J. , Miller, G. , O'Hallaron, D. , Shewchuk, J. , and Teng, S. , A separator-based framework for automated partitioning and mapping of parallel algorithms for numerical solution of PDEs . Presented at Proceedings of 1992 DAGS/PC Symposium, Department of Mathematics and Computer Science, Dartmouth College. 23–27, June, 1992.
   Google Scholar
• Shewchuk, J. , A condition guaranteeing the existence of higher-dimensional constrained Delaunay triangulations . Presented at SCG '98: Proceedings of the Fourteenth Annual Symposium on Computational Geometry. Minneapolis, MN, USA, 7–10, June, 1998.
   Google Scholar
• Shewchuk, J. , Tetrahedral mesh generation by Delaunay refinement . Presented at SCG '98: Proceedings of the Fourteenth Annual Symposium on Computational Geometry. 7–10, June, 1998.
   Google Scholar
• Stacey, R. , 1988. Improved transparent boundary formulations for the elastic-wave equation , Bull. Seismol. Soc. Amer. 78 (1988), pp. 2089–2097.
   Web of Science ®Google Scholar
• Tu, T. , Yu, H. , Ramirez-Guzman, L. , Bielak, J. , Ghattas, O. , Ma, K. L. , and O'Hallaronh, D. , 2006. From mesh generation to scientific visualization an end-to-end approach to parallel supercomputing . Presented at SC2006.
   Google Scholar
• Wolf, F. , 2010. "Scalasca". In: Helmholtz-University Young Investigators Group . Tennessee University; 2010, Available at http://www.scalasca.org..
   Google Scholar