Software for efficient static dislocation-traction calculations in fault simulators

Seismological Research Letters

Volumn 85, Issue 6, 2014, Pages 1358-1365

  Bradley, Andrew M ^a  

^a STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DISLOCATION; FAULT; SOFTWARE; STATIC RESPONSE;

EID: 84908431069     PISSN: 08950695     EISSN: 19382057     Source Type: Journal    
DOI: 10.1785/0220140092     Document Type: Article

References (21)

1. Alfeld, P. (1984). A trivariate Clough-Tocher scheme for tetrahedral data, Comput. Aided Geometr. Design 1, no. 2, 169-181.
2. Barnes, J., and P. Hut (1986). A hierarchical O(N log N) force-calculation algorithm, Nature 324, 446-449.
3. Bebendorf, M. (2008). Hierarchical Matrices: A Means to Efficiently Solve Elliptic Boundary Value Problems, Springer, Berlin, Germany.
4. Bebendorf, M., and S. Rjasanow (2003). Adaptive low-rank approximation of collocation matrices, Computing 70, no. 1, 1-24.
5. Börm, S., L. Grasedyck, and W. Hackbusch (2003). Hierarchical Matrices, Lecture Notes, Max-Planck-Institut fur Mathematik in den Naturwissenschaften, Leipzig, Germany.
6. Bradley, A. M. (2011). H-Matrix and Block Error Tolerances, available at http://arxiv.org/abs/1110.2807 (last accessed July 2014).
7. Coulier, P., S. François, G. Lombaert, and G. Degrande (2013). Application of hierarchical matrices to boundary element methods for elastodynamics based on Green's functions for a horizontally layered halfspace, Eng. Anal. Bound. Elem. 37, no. 12, 1745-1758.
8. Crouch, S. L. (1976). Solution of plane elasticity problems by the displacement discontinuity method: I. Infinite body solution, Int. J. Numer. Meth. Eng. 10, 301-343.
9. Crouch, S. L., and A. M. Starfield (1983). Boundary Element Methods in Solid Mechanics, George Allen and Unwin, London, United Kingdom.
10. Greengard, L., and V. Rokhlin (1987). A fast algorithm for particle simulations, J. Comput. Phys. 73, no. 2, 325-348.
11. Hackbusch, W. (1999). A sparse matrix arithmetic based on H-matrices. Part I: Introduction to H-matrices, Computing 62, 89-108.
12. Hackbusch, W. (2009). Hierarchische Matrizen: Algorithmen und Analysis, Springer, Berlin, Germany (in German).
13. Maerten, F. (2010). Adaptive cross approximation applied to the solution of system of equations and post-processing for 3D elastostatic problems using the boundary element method, Eng. Anal. Bound. Elem. 34, no. 5, 483-491.
14. Ohtani, M., K. Hirahara, Y. Takahashi, T. Hori, M. Hyodo, H. Nakashima, and T. Iwashita (2011). Fast computation of quasidynamic earthquake cycle simulation with hierarchical matrices, Procedia Comput. Sci. 4, 1456-1465.
15. Okada, Y. (1992). Internal deformation due to shear and tensile faults in a half-space, Bull. Seismol. Soc. Am. 82, 1018-1040.
16. Rubin, A. M., and J.-P. Ampuero (2009). Self-similar slip pulses during rate-and-state earthquake nucleation, J Geophys. Res. 114, no. B11, doi: 10.1029/2009JB006529.
17. Shibazaki, B., and T. Shimamoto (2007). Modelling of short-interval silent slip events in deeper subduction interfaces considering the frictional properties at the unstable-stable transition regime, Geophys. J. Int. 171, no. 1, 191-205.
18. Shou, K. J., and S. L. Crouch (1995). A higher order displacement discontinuity method for analysis of crack problems, Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 32, 49-55.
19. Shou, K. J., E. Siebrits, and S. L. Crouch (1997). A higher order displacement discontinuity method for three-dimensional elastic problems, Int. J. Rock Mech. Min. Sci. 34, no. 2, 317-322.
20. Vijayakumar, S., T. E. Yacoub, and J. H. Curran (2000). A node-centric indirect boundary element method: Three-dimensional displacement discontinuities, Comput. Struct. 74, no. 6, 687-703.
21. Ying, L., G. Biros, and D. Zorin (2004). A kernel-independent adaptive fast multipole method in two and three dimensions, J. Comp. Phys. 196, no. 2, 591-626.