메뉴 건너뛰기




Volumn 55, Issue 1, 2013, Pages 92-124

Simulation of dynamic earthquake ruptures in complex geometries using high-order finite difference methods

Author keywords

Coordinate transforms; Elastodynamics; Friction; High order finite difference; Multi block; Nonlinear boundary conditions; Simultaneous approximation term method; Summation by parts; Wave propagation; Weak boundary conditions

Indexed keywords

CO-ORDINATE TRANSFORM; ELASTO-DYNAMICS; HIGH-ORDER FINITE DIFFERENCES; MULTI BLOCKS; NON-LINEAR BOUNDARY CONDITIONS; SIMULTANEOUS APPROXIMATION TERM METHODS; SUMMATION-BY-PARTS; WEAK BOUNDARY CONDITIONS;

EID: 84875221069     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10915-012-9624-5     Document Type: Article
Times cited : (90)

References (62)
  • 1
    • 0035723798 scopus 로고    scopus 로고
    • Dynamic earthquake ruptures in the presence of lithostatic normal stresses: Implications for friction models and heat production
    • 10.1785/0120000257 10.1785/0120000257
    • Aagaard, B.T., Heaton, T.H., Hall, J.F.: Dynamic earthquake ruptures in the presence of lithostatic normal stresses: implications for friction models and heat production. Bull. Seismol. Soc. Am. 91(6), 1765-1796 (2001). doi: 10.1785/0120000257
    • (2001) Bull. Seismol. Soc. Am. , vol.91 , Issue.6 , pp. 1765-1796
    • Aagaard, B.T.1    Heaton, T.H.2    Hall, J.F.3
  • 3
    • 0016973599 scopus 로고
    • Rupture propagation with finite stress in antiplane strain
    • 10.1029/JB081i020p03575 10.1029/JB081i020p03575
    • Andrews, D.J.: Rupture propagation with finite stress in antiplane strain. J. Geophys. Res. 81(20), 3575-3582 (1976). doi: 10.1029/JB081i020p03575
    • (1976) J. Geophys. Res. , vol.81 , Issue.20 , pp. 3575-3582
    • Andrews, D.J.1
  • 4
    • 0022015654 scopus 로고
    • Dynamic plane-strain shear rupture with a slip-weakening friction law calculated by a boundary integral method
    • Andrews, D.J.: Dynamic plane-strain shear rupture with a slip-weakening friction law calculated by a boundary integral method. Bull. Seismol. Soc. Am. 75(1), 1-21 (1985)
    • (1985) Bull. Seismol. Soc. Am. , vol.75 , Issue.1 , pp. 1-21
    • Andrews, D.J.1
  • 5
    • 0034351910 scopus 로고    scopus 로고
    • Selectivity of spontaneous rupture propagation on a branched fault
    • 10.1029/2000GL011560 10.1029/2000GL011560
    • Aochi, H., Fukuyama, E., Matsu'ura, M.: Selectivity of spontaneous rupture propagation on a branched fault. Geophys. Res. Lett. 27(22), 3635-3638 (2000). doi: 10.1029/2000GL011560
    • (2000) Geophys. Res. Lett. , vol.27 , Issue.22 , pp. 3635-3638
    • Aochi, H.1    Fukuyama, E.2    Matsu'Ura, M.3
  • 6
    • 58249133167 scopus 로고    scopus 로고
    • A stable finite difference method for the elastic wave equation on complex geometries with free surfaces
    • 2484973
    • Appelö, D., Petersson, N.A.: A stable finite difference method for the elastic wave equation on complex geometries with free surfaces. Commun. Comput. Phys. 5(1), 84-107 (2009)
    • (2009) Commun. Comput. Phys. , vol.5 , Issue.1 , pp. 84-107
    • Appelö, D.1    Petersson, N.A.2
  • 7
    • 33847744194 scopus 로고    scopus 로고
    • Perfectly matched layers for hyperbolic systems: General formulation, well-posedness, and stability
    • 10.1137/050639107 2272612 1110.35042 10.1137/050639107
    • Appelö, D., Hagstrom, T., Kreiss, G.: Perfectly matched layers for hyperbolic systems: general formulation, well-posedness, and stability. SIAM J. Appl. Math. 67(1), 1-23 (2006). doi: 10.1137/050639107
    • (2006) SIAM J. Appl. Math. , vol.67 , Issue.1 , pp. 1-23
    • Appelö, D.1    Hagstrom, T.2    Kreiss, G.3
  • 8
    • 0022767765 scopus 로고
    • A fourth-order accurate finite-difference scheme for the computation of elastic waves
    • Bayliss, A., Jordan, K.E., Lemesurier, B.J., Turkel, E.: A fourth-order accurate finite-difference scheme for the computation of elastic waves. Bull. Seismol. Soc. Am. 76(4), 1115-1132 (1986)
    • (1986) Bull. Seismol. Soc. Am. , vol.76 , Issue.4 , pp. 1115-1132
    • Bayliss, A.1    Jordan, K.E.2    Lemesurier, B.J.3    Turkel, E.4
  • 9
    • 0004075585 scopus 로고
    • Technical report NASA TM-109112, National Aeronautics and Space Administration, Langley Research Center, Hampton, VA
    • Carpenter, M.H., Kennedy, C.A.: Fourth-order 2N-storage Runge-Kutta schemes. Technical report NASA TM-109112, National Aeronautics and Space Administration, Langley Research Center, Hampton, VA (1994)
    • (1994) Fourth-order 2N-storage Runge-Kutta Schemes
    • Carpenter, M.H.1    Kennedy, C.A.2
  • 10
    • 0000926967 scopus 로고    scopus 로고
    • A stable and conservative interface treatment of arbitrary spatial accuracy
    • 10.1006/jcph.1998.6114 1669703 0921.65059 10.1006/jcph.1998.6114
    • Carpenter, M.H., Nordström, J., Gottlieb, D.: A stable and conservative interface treatment of arbitrary spatial accuracy. J. Comput. Phys. 148(2), 341-365 (1999). doi: 10.1006/jcph.1998.6114
    • (1999) J. Comput. Phys. , vol.148 , Issue.2 , pp. 341-365
    • Carpenter, M.H.1    Nordström, J.2    Gottlieb, D.3
  • 11
    • 4644318083 scopus 로고    scopus 로고
    • Dynamic rupture simulation of non-planar faults with a finite-difference approach
    • 10.1111/j.1365-246X.2004.02291.x 10.1111/j.1365-246X.2004.02291.x
    • Cruz-Atienza, V.M., Virieux, J.: Dynamic rupture simulation of non-planar faults with a finite-difference approach. Geophys. J. Int. 158(3), 939-954 (2004). doi: 10.1111/j.1365-246X.2004.02291.x
    • (2004) Geophys. J. Int. , vol.158 , Issue.3 , pp. 939-954
    • Cruz-Atienza, V.M.1    Virieux, J.2
  • 12
    • 0019141753 scopus 로고
    • A numerical method for determination of source time functions for general three-dimensional rupture propagation
    • 10.1111/j.1365-246X.1980.tb02593.x 0458.73082 10.1111/j.1365-246X.1980. tb02593.x
    • Das, S.: A numerical method for determination of source time functions for general three-dimensional rupture propagation. Geophys. J. R. Astron. Soc. 62(3), 591-604 (1980). doi: 10.1111/j.1365-246X.1980.tb02593.x
    • (1980) Geophys. J. R. Astron. Soc. , vol.62 , Issue.3 , pp. 591-604
    • Das, S.1
  • 13
    • 0023685903 scopus 로고
    • An investigation of the complexity of the earthquake source time function using dynamic faulting models
    • 10.1029/JB093iB07p08035 10.1029/JB093iB07p08035
    • Das, S., Kostrov, B.V.: An investigation of the complexity of the earthquake source time function using dynamic faulting models. J. Geophys. Res. 93(B7), 8035-8050 (1988). doi: 10.1029/JB093iB07p08035
    • (1988) J. Geophys. Res. , vol.93 , Issue.B7 , pp. 8035-8050
    • Das, S.1    Kostrov, B.V.2
  • 14
    • 0001083050 scopus 로고
    • Three-dimensional finite difference simulation of fault dynamics: Rectangular faults with fixed rupture velocity
    • Day, S.M.: Three-dimensional finite difference simulation of fault dynamics: rectangular faults with fixed rupture velocity. Bull. Seismol. Soc. Am. 72(3), 705-727 (1982)
    • (1982) Bull. Seismol. Soc. Am. , vol.72 , Issue.3 , pp. 705-727
    • Day, S.M.1
  • 15
    • 31544471673 scopus 로고    scopus 로고
    • Comparison of finite difference and boundary integral solutions to three-dimensional spontaneous rupture
    • B12307 10.1029/2005JB003813 10.1029/2005JB003813
    • Day, S.M., Dalguer, L.A., Lapusta, N., Liu, Y.: Comparison of finite difference and boundary integral solutions to three-dimensional spontaneous rupture. J. Geophys. Res. 110, B12307 (2005). doi: 10.1029/2005JB003813
    • (2005) J. Geophys. Res. , vol.110
    • Day, S.M.1    Dalguer, L.A.2    Lapusta, N.3    Liu, Y.4
  • 16
    • 72049091740 scopus 로고    scopus 로고
    • Dynamic rupture modeling on unstructured meshes using a discontinuous Galerkin method
    • B10302 10.1029/2008JB006271 10.1029/2008JB006271
    • de la Puente, J., Ampuero, J.-P., Käser, M.: Dynamic rupture modeling on unstructured meshes using a discontinuous Galerkin method. J. Geophys. Res. 114, B10302 (2009). doi: 10.1029/2008JB006271
    • (2009) J. Geophys. Res. , vol.114
    • De La Puente, J.1    Ampuero, J.-P.2    Käser, M.3
  • 17
    • 80053192549 scopus 로고    scopus 로고
    • Earthquake ruptures with strongly rate-weakening friction and off-fault plasticity, Part 1: Planar faults
    • 10.1785/0120100075 10.1785/0120100075
    • Dunham, E.M., Belanger, D., Cong, L., Kozdon, J.E.: Earthquake ruptures with strongly rate-weakening friction and off-fault plasticity, Part 1: Planar faults. Bull. Seismol. Soc. Am. 101(5), 2296-2307 (2011). doi: 10.1785/0120100075
    • (2011) Bull. Seismol. Soc. Am. , vol.101 , Issue.5 , pp. 2296-2307
    • Dunham, E.M.1    Belanger, D.2    Cong, L.3    Kozdon, J.E.4
  • 18
    • 80053208029 scopus 로고    scopus 로고
    • Earthquake ruptures with strongly rate-weakening friction and off-fault plasticity, Part 2: Nonplanar faults
    • 10.1785/0120100076 10.1785/0120100076
    • Dunham, E.M., Belanger, D., Cong, L., Kozdon, J.E.: Earthquake ruptures with strongly rate-weakening friction and off-fault plasticity, Part 2: Nonplanar faults. Bull. Seismol. Soc. Am. 101(5), 2308-2322 (2011). doi: 10.1785/0120100076
    • (2011) Bull. Seismol. Soc. Am. , vol.101 , Issue.5 , pp. 2308-2322
    • Dunham, E.M.1    Belanger, D.2    Cong, L.3    Kozdon, J.E.4
  • 19
    • 20444501406 scopus 로고    scopus 로고
    • The Newmark scheme as velocity and stress time-staggering: An efficient PML implementation for spectral element simulations of elastodynamics
    • 10.1111/j.1365-246X.2005.02601.x 10.1111/j.1365-246X.2005.02601.x
    • Festa, G., Vilotte, J.-P.: The Newmark scheme as velocity and stress time-staggering: an efficient PML implementation for spectral element simulations of elastodynamics. Geophys. J. Int. 161(3), 789-812 (2005). doi: 10.1111/j.1365-246X.2005.02601.x
    • (2005) Geophys. J. Int. , vol.161 , Issue.3 , pp. 789-812
    • Festa, G.1    Vilotte, J.-P.2
  • 20
    • 0024012212 scopus 로고
    • The pseudospectral method: Accurate representation of interfaces in elastic wave calculations
    • 10.1190/1.1442497 10.1190/1.1442497
    • Fornberg, B.: The pseudospectral method: accurate representation of interfaces in elastic wave calculations. Geophysics 53(5), 625-637 (1988). doi: 10.1190/1.1442497
    • (1988) Geophysics , vol.53 , Issue.5 , pp. 625-637
    • Fornberg, B.1
  • 21
    • 0029405381 scopus 로고
    • A spectral method for three-dimensional elastodynamic fracture problems
    • 10.1016/0022-5096(95)00043-I 1356862 0876.73050 10.1016/0022-5096(95) 00043-I
    • Geubelle, P.H., Rice, J.R.: A spectral method for three-dimensional elastodynamic fracture problems. J. Mech. Phys. Solids 43(11), 1791-1824 (1995). doi: 10.1016/0022-5096(95)00043-I
    • (1995) J. Mech. Phys. Solids , vol.43 , Issue.11 , pp. 1791-1824
    • Geubelle, P.H.1    Rice, J.R.2
  • 22
    • 84966247471 scopus 로고
    • The convergence rate for difference approximations to mixed initial boundary value problems
    • 386296 0313.65085 10.1090/S0025-5718-1975-0386296-7
    • Gustafsson, B.: The convergence rate for difference approximations to mixed initial boundary value problems. Math. Comput. 29(130), 396-406 (1975)
    • (1975) Math. Comput. , vol.29 , Issue.130 , pp. 396-406
    • Gustafsson, B.1
  • 24
    • 38749117521 scopus 로고    scopus 로고
    • High-order local absorbing conditions for the wave equation: Extensions and improvements
    • 10.1016/j.jcp.2007.11.040 2392736 1136.65081 10.1016/j.jcp.2007.11.040
    • Hagstrom, T., Mar-Or, A., Givoli, D.: High-order local absorbing conditions for the wave equation: extensions and improvements. J. Comput. Phys. 227(6), 3322-3357 (2008). doi: 10.1016/j.jcp.2007.11.040
    • (2008) J. Comput. Phys. , vol.227 , Issue.6 , pp. 3322-3357
    • Hagstrom, T.1    Mar-Or, A.2    Givoli, D.3
  • 25
    • 0033396696 scopus 로고    scopus 로고
    • Simulation of the spontaneous growth of a dynamic crack without constraints on the crack tip path
    • 10.1046/j.1365-246x.1999.00940.x 10.1046/j.1365-246x.1999.00940.x
    • Kame, N., Yamashita, T.: Simulation of the spontaneous growth of a dynamic crack without constraints on the crack tip path. Geophys. J. Int. 139(2), 345-358 (1999). doi: 10.1046/j.1365-246x.1999.00940.x
    • (1999) Geophys. J. Int. , vol.139 , Issue.2 , pp. 345-358
    • Kame, N.1    Yamashita, T.2
  • 26
    • 56449098296 scopus 로고    scopus 로고
    • Spectral element modeling of spontaneous earthquake rupture on rate and state faults: Effect of velocity-strengthening friction at shallow depths
    • B09317 10.1029/2007JB005553 10.1029/2007JB005553
    • Kaneko, Y., Lapusta, N., Ampuero, J.-P.: Spectral element modeling of spontaneous earthquake rupture on rate and state faults: effect of velocity-strengthening friction at shallow depths. J. Geophys. Res. 113, B09317 (2008). doi: 10.1029/2007JB005553
    • (2008) J. Geophys. Res. , vol.113
    • Kaneko, Y.1    Lapusta, N.2    Ampuero, J.-P.3
  • 29
    • 84875229664 scopus 로고    scopus 로고
    • Rupture to the trench: Dynamic rupture simulations of the 11 March 2011 Tohoku earthquake
    • accepted. URL
    • Kozdon, J.E., Dunham, E.M.: Rupture to the trench: dynamic rupture simulations of the 11 March 2011 Tohoku earthquake. Bull. Seism. Soc. Am. (2013, accepted). URL www.stanford.edu/~jkozdon/publications/kozdon-dunham-tohoku- BSSA12.pdf
    • (2013) Bull. Seism. Soc. Am.
    • Kozdon, J.E.1    Dunham, E.M.2
  • 30
    • 85028118966 scopus 로고    scopus 로고
    • Interaction of waves with frictional interfaces using summation-by-parts difference operators: Weak enforcement of nonlinear boundary conditions
    • 10.1007/s10915-011-9485-3 2886331 06038137 10.1007/s10915-011-9485-3
    • Kozdon, J.E., Dunham, E.M., Nordström, J.: Interaction of waves with frictional interfaces using summation-by-parts difference operators: weak enforcement of nonlinear boundary conditions. J. Sci. Comput. 50(2), 341-367 (2012). doi: 10.1007/s10915-011-9485-3
    • (2012) J. Sci. Comput. , vol.50 , Issue.2 , pp. 341-367
    • Kozdon, J.E.1    Dunham, E.M.2    Nordström, J.3
  • 31
    • 84980172444 scopus 로고
    • Initial boundary value problems for hyperbolic systems
    • 10.1002/cpa.3160230304 437941 10.1002/cpa.3160230304
    • Kreiss, H.-O.: Initial boundary value problems for hyperbolic systems. Commun. Pure Appl. Math. 23(3), 277-298 (1970). doi: 10.1002/cpa.3160230304
    • (1970) Commun. Pure Appl. Math. , vol.23 , Issue.3 , pp. 277-298
    • Kreiss, H.-O.1
  • 35
    • 0033693598 scopus 로고    scopus 로고
    • Elastodynamic analysis for slow tectonic loading with spontaneous rupture episodes on faults with rate- and state-dependent friction
    • 10.1029/2000JB900250 10.1029/2000JB900250
    • Lapusta, N., Rice, J.R., Ben-Zion, Y., Zheng, G.: Elastodynamic analysis for slow tectonic loading with spontaneous rupture episodes on faults with rate- and state-dependent friction. J. Geophys. Res. 105, 23765-23790 (2000). doi: 10.1029/2000JB900250
    • (2000) J. Geophys. Res. , vol.105 , pp. 23765-23790
    • Lapusta, N.1    Rice, J.R.2    Ben-Zion, Y.3    Zheng, G.4
  • 36
    • 33750306641 scopus 로고    scopus 로고
    • Modeling of the perfectly matched layer absorbing boundaries and intrinsic attenuation in explicit finite-element methods
    • 10.1785/0120050219 10.1785/0120050219
    • Ma, S., Liu, P.: Modeling of the perfectly matched layer absorbing boundaries and intrinsic attenuation in explicit finite-element methods. Bull. Seismol. Soc. Am. 96(5), 1779-1794 (2006). doi: 10.1785/0120050219
    • (2006) Bull. Seismol. Soc. Am. , vol.96 , Issue.5 , pp. 1779-1794
    • Ma, S.1    Liu, P.2
  • 37
    • 0032458820 scopus 로고    scopus 로고
    • Modeling dynamic rupture in a 3D earthquake fault model
    • Madariaga, R., Olsen, K., Archuleta, R.: Modeling dynamic rupture in a 3D earthquake fault model. Bull. Seismol. Soc. Am. 88(5), 1182-1197 (1998)
    • (1998) Bull. Seismol. Soc. Am. , vol.88 , Issue.5 , pp. 1182-1197
    • Madariaga, R.1    Olsen, K.2    Archuleta, R.3
  • 39
    • 4544273333 scopus 로고    scopus 로고
    • Summation by parts operators for finite difference approximations of second derivatives
    • 10.1016/j.jcp.2004.03.001 2091906 1071.65025 10.1016/j.jcp.2004.03.001
    • Mattsson, K., Nordström, J.: Summation by parts operators for finite difference approximations of second derivatives. J. Comput. Phys. 199(2), 503-540 (2004). doi: 10.1016/j.jcp.2004.03.001
    • (2004) J. Comput. Phys. , vol.199 , Issue.2 , pp. 503-540
    • Mattsson, K.1    Nordström, J.2
  • 40
    • 84856514836 scopus 로고    scopus 로고
    • Seismic velocity structure off Miyagi fore-arc region, Japan Trench, using ocean bottom seismographic data
    • 1
    • Miura, S., Takahashi, N., Nakanishi, A., Ito, A., Kodaira, S., Tsuru, T., Kaneda, Y.: Seismic velocity structure off Miyagi fore-arc region, Japan Trench, using ocean bottom seismographic data. In: Frontier Res. Earth Evolut., vol. 1, pp. 337-340 (2001)
    • (2001) Frontier Res. Earth Evolut. , pp. 337-340
    • Miura, S.1    Takahashi, N.2    Nakanishi, A.3    Ito, A.4    Kodaira, S.5    Tsuru, T.6    Kaneda, Y.7
  • 41
    • 27644538024 scopus 로고    scopus 로고
    • Structural characteristics off Miyagi forearc region, the Japan Trench seismogenic zone, deduced from a wide-angle reflection and refraction study
    • 10.1016/j.tecto.2005.08.001 10.1016/j.tecto.2005.08.001
    • Miura, S., Takahashi, N., Nakanishi, A., Tsuru, T., Kodaira, S., Kaneda, Y.: Structural characteristics off Miyagi forearc region, the Japan Trench seismogenic zone, deduced from a wide-angle reflection and refraction study. Tectonophysics 407(3-4), 165-188 (2005). doi: 10.1016/j.tecto.2005.08.001
    • (2005) Tectonophysics , vol.407 , Issue.3-4 , pp. 165-188
    • Miura, S.1    Takahashi, N.2    Nakanishi, A.3    Tsuru, T.4    Kodaira, S.5    Kaneda, Y.6
  • 42
    • 0019167670 scopus 로고
    • Numerical simulations of earthquake source process by a three-dimensional crack model. Part I. Rupture process
    • 10.4294/jpe1952.28.565
    • Miyatake, T.: Numerical simulations of earthquake source process by a three-dimensional crack model. Part I. Rupture process. J. Phys. Earth 28(6), 565-598 (1980)
    • (1980) J. Phys. Earth , vol.28 , Issue.6 , pp. 565-598
    • Miyatake, T.1
  • 43
    • 38349147137 scopus 로고    scopus 로고
    • The finite-difference and finite-element modeling of seismic wave propagation and earthquake motion
    • 10.2478/v10155-010-0084-x
    • Moczo, P., Kristek, J., Gallis, M., Pazak, P., Balazovjecha, M.: The finite-difference and finite-element modeling of seismic wave propagation and earthquake motion. Acta Phys. Slovaca 57(2), 177-406 (2007)
    • (2007) Acta Phys. Slovaca , vol.57 , Issue.2 , pp. 177-406
    • Moczo, P.1    Kristek, J.2    Gallis, M.3    Pazak, P.4    Balazovjecha, M.5
  • 44
    • 42649124466 scopus 로고    scopus 로고
    • Stable difference approximations for the elastic wave equation in second order formulation
    • 10.1137/060663520 2346364 1158.65064 10.1137/060663520
    • Nilsson, S., Petersson, N.A., Sjogreen, B., Kreiss, H.-O.: Stable difference approximations for the elastic wave equation in second order formulation. SIAM J. Numer. Anal. 45(5), 1902-1936 (2007). doi: 10.1137/060663520
    • (2007) SIAM J. Numer. Anal. , vol.45 , Issue.5 , pp. 1902-1936
    • Nilsson, S.1    Petersson, N.A.2    Sjogreen, B.3    Kreiss, H.-O.4
  • 45
    • 70349664480 scopus 로고    scopus 로고
    • Earthquake ruptures with thermal weakening and the operation of major faults at low overall stress levels
    • B07302 10.1029/2008JB006143 10.1029/2008JB006143
    • Noda, H., Dunham, E.M., Rice, J.R.: Earthquake ruptures with thermal weakening and the operation of major faults at low overall stress levels. J. Geophys. Res. 114, B07302 (2009). doi: 10.1029/2008JB006143
    • (2009) J. Geophys. Res. , vol.114
    • Noda, H.1    Dunham, E.M.2    Rice, J.R.3
  • 46
    • 33845494937 scopus 로고    scopus 로고
    • Conservative finite difference formulations, variable coefficients, energy estimates and artificial dissipation
    • 10.1007/s10915-005-9013-4 2272324 1109.65076 10.1007/s10915-005-9013-4
    • Nordström, J.: Conservative finite difference formulations, variable coefficients, energy estimates and artificial dissipation. J. Sci. Comput. 29(3), 375-404 (2006). doi: 10.1007/s10915-005-9013-4
    • (2006) J. Sci. Comput. , vol.29 , Issue.3 , pp. 375-404
    • Nordström, J.1
  • 47
    • 0035841069 scopus 로고    scopus 로고
    • High-order finite difference methods, multidimensional linear problems, and curvilinear coordinates
    • 10.1006/jcph.2001.6864 1857624 0987.65081 10.1006/jcph.2001.6864
    • Nordström, J., Carpenter, M.H.: High-order finite difference methods, multidimensional linear problems, and curvilinear coordinates. J. Comput. Phys. 173(1), 149-174 (2001). doi: 10.1006/jcph.2001.6864
    • (2001) J. Comput. Phys. , vol.173 , Issue.1 , pp. 149-174
    • Nordström, J.1    Carpenter, M.H.2
  • 48
    • 0032524382 scopus 로고    scopus 로고
    • Earthquakes on dipping faults: The effects of broken symmetry
    • 10.1126/science.280.5366.1055 10.1126/science.280.5366.1055
    • Oglesby, D.D., Archuleta, R.J., Nielsen, S.B.: Earthquakes on dipping faults: the effects of broken symmetry. Science 280(5366), 1055-1059 (1998). doi: 10.1126/science.280.5366.1055
    • (1998) Science , vol.280 , Issue.5366 , pp. 1055-1059
    • Oglesby, D.D.1    Archuleta, R.J.2    Nielsen, S.B.3
  • 49
    • 84964442545 scopus 로고
    • Summation by parts, projections, and stability. II
    • 1308459 0848.65064 10.1090/S0025-5718-1995-1308459-9
    • Olsson, P.: Summation by parts, projections, and stability. II. Math. Comput. 64(212), 1473-1493 (1995)
    • (1995) Math. Comput. , vol.64 , Issue.212 , pp. 1473-1493
    • Olsson, P.1
  • 50
    • 84857407874 scopus 로고    scopus 로고
    • Three-dimensional dynamic rupture simulation with a high-order discontinuous Galerkin method on unstructured tetrahedral meshes
    • B02309 10.1029/2011JB008857 10.1029/2011JB008857
    • Pelties, C., de la Puente, J., Ampuero, J.-P., Brietzke, G.B., Käser, M.: Three-dimensional dynamic rupture simulation with a high-order discontinuous Galerkin method on unstructured tetrahedral meshes. J. Geophys. Res. Solid Earth 117, B02309 (2012). doi: 10.1029/2011JB008857
    • (2012) J. Geophys. Res. Solid Earth , vol.117
    • Pelties, C.1    De La Puente, J.2    Ampuero, J.-P.3    Brietzke, G.B.4    Käser, M.5
  • 51
    • 0001467235 scopus 로고
    • Self-healing slip pulse on a frictional surface
    • 10.1016/0022-5096(95)00036-I 1346424 0918.73096 10.1016/0022-5096(95) 00036-I
    • Perrin, G., Rice, J.R., Zheng, G.: Self-healing slip pulse on a frictional surface. J. Mech. Phys. Solids 43(9), 1461-1495 (1995). doi: 10.1016/0022-5096(95)00036-I
    • (1995) J. Mech. Phys. Solids , vol.43 , Issue.9 , pp. 1461-1495
    • Perrin, G.1    Rice, J.R.2    Zheng, G.3
  • 52
    • 0001373463 scopus 로고
    • Constitutive relations for fault slip and earthquake instabilities
    • 10.1007/BF02590151 10.1007/BF02590151
    • Rice, J.R.: Constitutive relations for fault slip and earthquake instabilities. Pure Appl. Geophys. 121(3), 443-475 (1983). doi: 10.1007/BF02590151
    • (1983) Pure Appl. Geophys. , vol.121 , Issue.3 , pp. 443-475
    • Rice, J.R.1
  • 53
    • 0020556833 scopus 로고
    • Stability of steady frictional slipping
    • 10.1115/1.3167042 0554.73095 10.1115/1.3167042
    • Rice, J.R., Ruina, A.L.: Stability of steady frictional slipping. J. Appl. Mech. 50(2), 343-349 (1983). doi: 10.1115/1.3167042
    • (1983) J. Appl. Mech. , vol.50 , Issue.2 , pp. 343-349
    • Rice, J.R.1    Ruina, A.L.2
  • 54
    • 0035451515 scopus 로고    scopus 로고
    • Rate and state dependent friction and the stability of sliding between elastically deformable solids
    • 10.1016/S0022-5096(01)00042-4 1093.74512 10.1016/S0022-5096(01)00042-4
    • Rice, J.R., Lapusta, N., Ranjith, K.: Rate and state dependent friction and the stability of sliding between elastically deformable solids. J. Mech. Phys. Solids 49(9), 1865-1898 (2001). doi: 10.1016/S0022-5096(01)00042-4
    • (2001) J. Mech. Phys. Solids , vol.49 , Issue.9 , pp. 1865-1898
    • Rice, J.R.1    Lapusta, N.2    Ranjith, K.3
  • 56
    • 70450196700 scopus 로고    scopus 로고
    • Finite difference modelling of rupture propagation with strong velocity-weakening friction
    • 10.1111/j.1365-246X.2009.04387.x 10.1111/j.1365-246X.2009.04387.x
    • Rojas, O., Dunham, E.M., Day, S.M., Dalguer, L.A., Castillo, J.E.: Finite difference modelling of rupture propagation with strong velocity-weakening friction. Geophys. J. Int. 179, 1831-1858 (2009). doi: 10.1111/j.1365-246X.2009. 04387.x
    • (2009) Geophys. J. Int. , vol.179 , pp. 1831-1858
    • Rojas, O.1    Dunham, E.M.2    Day, S.M.3    Dalguer, L.A.4    Castillo, J.E.5
  • 57
    • 79959336932 scopus 로고    scopus 로고
    • Displacement above the hypocenter of the 2011 Tohoku-Oki earthquake
    • doi: 10.1126/science.1207401
    • Sato, M., Ishikawa, T., Ujihara, N., Yoshida, S., Fujita, M., Mochizuki, M., Asada, A.: Displacement above the hypocenter of the 2011 Tohoku-Oki earthquake. Science 332(6036) (2011). doi: 10.1126/science.1207401
    • (2011) Science , vol.332 , Issue.6036
    • Sato, M.1    Ishikawa, T.2    Ujihara, N.3    Yoshida, S.4    Fujita, M.5    Mochizuki, M.6    Asada, A.7
  • 59
    • 0002449864 scopus 로고
    • Summation by parts for finite difference approximations for d/dx
    • 10.1006/jcph.1994.1005 1259900 0792.65011 10.1006/jcph.1994.1005
    • Strand, B.: Summation by parts for finite difference approximations for d/dx. J. Comput. Phys. 110(1), 47-67 (1994). doi: 10.1006/jcph.1994.1005
    • (1994) J. Comput. Phys. , vol.110 , Issue.1 , pp. 47-67
    • Strand, B.1
  • 60
    • 33748544239 scopus 로고    scopus 로고
    • On the order of accuracy for difference approximations of initial-boundary value problems
    • 10.1016/j.jcp.2006.02.014 10.1016/j.jcp.2006.02.014
    • Svärd, M., Nordström, J.: On the order of accuracy for difference approximations of initial-boundary value problems. J. Comput. Phys. 218(1), 333-352 (2007). doi: 10.1016/j.jcp.2006.02.014
    • (2007) J. Comput. Phys. , vol.218 , Issue.1 , pp. 333-352
    • Svärd, M.1    Nordström, J.2
  • 61
    • 0026476246 scopus 로고
    • Elastic wave propagation simulation in the presence of surface topography
    • 10.1111/j.1365-246X.1992.tb04641.x 10.1111/j.1365-246X.1992.tb04641.x
    • Tessmer, E., Kosloff, D., Behle, A.: Elastic wave propagation simulation in the presence of surface topography. Geophys. J. Int. 108(2), 621-632 (1992). doi: 10.1111/j.1365-246X.1992.tb04641.x
    • (1992) Geophys. J. Int. , vol.108 , Issue.2 , pp. 621-632
    • Tessmer, E.1    Kosloff, D.2    Behle, A.3
  • 62
    • 63049103076 scopus 로고    scopus 로고
    • Dynamic rupture process of the 1999 Chi-Chi, Taiwan, earthquake
    • 10.1007/s11589-009-0003-8 10.1007/s11589-009-0003-8
    • Zhang, H., Chen, X.: Dynamic rupture process of the 1999 Chi-Chi, Taiwan, earthquake. Earth Sci. 22(1), 3-12 (2009). doi: 10.1007/s11589-009-0003-8
    • (2009) Earth Sci. , vol.22 , Issue.1 , pp. 3-12
    • Zhang, H.1    Chen, X.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.