Numerical Schemes in Seismology

  • ‘Generalized-screen approximation and algorithm for the scattering of elastic waves’, Q. J. Mech. Appl. Math. 56 (2003) 1-33, doi: 10.1093/qjmam/56.1.1, with J.H. Le Rousseau View pdf
  • ‘Multi-scale discrete approximation of Fourier Integral Operators’, Multiscale Modeling and Simulation 10(1) (2012) 111-145, doi: 10.1137/100808174, with F. Andersson and H. Wendt View pdf
  • ‘Regularity and multi-scale discretization of the solution construction of hyperbolic evolution equations with limited smoothness’, Applied and Computational Harmonic Analysis 33 (2012) 330-353, doi: 10.1016/j.acha.2012.01.001, with S.F. Holman, H. Smith and G. Uhlmann View pdf
  • ‘A discontinuous Galerkin method with a modified penalty flux for the propagation and scattering of acousto-elastic waves’, Geoph. J. Int. 205 (2016) 1267-1289, doi: 10.1093/gji/ggw070, with R. Ye, C.L. Petrovitch, L.J. Pyrak-Nolte and L.C. Wilcox View pdf
  • ‘A high order discontinuous Galerkin method with penalty fluxes for the symmetric form of the anisotropic viscoelastic wave equation’, Computers and Mathematics with Applications 99 (2021) 113-132, doi:10.1016/j.camwa.2021.08.003, with K. Shukla and J. Chan View pdf
  • `A discontinuous Galerkin method for quasi-static viscoelastic relaxation’, with K. Shukla, not available yet
  • ‘A weight-adjusted discontinuous Galerkin method for the poroelastic wave equation: Penalty fluxes and micro-heterogeneities’, J. Comp. Phys. 403 (2020) 109061, doi:10.1016/j.jcp.2019.109061, with K. Shukla, J. Chan and P. Jaiswal View pdf
  • ‘Mixed approach for coupled flow and mechanics in a fractured medium’, ArXiv (2024), with O. Duran, K. Kumar and S. Stefansdotti
  • ‘A multi-rate iterative coupling scheme for simulating dynamic ruptures and seismic waves generation in the prestressed earth’, J. Comp. Phys. 405 (2020) 109098, doi:10.1016/j.jcp.2019.109098, with R. Ye, K. Kumar and M. Campillo View pdf
  • ‘Non-perturbative approach to computing seismic normal modes in rotating planets’, J. Sci. Comput. 91 (2022) 67, doi:10.1016/j.camwa.2021.08.003, with J. Shi, R. Li, Y. Xi and Y. Saad View pdf
  • ‘Massively parallel structured multifrontal solver for time-harmonic elastic waves in 3D anisotropic media’, Geoph. J. Int. 191 (2012) 346-366, doi: 10.1111/j.1365-246X.2012.05634.x, with S. Wang, J. Xia and X.S. Li View pdf
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