Publications

  • H. Berjamin, N. Favrie, B. Lombard, G. Chiavassa: Non-linear waves in solids with slow dynamics: an internal-variable model, Proc. R. Soc. A, 473, 2017.
  • H. Berjamin, B. Lombard, G. Chiavassa, N. Favrie: Analytical solution to 1D nonlinear elastodynamics with general constitutive laws, Wave Motion , 74, 2017.                                                
  • E. Blanc, G. Chiavassa, B. Lombard: Wave simulation in heterogeneous transversely isotropic porous media with fractional attenuation: a Cartesian grid approach, J. Comp. Phys., Vol. 275, 2014. 
  • E. Blanc, G. Chiavassa, B. Lombard: Time-domain numerical modeling of 2D wave propagation in porous media with frequency-dependent dynamic permeability, Journal of the Acoustical Society of America, Vol. 134 No 6, 2013.  
     
  • E. Blanc, G. Chiavassa, B. Lombard: Biot-JKD model: simulation of 1D transient poroelastic waves with fractional derivatives, J. Comp. Phys., Vol. 237, 2013. 
     
  • G. Chiavassa, B. Lombard: Wave Propagation Across Acoustic/Biot’s Media: A Finite-Difference Method, Commun. Comput. Phys., CICP, Vol. 13, No 4, 2013. 
     
  • G. Mesgouez, A. Mesgouez, G. Chiavassa, B. Lombard: Semi-analytical and numerical methods for computing transient waves in 2D acoustic/poroelastic stratified media, Wave Motion, Vol. 49, Issue 2, 2012. 
     
  • M. Chekroun, L. Le Marrec, B. Lombard, J. Piraux, “Multiple scattering of elastic waves : a numerical method for computing the effective wavenumbers”, Waves in Random and Complex Media, 22-3 (2012), 398-422. 
     
  • G. Chiavassa, B. Lombard: Time domain numerical modeling of wave propagation in 2D heterogeneous porous media, J. Comp. Phys., Vol. 230, 2011. 
     
  • G. Chiavassa, B. Lombard and J. Piraux: Numerical modeling of 1-D transient poroelastic waves in the low-frequency range, J. Computational and Applied. Math., Vol. 234, 6, 2010. 
     
  • B. Lombard, J. Piraux, C. Gélis, J. Virieux, “Free and smooth boundaries in 2-D finite-difference schemes for transient elastic waves”, Geophysical Journal International, 172 (2008), 252-261. 
     
  • B. Lombard, J. Piraux, “Modeling 1-D elastic P-waves in a fractured rock with hyperbolic jump conditions”, Journal of Computational and Applied Mathematics, 204-2 (2007), 292-305. 
     
  • B. Lombard, J. Piraux, “Numerical modeling of elastic waves across imperfect contacts”, SIAM Journal of Scientific Computing, 28-1 (2006), 172-205.
     
  • B. Lombard, J.Piraux, “Numerical treatment of two-dimensional interfaces for acoustic and elastic waves”, Journal of Computational Physics, 195-1 (2004), 90-116. 
     
  • B. Lombard, J. Piraux, “How to incorporate the spring-mass conditions in finite-difference schemes”, SIAM Journal of Scientific Computing, 24-4 (2003), 1379-1407.
     
  • J. Piraux, B. Lombard, “A new interface method for hyperbolic problems with discontinuous coefficients : one-dimensional acoustic example”, Journal of Computational Physics, 168-1 (2001), 227-248.