, The Audible Human Project of acoustics and vibrations laboratory of University of Illinois at Chicago, pp.2007-2014
Energy and Laplacian on Hanoi-type fractal quantum graphs, J. Phys. A, vol.49, issue.16, p.36, 2016. ,
Boundary quasi-orthogonality and sharp inclusion bounds for large Dirichlet eigenvalues, SIAM J. Numer. Anal, vol.49, issue.3, pp.1046-1063, 2011. ,
, An introduction to probability theory and its applications, vol.II, 1966.
A viscoelastic model with non-local damping application to the human lungs, M2AN Math. Model. Numer. Anal, vol.40, issue.1, pp.201-224, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00277840
Transparent boundary conditions for wave propagation in fractal trees: convolution quadrature approach, submitted, 2019. ,
, Transparent boundary conditions for wave propagation in fractal trees: convolution quadrature approach, 2019.
, Local transparent boundary conditions for wave propagation in fractal trees (i): method and numerical implementation, 2020.
Wave propagation in fractal trees, Mathematical and numerical issues, vol.14, issue.2, pp.205-264, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-00973543
Construction and analysis of improved Kirchoff conditions for acoustic wave propagation in a junction of thin slots, Paris-Sud Working Group on Modelling and Scientific Computing, ESAIM Proc, vol.25, pp.44-67, 2007. ,
Spectral asymptotics for Laplacians on self-similar sets, J. Funct. Anal, vol.258, issue.4, pp.1310-1360, 2010. ,
Analysis on fractals, Cambridge Tracts in Mathematics, vol.143, 2001. ,
Weyl's problem for the spectral distribution of Laplacians on p.c.f. self-similar fractals, Comm. Math. Phys, vol.158, issue.1, pp.93-125, 1993. ,
Spectral asymptotics, renewal theorem, and the Berry conjecture for a class of fractals, Proc. London Math. Soc, issue.3, pp.188-214, 1996. ,
The respiratory system in equations, 2013. ,
Trace theorems for trees, application to the human lungs, Network and Heteregeneous Media, vol.4, issue.3, pp.469-500, 2009. ,
Modeling sound transmission through the pulmonary system and chest with application to diagnosis of a collapsed lung, The Journal of the Acoustical Society of America, vol.111, issue.4, pp.1931-1946, 2002. ,
Propagation d'ondes dans des jonctions de fentes minces, 2010. ,