Contributions

My research focuses on scientific modeling by mathematical and numerical analysis via development of fast, high-performance methodologies for the accurate resolution of partial differential equations (PDEs) in the study of natural phenomena. Much of my work is motivated by the fundamental desire to construct methodologies that faithfully preserve the underlying physics of computational models, and seeks to identify interdisciplinary problems in science and engineering that can provide mutual validation of both mathematical simulation and experiment.

Refinement for boundary elements [9]

Simulated cardiac pressure cycle [6,8]

3D guided wave interactions [1,2,5,7]

Publications

[9] A high-order h-BEM methodology with anisotropic mesh adaptation, Faisal Amlani, Stéphanie Chaillat and Adrien Loseille. In preparation.

[8] An FC-based solver for arterial wave dynamics, Faisal Amlani and Niema Pahlevan. In preparation.

[7] Comparison of numerical solutions and laboratory experiments for plates with thru-thickness defects, J. Carlos López-Vázquez, Faisal Amlani and Oscar P. Bruno. In preparation.

[6] Intrinsic frequency analysis with high-order simulations, Niema Pahlevan and Faisal Amlani. In preparation.

[5] An FC-based spectral solver for elastodynamic problems in general three-dimensional domains, Faisal Amlani and Oscar P. Bruno, Journal of Computational Physics 307 (2016)

[4] Dynamically controllable force-generating system, Faisal Amlani, Manuel Lombardini and Jon Miller, Patent Pending US 20160327073 and WO 2016179405 (2015)

[3] A physiologically relevant, simple outflow boundary model for truncated vasculature, Niema Pahlevan, Faisal Amlani, et al, Annals of Biomedical Engineering 39,5 (2011)

[2] Numerical modeling and measurement by pulsed television holography of ultrasonic displacement maps in plates with through-thickness defects, J. Carlos López-Vázquez, Faisal Amlani, et al, Optical Engineering 49,9 (2010)

[1] Modelling for characterizing defects in plates using two-dimensional maps of instantaneous ultrasonic out-of-plane displacement obtained by pulsed TV-holography, J. Carlos López-Vázquez, Faisal Amlani, et al, Proceedings SPIE 7389 (2009)

Talks

On boundary element methods

  1. [10] Contributed talk at the International Association of BEM, Sorbonne Université (Jussieu), Paris FRANCE (06/2018)
  2. [9] Invited talk at JJC Ondes (journées jeunes chercheurs), Sorbonne Université (Jussieu), Paris FRANCE (11/2017)
  3. [8] Contributed talk at the Paris-London BEM Workshop 2017, University College London (UCL), UK (06/2017)
  4. [7] Contributed talk at the 5th BEM on the Saar, Universität des Saarlandes, Saarbrücken GERMANY (05/2017)
  5. [6] Contributed talk at the 13th International Conference on Mathematical and Numerical Aspects of Waves, University of Minnesota, Minneapolis USA (05/2017)

On Fourier continuation methods

  1. [5] Contributed talk at the 13th International Conference on Mathematical and Numerical Aspects of Waves, University of Minnesota, Minneapolis USA (05/2017)
  2. [4] Invited seminar in Seismology, Institut de Physique du Globe de Paris, Université Sorbonne Paris Cité, FRANCE (11/2015)

On other topics

  1. [3] Invited lecture on delay differential equations with clinical application in respitory physiology, Dept. of Medical Engineering, California Institute of Technology (Caltech), Pasadena USA (01/2015)
  2. [2] Contributed presentation on optimized sensor location for advection-diffusion equations, NSF-VIGRE Symposium 2006, Rice University, Houston USA (04/2006)
  3. [1] Invited joint talk on flux corrections for the Boltzmann equation, Center for Applied Scientific Computing, Lawrence Livermore National Laboratory, Livermore USA (08/2004)

Teaching

École des Ponts, Paris FRANCE

  1. [6] Outils mathématiques pour l'ingénieur (calcul intégral et différentiel) (petite classe: cours + TD) (2018)

California Institute of Technology, Pasadena USA

  1. [5] Complex analysis (lecturing, writing course materials, managing teaching assistants and their sections) (2007-2013)
  2. [4] Ordinary differential equations and dynamical systems (lecturing, writing course materials, managing teaching assistants and their sections) (2007-2013)
  3. [3] Partial differential equations (lecturing, writing course materials, managing teaching assistants and their sections) (2007-2013)

Rice University and Baylor College of Medicine, Houston USA

  1. [2] Theoretical neuroscience (writing solutions, grading and delivering tutorials) (2005)
  2. [1] Differential equations (writing solutions, grading and delivering tutorials) (2004-2005)