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 
Simulated cardiac pressure cycle [6,8]
3D guided wave interactions [1,2,5,7]
 A high-order h-BEM methodology with anisotropic mesh adaptation, Faisal Amlani, Stéphanie Chaillat and Adrien Loseille. In preparation.
 An FC-based solver for arterial wave dynamics, Faisal Amlani and Niema Pahlevan. In preparation.
 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.
 Intrinsic frequency analysis with high-order simulations, Niema Pahlevan and Faisal Amlani. In preparation.
 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)
 Dynamically controllable force-generating system, Faisal Amlani, Manuel Lombardini and Jon Miller, Patent Pending US 20160327073 and WO 2016179405 (2015)
 A physiologically relevant, simple outflow boundary model for truncated vasculature, Niema Pahlevan, Faisal Amlani, et al, Annals of Biomedical Engineering 39,5 (2011)
 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)
 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)
On boundary element methods
On Fourier continuation methods
On other topics
École des Ponts, Paris FRANCE
California Institute of Technology, Pasadena USA