2025

Convergence rates of curved boundary element methods for the 3D Laplace and Helmholtz equations, Faria, Luiz M. and Marchand, Pierre and Montanelli, Hadrien, arXiv preprint arXiv:2507.13955. [arXiv, HAL]

2025

A complex-scaled boundary integral equation for the embedded eigenvalues and complex resonances of the Neumann-Poincaré operator on domains with corners, Faria, Luiz M. and Monteghetti, Florian, Computers & Mathematics with Applications, vol. 197, pp. 135–166. [HAL]

2024

A complex-scaled boundary integral equation for time-harmonic water waves, Dhia, Anne-Sophie Bonnet-Ben and Faria, Luiz M. and Pérez-Arancibia, Carlos, SIAM Journal on Applied Mathematics, vol. 84, no. 4, pp. 1532–1556. [arXiv]

2024

Fast, high-order numerical evaluation of volume potentials via polynomial density interpolation, Anderson, Thomas G and Bonnet, Marc and Faria, Luiz M. and Pérez-Arancibia, Carlos, Journal of Computational Physics, vol. 511, pp. 113091.

2024

Heat and momentum losses in H 2–O 2–N 2/Ar detonations: on the existence of set-valued solutions with detailed thermochemistry, Veiga-López, Fernando and Faria, Luiz M. and Melguizo-Gavilanes, J, Shock Waves, vol. 34, no. 3, pp. 273–283.

2024

Combined field-only boundary integral equations for PEC electromagnetic scattering problem in spherical geometries, Faria, Luiz M. and Pérez-Arancibia, Carlos and Turc, Catalin, SIAM Journal on Applied Mathematics, vol. 84, no. 1, pp. 19–38.

2024

Construction of polynomial particular solutions of linear constant-coefficient partial differential equations, Anderson, Thomas G and Bonnet, Marc and Faria, Luiz M. and Pérez-Arancibia, Carlos, Computers & Mathematics with Applications, vol. 162, pp. 94–103.

2024

Study of a qualitative model for combustion waves: Flames, detonations, and deflagration-to-detonation transition, Goldin, Andrei Yu and Magomedov, Shamil M and Faria, Luiz M. and Kasimov, Aslan R, Computers & Fluids, vol. 273, pp. 106213.

2023

Windowed Green function method for wave scattering by periodic arrays of 2D obstacles, Strauszer-Caussade, Thomas and Faria, Luiz M. and Fernandez-Lado, Agustín and Pérez-Arancibia, Carlos, Studies in Applied Mathematics, vol. 150, no. 1, pp. 277–315.

2022

Influence of chemistry on the steady solutions of hydrogen gaseous detonations with friction losses, Veiga-Lopez, Fernando and Faria, Luiz M. and Melguizo-Gavilanes, Josué, Combustion and Flame, vol. 240, pp. 112050.

2021

General-purpose kernel regularization of boundary integral equations via density interpolation, Faria, Luiz M. and Pérez-Arancibia, Carlos and Bonnet, Marc, Computer Methods in Applied Mechanics and Engineering, vol. 378, pp. 113703.

2021

Experimental and theoretical observations on DDT in smooth narrow channels, Melguizo-Gavilanes, J and Ballossier, Yves and Faria, Luiz M., Proceedings of the Combustion Institute, vol. 38, no. 3, pp. 3497–3503.

2020

Planewave density interpolation methods for the EFIE on simple and composite surfaces, Pérez-Arancibia, Carlos and Turc, Catalin and Faria, Luiz M. and Sideris, Constantine, IEEE Transactions on Antennas and Propagation, vol. 69, no. 1, pp. 317–331.

2019

Harmonic density interpolation methods for high-order evaluation of Laplace layer potentials in 2D and 3D, Pérez-Arancibia, Carlos and Faria, Luiz M. and Turc, Catalin, Journal of Computational Physics, vol. 376, pp. 411–434.

2019

Convolution quadrature methods for time-domain scattering from unbounded penetrable interfaces, Labarca, Ignacio and Faria, Luiz M. and Pérez-Arancibia, Carlos, Proceedings of the Royal Society A, vol. 475, no. 2227, pp. 20190029.

2019

Planewave density interpolation methods for 3D Helmholtz boundary integral equations, Pérez-Arancibia, Carlos and Turc, Catalin and Faria, Luiz M., SIAM Journal on Scientific Computing, vol. 41, no. 4, pp. A2088–A2116.

2018

Anomalous chained turbulence in actively driven flows on spheres, Mickelin, Oscar and Słomka, Jonasz and Burns, Keaton J and Lecoanet, Daniel and Vasil, Geoffrey M and Faria, Luiz M. and Dunkel, Jörn, Physical review letters, vol. 120, no. 16, pp. 164503.

2018

The interaction of a walking droplet and a submerged pillar: From scattering to the logarithmic spiral, Harris, Daniel M and Brun, P-T and Damiano, Adam and Faria, Luiz M. and Bush, John WM, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 28, no. 9.

2018

Walking droplets interacting with single and double slits, Pucci, Giuseppe and Harris, Daniel M and Faria, Luiz M. and Bush, John WM, Journal of Fluid Mechanics, vol. 835, pp. 1136–1156.

2017

A model for Faraday pilot waves over variable topography, Faria, Luiz M., Journal of Fluid Mechanics, vol. 811, pp. 51–66.

2017

Equation level matching: An extension of the method of matched asymptotic expansion for problems of wave propagation, Faria, Luiz M. and Rosales, Rodolfo R, Studies in Applied Mathematics, vol. 139, no. 2, pp. 265–287.

2016

Set-valued solutions for non-ideal detonation, Semenko, Roman and Faria, Luiz M. and Kasimov, Aslan R and Ermolaev, BS, Shock Waves, vol. 26, no. 2, pp. 141–160.

2016

Study of a model equation in detonation theory: multidimensional effects, Faria, Luiz M. and Kasimov, Aslan R and Rosales, Rodolfo R, SIAM Journal on Applied Mathematics, vol. 76, no. 3, pp. 887–909.

2016

Non-specular reflection of walking droplets, Pucci, Giuseppe and Sáenz, Pedro J and Faria, Luiz M. and Bush, John WM, Journal of Fluid Mechanics, vol. 804, pp. R3.

2016

On a Theoretical Prediction of the Dynamics of Pulsating and Cellular Detonations in Gases, Kasimov, AR and Faria, Luiz M. and Rosales, RR, Combustion and Explosion, vol. 9, no. 2, pp. 42–50.

2015

Qualitative modeling of the dynamics of detonations with losses, Faria, Luiz M. and Kasimov, Aslan R, Proceedings of the Combustion Institute, vol. 35, no. 2.

2015

Theory of weakly nonlinear self-sustained detonations, Faria, Luiz M. and Kasimov, Aslan R and Rosales, Rodolfo R, Journal of Fluid Mechanics, vol. 784, pp. 163–198.

2014

Study of a model equation in detonation theory, Faria, Luiz M. and Kasimov, Aslan R and Rosales, Rodolfo R, SIAM Journal on Applied Mathematics, vol. 74, no. 2, pp. 547–570.

2013

Model for shock wave chaos, Kasimov, Aslan R and Faria, Luiz M. and Rosales, Rodolfo R, Physical review letters, vol. 110, no. 10, pp. 104104.

2024

SOLVING BOUNDARY AND VOLUME INTEGRAL EQUATIONS WITH INTI. JL, Anderson, Thomas G and Faria, Luiz M. and Pérez-Arancibia, Carlos, 16th International Conference on Mathematical and Numerical Aspects of Wave Propagation, WAVES 2024.

2022

A High-order Density-Interpolation-Based Nyström Method for Three-Dimensional Electromagnetic Boundary Integral Equations, Arrieta, Rodrigo and Faria, Luiz M. and Perez-Arancibia, Carlos and Turc, Catalin, 15th International Conference on Mathematical and Numerical Aspects of Wave Propagation, WAVES 2022, pp. 158–159.

2017

A toy model for detonations and flames, Faria, Luiz M. and Lau-Chapdelaine, Shem and Kasimov, Aslan R and Rosales, Rodolfo R, 26th International Colloquium on the Dynamics of Explosions and Reactive Systems (ICDERS).

2017

Planar Blast Initiation of Detonations Using a Simplified Model, Lau-Chapdelaine, S and Faria, Luiz M. and Rosales, RR and Radulescu, MI, 26th International Colloquium on the Dynamics of Explosions and Reactive Systems (ICDERS).