8 citations · 14 across the 3 of their papers we have counts for
3 papers
cond-mat.mtrl-sci2021★ 8 cited
Nano-patterning of surfaces by ion sputtering: Numerical study of the anisotropic damped Kuramoto-Sivashinsky equation
E. Vitral, D. Walgraef, J. Pontes +2
Nonlinear models for pattern evolution by ion beam sputtering on a material surface present an ongoing opportunity for new numerical simulations. A numerical analysis of the evolut…
nlin.PS2020★ 3 cited
Stripe patterns orientation resulting from nonuniform forcings and other competitive effects in the Swift-Hohenberg dynamics
Daniel L. Coelho, Eduardo Vitral, José Pontes +1
Spatio-temporal pattern formation in complex systems presents rich nonlinear dynamics which leads to the emergence of periodic nonequilibrium structures. One of the most prominent…
nlin.PS2020★ 3 cited
Numerical scheme for solving the nonuniformly forced cubic and quintic Swift-Hohenberg equations strictly respecting the Lyapunov functional
D. L. Coelho, E. Vitral, J. Pontes +1
Computational modeling of pattern formation in nonequilibrium systems is a fundamental tool for studying complex phenomena in biology, chemistry, materials science and engineering.…