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math.NA2021★ 4 cited
Microscopic Patterns in the 2D Phase-Field-Crystal Model
Gabriel Martine-La Boissoniere, Rustum Choksi, Jean-Philippe Lessard
Using the recently developed theory of rigorously validated numerics, we address the Phase-Field-Crystal (PFC) model at the microscopic (atomistic) level. We show the existence of…
math.NA2020
A simple geometric method for navigating the energy landscape of centroidal Voronoi tessellations
Ivan Gonzalez, Rustum Choksi, Jean-Christophe Nave
Finding optimal (or low energy) centroidal Voronoi tessellations (CVTs) on a 2D domain is a challenging problem. One must navigate an energy landscape whose desirable critical poin…