76 citations · 123 across the 14 of their papers we have counts for
3 papers · 1 filter
Sensitivity analysis and tailored design of minimization diagrams
Ernesto G. Birgin, Antoine Laurain, Tiago C. Menezes
Minimization diagrams encompass a large class of diagrams of interest in the literature, such as generalized Voronoi diagrams. We develop an abstract perturbation theory and perfor…
Analysis and application of a lower envelope method for sharp-interface multiphase problems
Antoine Laurain
We introduce and analyze a lower envelope method (LEM) for the tracking of interfaces motion in multiphase problems. The main idea of the method is to define the phases as the regi…
A Shape-Newton approach to the problem of covering with identical balls
Ernesto G. Birgin, Antoine Laurain, Rafael Massambone +1
The problem of covering a region of the plane with a fixed number of minimum-radius identical balls is studied in the present work. An explicit construction of bi-Lipschitz mapping…