Séance Séminaire

Séminaire des Doctorant·e·s

Hodge Stars Operators for Discrete Exterior Calculus on Voronoi-Delaunay Biperiodic Meshes

In recent years, the fields of geometry and topology have become essential tools for representing physical systems in mathematical and computational contexts. Discrete Exterior Calculus (DEC) is one such tool that adapts concepts from smooth, continuous exterior calculus to a discrete setting, making it highly applicable in computational simulations for physics, engineering, and applied mathematics. This presentation will serve as an introduction to DEC and focus on the development of Hodge star operators, which contains the metric information of the domain. By employing reconstruction techniques, we aim to achieve a better accurate operators for DEC in terms of the Hodge-star operator.