2 papers
math.NA2024
Computation of harmonic functions on higher genus surfaces
Mickaël Nahon, Édouard Oudet
We extend a classical approximation result of harmonic functions in planar domains due to Bernstein and Walsch to the setting of harmonic functions in Riemann surfaces. This result…
math.OC2024
A Lagrangian shape and topology optimization framework based on semi-discrete optimal transport
Charles Dapogny, Bruno Levy, Edouard Oudet
This article revolves around shape and topology optimization, in the applicative context where the objective and constraint functionals depend on the solution to a physical boundar…