Structure-Preserving Finite Element Methods for Multi-Phase Interface Dynamics.

par Tokuhiro Eto (ICJ - Lyon 1)

mercredi 3 déc. 2025, 16:10 → 16:50 Europe/Paris

Fokko (ICJ)

We present a unified structure-preserving finite element framework for multi-phase Mullins–Sekerka type problems with triple junctions. Starting from the isotropic formulation, which ensures exact volume conservation and unconditional energy stability, we progressively extend the model to incorporate anisotropic surface energies, variable mobility, and kinetic undercooling. The proposed discretization preserves the energy-dissipating structure of the continuous problem, providing a robust and physically consistent numerical scheme. Through numerical experiments, we demonstrate complex interfacial dynamics of evolving networks and illustrate how anisotropy and kinetic effects influence the morphology and stability of the system. This talk is based on joint works with Harald Garcke (Universität Regensburg, Germany) and Robert Nürnberg (Università di Trento, Italy).