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math.NA2026
Numerical simulation of biological capsules based on interface-fitted polygonal meshes
Daniele A. Di Pietro, Simon Mendez, Aurelio E. Spadotto
In this work we introduce a numerical framework for the simulation of biological capsules based on meshes that adapt iteration-wise to the shape of the membrane. The discretization…
math.NA2024
A discrete de Rham discretization of interface diffusion problems with application to the Leaky Dielectric Model
Daniele A. Di Pietro, Simon Mendez, Aurelio Edoardo Spadotto
Motivated by the study of the electrodynamics of particles, we propose in this work an arbitrary-order discrete de Rham scheme for the treatment of elliptic problems with potential…