2 papers
math.NA2026
A finite element continuous data assimilation framework for a Navier--Stokes--Cahn--Hilliard system
Tianyu Sun
This paper studies a coupled two-dimensional Navier--Stokes--Cahn--Hilliard phase-field model augmented by a transported auxiliary field, and develops a continuous data assimilatio…
math.NA2025
Geometrical mixed finite element methods for fourth order obstacle problems in linearised elasticity
Paolo Piersanti, Tianyu Sun
This paper is devoted to the study of a novel mixed Finite Element Method for approximating the solutions of fourth order variational problems subjected to a constraint. The first…