3 papers
math.NA2026
Algebraic Invariant Quadratization Schemes for Cahn--Hilliard Equations
Fei Xie, Nan Lu, Yajuan Sun
In this paper, we propose the Algebraic Invariant Quadratization (AIQ) framework for rational-like energy functions by introducing auxiliary variables, which are interpreted as Cas…
math.NA2026
Energy stable auxiliary variable method for Cahn--Hilliard equations
Fei Xie, Nan Lu, Yajuan Sun
In this paper, we propose a quadratic reformulation theory for rational-like functions. Based on this theory, we develop the Quadratic Conservation Elevation (QCE) method, which co…
math.NA2025
A novel phase-field model for -phase problems: modeling, asymptotic analysis and numerical simulations
Lun Zhang, Chenxi Wang, Nan Lu +1
The classical phase-field modeling approaches for multiphase problems represent each phase using a regularized characteristic function, which necessarily introduces a simplex const…