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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…