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math.NA2022
A sturcture-preserving, upwind-SAV scheme for the degenerate Cahn--Hilliard equation with applications to simulating surface diffusion
Qiong-Ao Huang, Wei Jiang, Jerry Zhijian Yang +1
This paper establishes a structure-preserving numerical scheme for the Cahn--Hilliard equation with degenerate mobility. First, by applying a finite volume method with upwind numer…
math.NA2022
A convexity-preserving and perimeter-decreasing parametric finite element method for the area-preserving curve shortening flow
Wei Jiang, Chunmei Su, Ganghui Zhang
We propose and analyze a semi-discrete parametric finite element scheme for solving the area-preserving curve shortening flow. The scheme is based on Dziuk's approach (SIAM J. Nume…