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math.NA2026
A revisit to DeTurck method on curve shortening flow with optimal error analysis
Beiping Duan
The curve shortening--DeTurck flow introduced by Elliott and Fritz (IMA J. Numer. Anal. 37(2): 543--603, 2017) is a reparameterization of the curve shortening flow via the DeTurck…
math.NA2026
A Second-order Structure-preserving Parametric FEM for Surface Evolution
Beiping Duan, Zongze Yang
In this paper, we propose a second-order-in-time, structure-preserving, and mesh-robust parametric finite element method for surface diffusion and volume-preserving mean curvature…