2 papers
math.NA2026
Second-Order Area/Volume-Preserving PFEMs for Surface Diffusion via Simpson--Boole Geometric Identities
Zhiqing Pan, Jiwei Jia, Lian Zhang
We propose second-order-in-time parametric finite element methods for surface diffusion of closed curves in two dimensions and closed surfaces in three dimensions. The construction…
math.NA2024
Predictor-corrector, BGN-based parametric finite element methods for surface diffusion
Wei Jiang, Chunmei Su, Ganghui Zhang +1
We present a novel parametric finite element approach for simulating the surface diffusion of curves and surfaces. Our core strategy incorporates a predictor-corrector time-steppin…