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math.NA2026
Arbitrarily High-Order Structure-Preserving Parametric Finite Element Methods for Geometric PDEs via Local Pullback Flow Maps
Weizhu Bao, Yifei Li, Dongmin Wang
We develop arbitrarily high-order structure-preserving parametric finite element methods for geometric PDEs including surface diffusion and volume-preserving mean curvature flow ba…
math.NA2025
An energy-stable parametric finite element method for the Willmore flow in three dimensions
Weizhu Bao, Yifei Li, Dongmin Wang
This work develops novel energy-stable parametric finite element methods (ES-PFEM) for the Willmore flow and curvature-dependent geometric gradient flows of surfaces in three dimen…