3 papers
math.NA2025
Thermodynamically Consistent Modeling and Stable ALE Approximations of Reactive Semi-Permeable Interfaces
Weidong Shi, Shixin Xu, Zhen Zhang +1
Reactive, semi-permeable interfaces play important roles in key biological processes such as targeted drug delivery, lipid metabolism, and signal transduction. These systems involv…
math.NA2025
Stable fully practical finite element methods for axisymmetric Willmore flow
Harald Garcke, Robert Nürnberg, Quan Zhao
We consider fully discrete numerical approximations for axisymmetric Willmore flow that are unconditionally stable and work reliably without remeshing. We restrict our attention to…
math.NA2025
Stable fully discrete finite element methods with BGN tangential motion for Willmore flow of planar curves
Harald Garcke, Robert Nürnberg, Quan Zhao
We propose and analyze stable finite element approximations for Willmore flow of planar curves. The presented schemes are based on a novel weak formulation which combines an evolut…