2 papers
math.DG2020
On the Uniqueness of Clifford Torus with Prescribed Isoperimetric Ratio
Thomas Yu, Jingmin Chen
The Marques-Neves theorem asserts that among all the torodial (i.e. genus 1) closed surfaces, the Clifford torus has the minimal Willmore energy . % It is a natural…
math.NA2019
Numerical Methods for Biomembranes: conforming subdivision methods versus non-conforming PL methods
Jingmin Chen, Thomas Yu, Patrick Brogan +3
The Canham-Helfrich-Evans models of biomembranes consist of a family of geometric constrained variational problems. In this article, we compare two classes of numerical methods for…