error analysis 1evolving surface finite elements 1lagrange multipliers 1mean curvature flow 1structure-preserving methods 1time discretization 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.NA2026
Structure-preserving Lagrange-multiplier methods for mean curvature flow and their error bounds
Balázs Kovács, Buyang Li, Christian Lubich
The paper introduces and analyzes structure‑preserving finite element methods that use Lagrange multipliers to enforce energy‑decreasing behavior in numerical simulations of mean c…
math.NA2026
Dual formulations of geometric curvature flows and their discretizations
Guangwei Gao, Buyang Li, Rong Tang
We propose new formulations of geometric curvature flows -- referred to as \emph{dual formulations} -- that are equivalent to the original formulations but provide a novel framewor…
math.RT2026
Notes on Chevalley Groups and Root Category III: the Region of Total Positivity
Buyan Li, Jie Xiao
In [4], we use the root categories to realize Chevalley groups. Lusztig's theory of total positivity for reductive groups can be naturally applied to Chevalley groups. In this pape…