3 papers
math.OC2026
Direct Spectral Acceleration of First-Order Methods for Saddle Point Problems with Bilinear Coupling
Meng Li, Paul Grigas
We study convex-concave saddle point problems with bilinear coupling, covering linearly constrained convex optimization and more general nonsmooth or constrained models via a proxi…
math.NA2026
Adaptive moving mesh methods for the planar Willmore flow
Zhenghua Duan, Meng Li
In this paper, we propose adaptive moving mesh methods for the planar Willmore flow by incorporating a tangential velocity into the original geometric evolution. The tangential vel…
math.NA2025
Structure-preserving parametric finite element methods for anisotropic surface diffusion flow with minimal deformation formulation
Yihang Guo, Meng Li
High mesh quality plays a crucial role in maintaining the stability of solutions in geometric flow problems. Duan and Li [Duan & Li, SIAM J. Sci. Comput. 46 (1) (2024) A587-A608] a…