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20242026
most citedStructure-preserving parametric finite element methods for anisotropic surface diffusion flow with minimal deformation formulation

1 citations · 1 across the 5 of their papers we have counts for

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5 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★ 1 cited

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…

math.NA2024

Efficient energy-stable parametric finite element methods for surface diffusion flow and applications in solid-state dewetting

Meng Li, Yihang Guo, Jingjiang Bi

Currently existing energy-stable parametric finite element methods for surface diffusion flow and other flows are usually limited to first-order accuracy in time. Designing a high-…

math.NA2024

Structure-preserving weighted BDF2 methods for Anisotropic Cahn-Hilliard model: uniform/variable-time-steps

Meng Li, Jingjiang Bi, Nan Wang

In this paper, we innovatively develop uniform/variable-time-step weighted and shifted BDF2 (WSBDF2) methods for the anisotropic Cahn-Hilliard (CH) model, combining the scalar auxi…