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math.NA2025
HoSGFEM: High-order stable generalized finite element method for elliptic interface problem
Bingying Zhao, Yin Song, Quanling Deng +1
The Generalized Finite Element Method (GFEM) is an effective unfitted numerical method for handling interface problems. By augmenting the standard FEM space with an appropriate enr…
cs.CE2025
An Eulerian Data Assimilation Method for Two-Layer Quasi-Geostrophic Model in Physical Domain
Hyeonggeun Yun, Quanling Deng
Data assimilation (DA) integrates observational data with numerical models to improve the prediction of complex physical systems. However, traditional DA methods often struggle wit…
math.DS2025
Particle, kinetic and hydrodynamic models for sea ice floes. Part I: Non-rotating floes
Quanling Deng, Seung-Yeal Ha
We introduce a comprehensive modeling framework for the dynamics of sea ice floes using particle, kinetic, and hydrodynamic approaches. Building upon the foundational work of Ha an…