Author

Nuo Lei

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Preprint Oct 2026

UnCut FEM with PHT-splines on unfitted T-meshes

We propose a novel unfitted finite element method based on polynomial splines over hierarchical T-meshes (PHT-splines) for elliptic partial differential equations (PDEs) posed on domains whose boundaries are described implicitly by a level-set function. Exploiting the enhanced smoothness of the spline space, we formula...

Fa-Lai Chen, Nuo Lei, Bu-Yang Li · 0 citations

Preprint Oct 2026

An energy--stable ALE--FEM with compensated tangential velocity for Navier--Stokes free--boundary flows

We propose an energy-stable arbitrary Lagrangian-Eulerian (ALE) finite element formulation for incompressible Navier-Stokes flows with surface-tension-driven free boundaries. The key ingredient is a multiplier-free compensated tangential velocity formulation, which redistributes boundary nodes via the discrete tangenti...

Nuo Lei, Wei-Ying Zheng, Na Zhu · 0 citations

Review Jul 2026

HydroAgent: Formalizing Forecaster Expertise into Skill-Orchestrated Flood Forecasting Workflows

HydroAgent is proposed, a skill-orchestrated agent framework that embeds Large Language Models (LLMs) into a model-driven flood forecasting workflow, where each skill encodes explicit rules to bound LLM reasoning, demonstrating how explicit rule boundaries can guide language model reasoning to complement physically bas...

Qingyi Yang, S. Qiu, Bingyao Li et al. · arXiv.org · 0 citations