Author

Wei Wang

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Preprint Aug 2026

Hybrid Lagrangian-Eulerian Model for Lagrangian Fluid Simulation

Pure Lagrangian neural simulators offer geometric flexibility and exact advection, making them well-suited for modeling moving domains and free surfaces. However, the absence of a fixed global reference frame introduces two severe limitations: a spatial bottleneck, in which model capacity is wasted on uniform regions b...

Ruoyan Li, Wei Wang, Yizhou Sun · 0 citations

Jul 2026

Generalized Neural Operator for Parametric and Boundary-Value Problems

By formalizing the classical conditions for well-posedness within neural operators, this framework demonstrates the theoretical benefits of explicitly conditioning on PDE parameters and boundary conditions and achieves superior generalization across heterogeneous physical regimes while maintaining strict inference effi...

Ruoyan Li, Yizhou Sun, Wei Wang · arXiv.org · 0 citations