3 papers
math.NA2026
Stability and Convergence of Mixed Finite Elements for Linear Regularized 13-Moment Equations
Shuang Hu, Huiteng Li, Zhenning Cai
We present a stable and convergent mixed finite element method (MFEM) for the linear regularized 13-moment (R13) equations in rarefied gas dynamics. Unlike existing methods that re…
math.NA2025
Lagrangian Particle Classification and Lagrangian Flux Identities for a Moving Hypersurface
Lingyun Ding, Shuang Hu, Baiyun Huang +1
For a moving hypersurface in the flow of a nonautonomous ordinary differential equation in -dimensional Euclidean spaces, the fluxing index of a passively-advected Lagrangian pa…
physics.flu-dyn2023
Physics-informed Neural Network Combined with Characteristic-Based Split for Solving Navier-Stokes Equations
Shuang Hu, Meiqin Liu, Senlin Zhang +2
In this paper, physics-informed neural network (PINN) based on characteristic-based split (CBS) is proposed, which can be used to solve the time-dependent Navier-Stokes equations (…