3 papers
math.NA2026
Unconditional Optimal Error Estimates and Energy Stability for a Linearly Implicit Mass-Lumped Projection Finite Element Method for the Harmonic Map Flow
Yongyong Cai, Xingwei Yang
We propose and analyze a linearly implicit mass-lumped finite element method for the heat flow of harmonic maps into the unit sphere. The method consists of a linear predictor foll…
cond-mat.soft2026
Tensor gradient flow for rod-like liquid crystals from molecular model with closure approximation by quasi-entropy
Yongyong Cai, Jie Xu, Haixin Zhang
In tensor dynamics for liquid crystals derived from molecular models, a common problem is closure approximation. For rod-like molecules, the Bingham closure has proved to outperfor…
math.NA2024
A robust hybridizable discontinuous Galerkin scheme with harmonic averaging technique for steady state of real-world semiconductor devices
Qingyuan Shi, Yongyong Cai, Chijie Zhuang +4
Solving real-world nonlinear semiconductor device problems modeled by the drift-diffusion equations coupled with the Poisson equation (also known as the Poisson-Nernst-Planck equat…