• This study proposes a variational multi-scale meshless method to solve the volumetric locking problem. Through the hybrid formula and the developed multiscale steady-state term, the volumetric locking and pressure oscillation problems in the large deformation problem can be effectively avoided. We extended this method to the material point method, and the stress oscillation is eliminated through the pressure projection technique, and the Cross-Cell Instability is solved by the RKPM method
• This study used the neural network to overcome the difficulty of simulating weak discontinuities and stress concentration problems with the meshless method in the advection dominated problem in the fluid flows; we also use the neural network coupling finite element method to overcome another common phenomenon in multi-scale extreme engineering problems: the curse of dimensionality.
We have published several top-ranked journal papers in this field.