Research

Across my academic journey, my primary research focus has been developing and applying efficient and robust numerical methods for various PDEs within science and engineering. A particular interest has arisen from tackling numerical difficulties inherent to PDE problems, needing advanced computational strategies. Furthermore, I am convinced that exploring efficient and robust numerical methods can yield practical numerical simulations in high-dimensional spaces and accurate approximations for complex PDE model problems.

My research goal is to tackle numerical difficulties in multiphysics and multiscale simulation by developing and applying efficient and robust numerical methods. My research focus currently includes solving coupled PDE problems describing fluid flow and reactive transport in porous media, such as Brinkman-Darcy flow coupled with transport, using efficient and robust FEMs. I am eager to expand my research interests and deepen my knowledge in the interdisciplinary field.

• Efficient and Robust Numerical Solvers for Fluid Dynamics

• Monotone Virtual Element Methods for Convection-Dominated Problems

• C0 Interior Penalty Methods for the Gao Beam Model

• Deep Neural Network for Singularity Detection

• Pollution Errors in the Wave Equation