Computational Mathematics, Numerical Solutions of Partial Differential Equations, Finite Element Method, Finite Volume Method, Scientific and Engineering Computing, Fuel Cell Dynamics, Complex Fluid Dynamics
My research interests focus on anisotropic adaptive finite element methods for dealing with large-scale and multi-scale phenomena (e.g. a complex physical system bearing boundary layers or sharp interfaces in an irregular multidimensional domain with complex boundary conditions). Some involved projects that are typically related to this direction are astronomy-black hole binary system, renewable energy-fuel cell dynamics, fluid dynamics-thin film flow, and Navier-Stokes-Darcy coupling flow. Currently, modeling and numerical studies for fuel cell dynamics are my main research interest, for which I am dedicated to developing an integrated multi-physics fuel cell model in the numerical efficiency’s point of view, and designing the efficient and robust numerical methods and software.
SEB Program Group: Center for Applied Math & Statistics