Dr. Zhao has made important contributions to the devising and analysis of DG methods for partial differential equations arising from practical applications, which is indicated from her publications in top-tier journals including SIAM Journal on Numerical Analysis, SIAM Journal on Scientific Computing, IMA Journal of Numerical Analysis, and Computer Methods in Applied Mechanics and Engineering, etc.
Numerical Analysis and Scientific Computation
Numerical methods for PDEs
Flows in (fractured) porous media
Unfitted methods for muti-subdomain problem
Various aspects of polygonal methods including polygonal staggered discontinuous Galerkin method, VEM, polyDG and HHO methods
Deep learning for numerical PDEs