Research Interests

My research is in the area of numerical analysis, developing and analyzing numerical approximation and efficient solvers for linear/nonlinear PDEs. In particular, I have been working on

  • Adaptive Finite Element Methods
  • Multigrid/Multilevel Preconditioning Techniques
  • Discontinuous Galerkin Methods
  • Nonlinear Partial Differential Equations
  • Solvers for Maxwell Equation and Mixed Methods
  • Virtual Element methods, Weak Galerkin Methods
My current research focuses on the (adaptive) finite element analysis for nonlinear elliptic PDEs, as well as developing robust and efficient solvers for the linear/nonlinear systems arising from the finite element discretizations. For more details, please check my publications: