My interests of research are in numerical analysis and scientific computing. Specifically my interests are related to numerical solution of partial differential equations. During my Ph.D., my main research focus was on designing and analyzing high efficient post-processing techniques for finite element methods. I have been working on recovery techniqes including gradient recovery and Hessian recovery for both conofroming and nonconforming fintie element methods.
Now I working on designing some new finite element methods for higher order partial differential equations and superconvergence analysis for wave equations.