Dr. Xu Zhang
Assistant Professor of Mathematics
Research interests: Numerical methods for partial differential equations, finite element methods.
Author Profile on MathSciNet
Author Profile on Google Scholar
My research concerns numerical methods for partial differential equations. Recently, I've been working on immersed finite element (IFE) methods for interface problems, including the following aspects.
- Algorithm Development: develop numerical schemes for interface problems.
- Error Analysis: a priori, a posteriori error estimation, superconvergence analysis.
- Implementation: write codes and numerically test our algorithms.
- Application: apply our numerical schemes for experiments in other disciplines.