Computational PDEs

Yimin was a PhD candidate under the supervision of Prof. Christoph Lehrenfeld. His research focused on high-order numerical methods and analysis for geometrically coupled PDEs on time-dependent manifolds with mean curvature flow.

Research interests

  • Isoparametric unfitted finite element discretization on level-set domains
  • Numerical methods for PDEs on evolving surfaces
  • Nonlinear coupling between geometric flow and PDE solutions posed on evolving geometry
  • Applications: osmotic swelling of biological cells, two-phase bubble flows