|
|
|
|
|
Research Interests
I am broadly interested in computational and applied mathematics. My recent research interests include:
- developing high-order accurate numerical schemes for solving
partial differential equations;
- scientific computing;
- mathematical modeling;
- and machine learning.
I am currently working on:
- developing discontinuous Galerkin finite element methods, finite volume methods and finite element methods for solving PDEs (e.g., Euler equations,
Navier-Stokes equations, MHD equations and Cahn-Hilliard equation),
and PDEs on manifold;
- developing numerical methods for solving fluid-structure interaction problems;
- developing discrete and continuous models and multiscale models for problems arising from physics and biology,
e.g., blood thrombus (clot) formation, blood cell dynamics, bio-gel, and bacterial swarming;
- developing thermodynamically consistent phase-field models for multiphase fluid flow;
- and developing neural-network-based methods for solving PDEs.
- Clot (geomview files)
|