Structure-Preserving Methods
Discretizations that preserve mass, energy, and dissipation laws in nonlinear PDEs.
Research
Research
My research concerns numerical analysis and scientific computing for partial differential equations.
Research topics
Research Topics
Low-Regularity Methods
Stable numerical methods for PDEs with rough data and weak regularity.
Finite Element & Moving Interface Methods
Finite element and ALE methods for incompressible flow and evolving interfaces.
Meshfree & Kernel Methods
Flexible meshfree and kernel approximation methods for scientific computing.
Research projects
Research Projects
Long-time structure-preserving numerical methods and analysis for the incompressible Navier–Stokes equations
- Sponsor
- National Natural Science Foundation of China, Young Scientists Fund (Category C)
- Funding
- RMB 300,000
- Role
- Principal Investigator
- Period
- 2027–2029
High-order ALE interface tracking methods for two-phase flows and their application to bubble drag reduction
- Sponsor
- Guangdong Basic and Applied Basic Research Foundation
- Funding
- RMB 100,000
- Role
- Principal Investigator
- Period
- 2026–2028
Conference on Modern Kernel Methods and Applications
- Sponsor
- Hong Kong Baptist University, International Activities Programme
- Funding
- HK$100,000
- Role
- Principal Investigator
- Period
- 2025–2026
High-accuracy numerical methods for viscous shallow water equations
- Sponsor
- National Natural Science Foundation of China, General Program
- Funding
- RMB 510,000
- Role
- Participant
- Period
- 2021–2024