Computational Mathematics | Finite Elements | Meshfree Methods

Yizhong Sun

Postdoctoral Researcher in Computational Mathematics at Hong Kong Baptist University.

My research focuses on finite element and meshfree methods for partial differential equations, with emphasis on interface-coupled multiphysics, scalable solvers, and PDEs on curved surfaces and thin shells.

Publications Google Scholar CV

About Me

I am a postdoctoral researcher in the Department of Mathematics at Hong Kong Baptist University, hosted by Prof. Leevan Ling. My work combines numerical analysis, scalable algorithms, and reproducible scientific computing for partial differential equations.

My research spans stable and scalable finite element methods for interface-coupled multiphysics problems, including Stokes–Darcy, free-flow–poroelasticity, and FSI/ALE formulations, as well as meshfree strong-form discretizations for PDEs on curved surfaces and thin shells, including RBF collocation and RBF-FD methods.

Research Highlights

Appointments

Education

Visiting Experience

Conference Organization

• Organizing Committee: Conference on Modern Kernel Methods and Applications, on the occasion of Robert Schaback’s 80th birthday, Hong Kong, 2026.
• Special Session Organizer: The 15th AIMS Conference, SS163: Mathematical Modeling of Multiphysics Coupled Systems – Models, Algorithms, and Scalable Computing, Athens, Greece, 2026.

Selected Presentations

• Invited Talk: Constructive Functions 2025, Nashville, US. Trajectory-Based RBF Collocation Method via Closest-Point Embedding for Surface Advection–Diffusion Equations.
• Selected Invited Talks in China: The 13th National Conference on Computational Mathematics (2023), the 20th Symposium on Numerical Methods in Fluid Mechanics (2023), Shanghai Jiao Tong University (2023), Xinjiang University (2024), and Harbin Institute of Technology (2021).

Awards and Service

• Outstanding Ph.D. Thesis Award (2024), East China Normal University.
• Project Leader, Doctoral Student Innovation Ability Enhancement Program, East China Normal University (2021–2022), Grant YBNLTS2021-041, RMB 30,000. Project: Domain-decomposition algorithms for multi-region and multiphysics coupled natural-convection models.
• Journal referee for Journal of Computational Physics, Journal of Computational and Applied Mathematics, Applied Mathematics Letters, Applied Numerical Mathematics, International Journal for Numerical Methods in Engineering, Numerical Algorithms, and ZAMM.

Technical Skills

• Finite element and meshfree PDE solvers: FreeFEM++, Python/FEniCS, MATLAB, domain decomposition, Nitsche methods, RBF collocation, RBF-FD, and point-cloud surface operators.
• Geometry, meshing, and vascular workflows: CAD basics, Gmsh, and SimVascular for surface/volume mesh generation and preprocessing.

Publications

Journal Articles

1. Xiaobin Li, Leevan Ling, Yizhong Sun*. Trajectory-Based RBF Collocation Method via Closest-Point Embedding for Surface Advection–Diffusion Equations. Accepted, SIAM Journal on Scientific Computing (2026).

2. Chunchi Liu, Yao Rong*, Yizhong Sun*, Jiaping Yu, Haibiao Zheng. Multi-Level Monte Carlo Ensemble Domain Decomposition Method for the Random Stokes–Darcy Models with Uncertain Parameters. Journal of Computational Physics, 556, 114800 (2026).

3. Shihan Guo, Yizhong Sun, Yifan Wang*, Xiaohe Yue, Haibiao Zheng. A fully parallelizable loosely coupled scheme for fluid-poroelastic structure interaction problems. SIAM Journal on Scientific Computing, 47(4), B951–B975 (2025).

4. Ziwei Liu, Li Shan*, Yizhong Sun, Haibiao Zheng. SAV decoupled ensemble algorithm for the dual-porosity–Stokes model with uncertainty quantification. Numerical Methods for Partial Differential Equations, 41, e70037 (2025).

5. Chunchi Liu, Yizhong Sun*, Jiaping Yu. SAV unconditional stable estimate of parallel decoupled stabilized finite element algorithm for the fully mixed Stokes–Darcy problems. Applied Mathematics Letters, 162, 109393 (2025).

6. Zheng Li, Feng Shi, Yizhong Sun*, Yuhong Zhang, Haibiao Zheng. Parallel domain decomposition method for the fully-mixed Stokes–dual-permeability fluid flow model with Beavers–Joseph interface conditions. Communications in Computational Physics, 36(2), 551–580 (2024).

7. Yizhong Sun, Jiangshan Wang*, Haibiao Zheng. Novel partitioned time-stepping algorithms for fast computation of random interface-coupled problems with uncertain parameters. Numerical Mathematics: Theory, Methods and Applications, 17(1), 145–180 (2024).

8. Feng Shi, Yizhong Sun*, Haibiao Zheng*. Ensemble domain decomposition algorithm for the fully-mixed random Stokes–Darcy model with the Beavers–Joseph interface conditions. SIAM Journal on Numerical Analysis, 61, 1482–1512 (2023).

9. Yizhong Sun, Weiwei Sun, Haibiao Zheng*. Domain decomposition method for the fully-mixed Stokes–Darcy coupled problem. Computer Methods in Applied Mechanics and Engineering, 374, 113578 (2021).

10. Yizhong Sun, Feng Shi, Haibiao Zheng*, Heng Li, Fan Wang. Two-grid domain decomposition methods for the coupled Stokes–Darcy system. Computer Methods in Applied Mechanics and Engineering, 385, 114041 (2021).

11. Jiaping Yu, Yizhong Sun, Feng Shi*, Haibiao Zheng. Nitsche’s type stabilized finite element method for the fully mixed Stokes–Darcy problem with Beavers–Joseph conditions. Applied Mathematics Letters, 110, 106588 (2020).

Preprints

1. Xiaobin Li, Leevan Ling, Yizhong Sun*. Local Regularity Estimation through Sobolev-Scale Norm Profile. arXiv:2601.20207 (2026).

2. Zijuan Xin, Chenyao Wang, Feng Shi, Yizhong Sun*. PINN-Based Kolmogorov–Arnold Networks with RAR-D Adaptive Sampling for Solving Elliptic Interface Problems. arXiv:2602.01876 (2026).