معرفی
Shangyou Zhang is an Associate Professor in the Department of Mathematical Sciences at the University of Delaware, affiliated with the College of Arts & Sciences. He holds a B.S. from the University of Science and Technology of China and a Ph.D. from The Pennsylvania State University. His research focuses on finite element methods, numerical analysis, and computational mathematics, with an emphasis on constructing and analyzing finite elements for partial differential equations, including superconvergence and error analysis. He has contributed extensively to the development of conforming and nonconforming elements for various equations such as the Stokes, biharmonic, and Maxwell equations, with a particular interest in divergence-free and H(div)-conforming elements. His work bridges theoretical analysis and practical numerical methods, addressing challenges in mesh adaptivity, stabilization, and high-order accuracy.
- Education: B.S. (USTC), Ph.D. (Penn State)
- Affiliations: University of Delaware, Department of Mathematical Sciences
Research interests include finite element methods for PDEs, superconvergence, and numerical solutions of fluid dynamics and elasticity. Recent work emphasizes weak Galerkin methods, HDG schemes, and stabilized finite elements for complex geometries. His publications span topics like C1-Pk elements, divergence-free discretizations, and error estimates for mixed formulations.
Publications highlight contributions to high-order elements, locking-free plate models, and robust discretizations for singular perturbations. Teaching includes computational mathematics courses such as MATH 426 (Spring 2025).
