Associate Professor of Mathematical Sciences

Education:

Ph.D in Applied Mathematics, Brown University, 2004
B.S and M.S. in Computational Mathematics, Peking University, 1997 and 2000

Career Highlights:

NSF CAREER Award, 2009
Alfred P. Sloan Research Fellow, 2008
Stella Dafermos Award, Brown University, 2004
Simon Ostrach Fellowship, Brown University, 2003-2004

Research Areas:

• Local-structure-preserving discontinuous Galerkin methods; divergence cleaning techniques.
• Computational methods for Maxwell equations, magnetohydrodynamics (MHD) equations and Hamilton-Jacobi equations.
• Fast sweeping methods for static Hamilton-Jacobi equations.
• Other high order numerical methods (weighted ENO methods, spectral methods) for hyperbolic conservation laws; computational fluid dynamics.

Selected Publications:

• F. Li and C.-W. Shu, A local-structure-preserving local discontinuous Galerkin method for the Laplace equation, Methods and Applications of Analysis, to appear.

• S. C. Brenner, F. Li and L.-Y. Sung, A locally divergence-free nonconforming finite element method for the reduced time-harmonic Maxwell equations, Mathematics of Computation , to appear.

• F. Li and C.-W. Shu, Reinterpretation and simplified implementation of a discontinuous Galerkin method for Hamilton-Jacobi equations, Applied Mathematics Letters , v18 (2005), pp.1204-1209.

• F. Li and C.-W. Shu, Locally divergence-free discontinuous Galerkin methods for MHD equations, Journal of Scientific Computing, v22-23 (2005), pp.413-442.

• B. Cockburn, F. Li and C.-W. Shu, Locally divergence-free discontinuous Galerkin methods for the Maxwell equations, Journal of Computational Physics, v194 (2004), pp.588-610.

• L.-A. Ying and F. Li, Exterior Problem of the Darwin Model and its Numerical Computation, Mathematical Modelling and Numerical Analysis, v37 (2003), pp.515-532.

Contact Information:

Fengyan Li
(518) 276-3201

More info:

http://www.rpi.edu/~lif/