Fengyan Li
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, 20032004
Research Areas:
 Localstructurepreserving discontinuous Galerkin methods; divergence cleaning techniques.
 Computational methods for Maxwell equations, magnetohydrodynamics (MHD) equations and HamiltonJacobi equations.
 Fast sweeping methods for static HamiltonJacobi 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 localstructurepreserving 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 divergencefree nonconforming finite element method for the reduced timeharmonic Maxwell equations, Mathematics of Computation , to appear.
 F. Li and C.W. Shu, Reinterpretation and simplified implementation of a discontinuous Galerkin method for HamiltonJacobi equations, Applied Mathematics Letters , v18 (2005), pp.12041209.
 F. Li and C.W. Shu, Locally divergencefree discontinuous Galerkin methods for MHD equations, Journal of Scientific Computing, v2223 (2005), pp.413442.
 B. Cockburn, F. Li and C.W. Shu, Locally divergencefree discontinuous Galerkin methods for the Maxwell equations, Journal of Computational Physics, v194 (2004), pp.588610.
 L.A. Ying and F. Li, Exterior Problem of the Darwin Model and its Numerical Computation, Mathematical Modelling and Numerical Analysis, v37 (2003), pp.515532.
Contact Information:
Fengyan Li
(518) 2763201
More info:
http://www.rpi.edu/~lif/
