Research
Research Interest
- Numerical Analysis, Scientific Computing with Applications
in Fluid
Dynamics, Acoustic, Electromagnetic Field and Parallel
Algorithms for
Scientific Computing.
- Spectral Method, Spectral Element Method, Spectral Element
Discontinuous Galerkin Method, Finite Element Method,
Multi-grid Method.
Research Experience
-
Givens Associate (Summer internship), Argonne National
Laboratory, June - Aug. 2012
- Supervisor: Dr. Misun Min, Computational Scientist, MCS
Division, ANL
- Accomplishment: Developed Schrodinger solver based on
spectral element discontinuous Galerkin approach, and
Helmholtz solver based on DtN technique with spectral element
approach, into the
petascale solver NekCEM.
-
Research Assistant, Purdue University, Jan. 2010 - present
- Working in Prof. Jie Shen’s research group, developing high order
numerical methods for acoustic
and electromagnetic scattering problems, and nonlinear fluid-structure
interaction problems.
- Cooperating closely with Prof. Peijun Li at Purdue University, Prof.
David Nicholls at UIC and
Dr. Misun Min at MCS Division, ANL.
Presentations
SIAM Conference on Computational Science & Engineering (CSE13),
The Westin Boston Waterfront,
Boston, Massachusetts, February 25-March 1, 2013
Applied
Mathematics Seminar, University of Illinoil, Chicago, Nov.
28, 2012
8th
International Conference on Scientific Computing and Applications, Universtiy of
Nevada, Las Vegas April 1-4,2012
Midwest
Numerical Analysis Day 2011, Purdue Universidy, May 7-8, 2011
Publications and Preprints
Ying He, David Nicholls and J. Shen. An Efficient and Stable
Spectral Method for Electromagnetic Scattering from a Layered Periodic
Structure.Journal of Computational Physics, Volume 231, Number
8, 3007-3022, (2012)
Ying He, Peijun Li and J. Shen. A New Spectral Method
for Numerical Solution of the Unbounded Rough Surface
Scattering Problem. SIAM J. Numer. Anal., submitted, 2012
(Preprint, with Jie Shen) A pressure-correction
projection method for non-linear no-slip fluid structure problem.
(Preprint, with Jie Shen) Spectral methods for
non-linear free boundary fluid structure problem