Research
 My primary fields of research are Numerical Analysis and
Scientific and Engineering Computing. More specifically, my work is on
the analysis and design of algorithms in the following areas:
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Anisotropic mesh adaptation and adaptive finite
element methods.
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Fuel cell modeling.
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Phase field methods.
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Numerical solution of partial differential equations.
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Domain decomposition methods with non-matching grids.
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Numerical solution of integro-differential equations.
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Computation and Software design.
My research interests focus on computational methods for
handling large-scale and multiscale phenomena, e.g., for physical
solutions having boundary layers or sharp interfaces on irregular
domains in multiple
spatial dimensions that involve complex boundary
conditions. Applications focus of my research is widespread and includes
the following practical problems:
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Convection dominated PDEs.
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A fourth order thin film flow problem with moving
contact lines.
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An extreme-mass-ratio binary system arising from a
black hole problem.
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Numerical models of fuel cell dynamics.
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Two-phase flow problems.
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Navier-Stokes equations.
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Elasticity and plasticity mechanics problems.
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Multiphase compressible displacement in porous media.
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Integro-differnential equation arising in population
dynamics.
Grants
NSF
Grant DMS-0913757 (PI),
“Efficient numerical techniques of
two-phase transport model in the cathode of hydrogen polymer
electrolyte fuel cell”, 9/15/2009
– 8/31/2012.
UNLV Research Grant, RDA 08–Sun
(PI), The Research Development Award,
“High Performance Numerical Simulation on 3D Direct Methanol
Fuel Cell (DMFC) Modeling”, 7/18/2008 – 7/31/2009.
Collaborators
Jinchao Xu
Chun Liu
Qing Nie
Chao-yang Wang
Su Zhou
Long Chen
Affiliations
Center for Applied Mathematics and Statistics
The Electrochemical Engine
Center (ECEC)
Center for Computational Mathematics and Applications
College of Automotive
Engineering, Tongji University
SIAM
ASME |
