● Education
Ph.D. in Mathematics
Virginia Tech (08/05---05/09)
Advisor: Prof. Tao Lin
Dissertation: Bilinear Immersed Finite Elements For Interface Problems [Download]
M. S. in Mathematics
Virginia Tech (08/05---05/07)
Advisor: Prof. Tao Lin
M. S. in Computational Mathematics
Sichuan University (08/02---06/05)
Advisor: Prof. Tao Lü
B. S. in Computational Mathematics
Sichuan University (08/98---06/02)
●
Positions
Assistant Professor
Department of Mathematics &
Statistics
Missouri University of Science
& Technology (08/10---present)
Postdoctoral research associate
(supervised by Prof. Max Gunzburger)
Department of Scientific Computing
Florida State University
(05/09---08/10)
●
Teaching
Spring 2014: Math
401 (Experimental Course) – Mathematical Foundation of Finite Elements;
Math 204 - Elementary Differential Equations
Fall 2013: Math
401(Experimental Course) – Numerical Analysis; Math 204 - Elementary
Differential Equations
Spring 2013: Math 401 (Experimental
Course) – Mathematical Foundation of Finite Elements
Fall 2012: Math 401(Experimental Course) – Numerical
Analysis; Math 204 - Elementary Differential Equations
Spring 2012: Math 325 - Partial
Differential Equations; Math 204 - Elementary Differential Equations
Fall 2011: Math 325 - Partial
Differential Equations; Math 204 - Elementary Differential Equations
Spring 2011: Math 204 - Elementary
Differential Equations
Fall 2010: Math 204 - Elementary
Differential Equations
● MICAMS
Seminar (Missouri Institute for Computational and Applied
Mathematical Sciences)
● Research Interests
Interface problems, computational
fluid dynamics, stochastic PDEs, nonlinear PDEs, boundary integral equations,
feedback control
Finite element methods, domain
decomposition methods, extrapolations
Computational electromagnetic and simulations
for charging in space (Particle-In-Cell method)
● Funding
Department of
Transportation, “NUTC/Reliability-based Optimization Design of Geosynthetic
Reinforced Road Embankment”, May 2013 – December 2013, Ronaldo Luna (PI) and
Xiaoming He (Co-PI), total amount $16,052, shared credit 50%.
Department of
Energy, DE-FE0009843, “Robust Ceramic Coaxial Cable Down-Hole Sensors for Long
Term in Situ Monitoring of Geologic CO_{2} Injection and Storage”,
October 2012 – September 2015, Runar Nygaard (PI), Hai Xiao (Co-PI), and Xiaoming He (Co-PI), total amount
$1,447,193, sponsor amount $1,156,668, shared credit 30%.
AMS-Simons
travel grant, July 2012 - June 2014, Xiaoming He (PI), total amount $4,800.
Missouri
research board grant, “Parallel Numerical Methods for Realistic Coupled
Stokes-Darcy Model”, Xiaoming He (PI), January 2011 - January 2012, total
amount $13,000.
● Editorial Board
International
Journal of Numerical Analysis & Modeling, Series B
●
Publications
- Yanzhao Cao, Max Gunzburger, Xiaoming
He, and Xiaoming Wang. Parallel, non-iterative, multi-physics domain
decomposition methods for time-dependent Stokes-Darcy systems, Mathematics of Computation,
accepted. [PDF]
2. Chaolang Hu, Xiaoming He, and Tao Lü.
Euler-Maclaurin expansions and approximations of hypersingular integrals, Discrete
and Continuous Dynamical Systems – Series B, accepted. [PDF]
- Xiaoming He, Tao Lin, and Yanping Lin. A selective immersed discontinuous Galerkin
method for elliptic interface problems, Mathematical Methods in the Applied Sciences, accepted.
- Chaohua Guo, Mingzhen Wei, Haowei Chen,
Xiaoming He, and Baojun Bai. Improved numerical simulation for shale gas
reservoirs, OTC-24913, Offshore
Technology Conference Asia, Kuala Lumpur, Malaysia, March 25–28,
2014.
- Wenqiang
Feng, Xiaoming He, Yanping Lin, and Xu Zhang. Immersed
finite element method for interface problems with algebraic multigrid
solver, Communications in Computational Physics,
15(4): 1045-1067, 2014.
- Chaohua Guo, Baojun Bai, Mingzhen Wei,
Xiaoming He, and Yushu Wu. Study on gas flow in nano pores of shale gas
reservoirs, SPE-167179, Society of Petroleum Engineers, SPE Unconventional Resources
Conference-Canada, Calgary, Alberta, Canada, November 5-7, 2013.
- Yong Cao, Yuchuan Chu, Xiaoming He, and
Mingzhen Wei. Decoupling the stationary Navier-Stokes-Darcy
system with the Beavers-Joseph-Saffman interface condition, Abstract and Applied Analysis,
vol. 2013, Article ID 136483, 10 pages, 2013.
- Xiaoming
He, Tao Lin, Yanping Lin, and Xu Zhang. Immersed finite element methods for parabolic
equations with moving interface, Numerical Methods for
Partial Differential Equations, 29(2): 619-646, 2013.
- John A. Burns, Xiaoming He, and Weiwei Hu. Control of the Boussinesq equations with
implications for sensor location in energy efficient building, Proceedings
of American Control Conference, pp. 2232-2237, 2012.
- Chaolang Hu, Jing Lu, and Xiaoming He. Productivity formulae of an infinite-conductivity
hydraulically fractured well producing at constant wellbore pressure based
on numerical solutions of a weakly singular integral equation of the first
kind, Mathematical
Problems in Engineering,
vol. 2012, Article ID 428596,
18 pages, 2012.
- Wenqiang Feng, Xiaoming He, Zhu Wang,
and Xu Zhang. Non-iterative domain decomposition methods for a
non-stationary Stokes-Darcy model with Beavers-Joseph interface condition,
Applied Mathematics and
Computation, 219(2): 453-463, 2012.
- Xiaoming He, Tao Lin,
and Yanping Lin. The convergence of
the bilinear and linear immersed finite element solutions to interface
problems, Numerical Methods for Partial
Differential Equations, 28(1): 312-330, 2012.
- Jin Huang, Guang Zeng, Xiaoming He, and
Zicai Li. Splitting extrapolation algorithms for first kind
boundary integral equations with singularities by mechanical quadrature
methods, Advances in Computational Mathematics, 36(1): 79-97, 2012.
- Yanzhao Cao, Max Gunzburger, Xiaoming
He, and Xiaoming Wang. Robin-Robin domain decomposition methods for the
steady-state Stokes-Darcy system with the Beaver-Joseph interface
condition, Numerische Mathematik, 117(4): 601-629,
2011.
- Yuchuan
Chu, Yong Cao, Xiaoming He, and Min Luo. Asymptotic boundary conditions for two-dimensional
electrostatic field problems with immersed finite elements, Computer
Physics Communications,
182(11): 2331-2338, 2011.
- Huilei Han, Xiaoming He, Yaping Liu, and
Tao Lü. Extrapolation for solving system of weakly
singular nonlinear Volterra integral equations of the second kind,
International Journal of Computer Mathematics, 88(16): 3507-3520, 2011.
- Xiaoming He, Tao Lin,
and Yanping Lin. Immersed finite
element methods for elliptic interface problems with non-homogeneous jump
conditions, International
Journal of Numerical Analysis and Modeling, 8(2): 284-301,
2011.
- Yong
Cao, Xiaoming
He, and Tao Lü. An algorithm using finite volume element method
and its splitting extrapolation for second-order elliptic problems, Journal
of Computational and Applied Mathematics, 235(13): 3734-3742,
2011.
- Xiaoming He, Tao Lin
and Yanping Lin. Interior penalty
discontinuous Galerkin methods with bilinear IFE for a second order
elliptic equation with discontinuous coefficient, dedicated to Professor David Russell on
the occasion of his 70th birthday, Journal of Systems Science and Complexity, 23(3): 467-483,
2010.
- Lu Pan, Xiaoming He, and Tao Lü. High accuracy combination methods for solving the
systems of nonlinear Volterra integral and integro-differential equations
with weakly singular kernels of the second kind, Mathematical Problems in Engineering,
vol. 2010, Article ID 901587, 21 pages, 2010.
- Huilei
Han, Yaping Liu, Tao Lü,
and Xiaoming He. New Algorithm for the system of nonlinear weakly singular
Volterra integral equations of the second kind and integro-differential
equations, Proceedings of the
Seventh International Conference on Scientific Computing and Applications,
pp. 1229-1235, 2010.
- Xiaoming
He and Tao Lü. A finite element splitting extrapolation for
second order hyperbolic equations, SIAM Journal on Scientific
Computing, 31(6):4244-4265, 2009.
- Xiaoming
He, Tao Lin, and Yanping Lin. A bilinear immersed finite volume element method
for the diffusion equation with discontinuous coefficient, dedicated to Professor Richard E. Ewing on the
occasion of his 60th birthday, Communications
in Computational Physics, 6(1): 185-202, 2009.
- Yong
Cao, Xiaoming He, and Tao Lü. A splitting extrapolation for solving nonlinear
elliptic equations with d-quadratic finite elements, Journal
of Computational Physics, 228(1): 109-122, 2009.
- Joseph
Wang, Xiaoming He, and Yong Cao. Modeling electrostatic levitation of dusts on
lunar surface, IEEE Transactions on Plasma Science,
36(5): 2459-2466, 2008.
- Xiaoming
He, Tao Lin, and Yanping Lin. Approximation capability of a bilinear immersed
finite element space, Numerical Methods for Partial
Differential Equations, 24(5):1265-1300, 2008.
- Joseph
Wang, Xiaoming He, and Yong Cao. Modeling spacecraft charging and charged
dust particle interactions on lunar surface, Proceedings of the 10th
Spacecraft Charging Technology Conference, 2007.
- Xiaoming
He and Tao Lü. Splitting extrapolation method for solving
second-order parabolic equations with curved boundaries by using domain
decomposition and d-quadratic isoparametric finite elements, International
Journal of Computer Mathematics, 84(6): 767 -781, 2007.