● 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)
● SIAM Central States Section
(President)
● The 1^{st} Annual
Meeting of SIAM Central States Section (Committee Chair)
● Seminar of Missouri Institute for
Computational and Applied Mathematical Sciences (Co-organizer)
● 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
National Science Foundation,
DMS-1418624, “Non-Iterative Multi-Physics Domain Decomposition Method for the Navier-Stokes-Darcy Model”, September 2014 - August 2017,
Xiaoming He (PI) and Mingzhen Wei (Co-PI), total amount $90,000, shared credit
80%.
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%.
Simons Foundation, Collaboration Grant for
Mathematicians, “Numerical Methods and
Mathematical Analysis for Interface Problems”, September 2014 – August 2019, Xiaoming He (PI), total amount
$35,000. (This grant needs to be returned to Simons Foundation before September
2015 since the PI is funded by NSF)
Missouri Research Board Grant, “Novel Numerical Methods for A Moving
Interface Problem”,
Xiaoming He (PI), August 2014 – July 2015, total amount $10,000.
University of Missouri, Course Sharing
Grant and Educational Research Grant for “Mathematical Foundation of Finite
Element Methods”, August 2014 – May 2015, Xiaoming He (PI), total amount
$12,501.
AMS-Simons Travel Grant, July 2012 –
June 2014, Xiaoming He (PI), total amount $4,800.
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%.
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 and Modeling, Series B
●
Journal Publications
- Chaolang Hu, Xiaoming He, and Tao Lü. Euler-Maclaurin
expansions and approximations of hypersingular
integrals, Discrete and Continuous Dynamical Systems, Series B,
accepted.
- Yong Cao, Yuchuan
Chu, Xiaoming He, and Tao Lin. An iterative immersed finite element method for
an electric potential interface problem based on given surface electric
quantity, Journal of
Computational Physics, 281: 82-95, 2015.
- 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,
83(288): 1617-1644, 2014.
- Xiaoming He, Tao Lin, and Yanping Lin. A selective immersed discontinuous Galerkin method for elliptic interface problems,
Mathematical Methods in the
Applied Sciences, 37(7): 983–1002, 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.
- Chaolang Hu, Jing Lu, and Xiaoming He. Numerical solutions of a hypersingular
integral equation with application to productivity formulae of horizontal
wells producing at constant wellbore pressure, International Journal of Numerical
Analysis and Modeling, Series B, 5(3): 269-288,
2014.
- 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.
- 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.
- 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.
- 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.
●
Conference Publications
- Daniel Depew, Daoru Han, Joseph Wang, Xiaoming He, and Tao Lin.
Immersed-Finite-Element Particle-In-Cell simulations of lunar surface
charging, #199, Proceedings of the 13th Spacecraft Charging
Technology Conference, Pasadena, California, June
23-27, 2014.
- 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.
- 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.
- 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.
- 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.
- 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, Biarritz, France, June
18-21, 2007.
●
Teaching
Spring 2015: Math
6602 – Mathematical Foundation of Finite Element Methods
Fall 2014: Math 5325 - Partial Differential Equations; Math
3304 - Elementary Differential Equations
Spring 2014: Math 401 (Experimental Course) – Mathematical
Foundation of Finite Element Methods; 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 Element Methods
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