● Education
Ph.D. in Mathematics
Virginia Tech (08/05---05/09)
Advisor: Prof. Tao Lin
Dissertation: Bilinear Immersed Finite Elements For Interface Problems [Download from VT library]
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
Associate Professor
Department of Mathematics & Statistics
Missouri University of Science & Technology
(09/16---present)
Assistant Professor
Department of Mathematics & Statistics
Missouri University of Science & Technology
(08/10---08/16)
Postdoctoral research associate (supervised by Prof. Max
Gunzburger)
Department of Scientific Computing
Florida State University (05/09---08/10)
● Google
Scholar
● SIAM Central States Section
(Founding President)
● Missouri Institute for Computational and
Applied Mathematical Sciences
● Seminar of Missouri Institute for
Computational and Applied Mathematical Sciences (Co-organizer)
● Research Interests
Interface
problems, computational fluid dynamics, data assimilation, boundary integral
equations, feedback control, stochastic PDEs
Finite
element methods, domain decomposition methods, lattice Boltzmann methods,
extrapolations
Computational
plasma physics (Particle-In-Cell method)
● Award and Fellowship
Humboldt
Research Fellowship for Experienced Researchers, 2018.
Faculty
Research Award, Missouri University of Science and Technology, 2014.
● Funding
National Science Foundation,
DMS-1818642, “Collaborative Research: Models, algorithms, simulations, and
applications for two-phase ferrofluid flows in
contact with a solid surface”, August 2018 - September 2021, Xiaoming He (PI)
and Cheng Wang (Co-PI), total amount for Missouri University of Science and
Technology (leading institute of this collaborative research): $160,000, shared
credit 70%. (The collaborative NSF grant for this collaborative research:
DMS-1818783, Xiaofeng Yang (PI), University of South
Carolina)
National Science Foundation,
DMS-1722647, “Collaborative Research: Data-enabled modeling, numerical method,
and data assimilation for coupling dual porosity flow with free flow”, August
2017 - September 2020, Xiaoming He (PI), Baojun Bai (Co-PI), and Mingzhen Wei
(Co-PI), total amount for Missouri University of Science and Technology
(leading institute of this collaborative research): $180,000, shared credit
70%. (The collaborative NSF grant for this collaborative research: DMS-1722692,
Craig Douglas (PI), University of Wyoming)
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 $95,500, 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 –
June 2016, 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%.
NASA-EPSCoR,
“PIFE-PIC: A 3D Parallel Immersed-Finite-Element Particle-in-Cell Framework for
Kinetic Modeling of Plasma-Material Interaction”, Daoru Han (PI) and Xiaoming
He (Co-PI), October 2017 - September 2018, total amount: $20,000, shared credit
50%.
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)
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%.
AMS-Simons Travel Grant, July 2012 –
June 2014, Xiaoming He (PI), total amount $4,800.
University of Missouri, Course Sharing
Grant for “Finite element methods II”, May 2018 – May 2019, Xiaoming He (PI),
total amount $9,731.
Missouri Research Board Grant, “Coupling
dual porosity flow with free flow: modeling, numerical method, and data
assimilation”, Xiaoming He (PI), January 2017 - January 2018, total amount:
$11,200.
Missouri Interdisciplinary Intercampus
Research Grant, “Development and application of a hybrid material point and
immersed finite element method (MPM-IFE) to soil-water flow modeling
considering hydrophobicity”, August 2015 - July 2016, Zhiqiang
Chen (PI for UMKC), Xiaoming He (PI for Missouri S&T), total
amount: $59,399, amount for Missouri S&T: $25,000.
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”, July 2014 – June 2015, Xiaoming He (PI), total amount
$12,501.
Missouri Research Board Grant, “Parallel
numerical methods for realistic coupled Stokes-Darcy model”, Xiaoming He (PI),
January 2011 – January 2012, total amount $13,000.
● Editor
Associated
editor, International
Journal of Numerical Analysis and Modeling, 2016-present
Associated
editor, International Journal of Numerical Analysis and Modeling, Series B,
2013-2015
Guest editor, the special issue of Applied Numerical Mathematics
for the 20^{th} IMACS World Congress.
Managing guest editor, the special issue of Computers and Mathematics with
Applications for the 2^{nd} Annual Meeting of SIAM Central
States Section
Guest editor, the special issue of Discrete
and Continuous Dynamical Systems - Series B for the SIAM Central States
Section
Managing guest editor, the special issue of Journal of Computational and
Applied Mathematics for the 1^{st} Annual Meeting of SIAM
Central States Section
Guest editor, the special issue of International
Journal of Numerical Analysis and Modeling for 2013 International
Conference on Engineering and Computational Mathematics
●
Journal Publications
- Daoru Han, Joseph Wang, and Xiaoming He.
Immersed-finite-element particle-in-cell
simulations of plasma charging at lunar terminator, Journal of Spacecraft and Rockets,
DOI: 10.2514/1.A34002.
- Jin Lu, Botao
Zhou, Md. Motiur Rahman, and Xiaoming He. New solution to the pressure transient equation
in a two-layer reservoir with crossflow, Journal of Computational and Applied
Mathematics, DOI: 10.1016/j.cam.2018.05.065.
- Max Gunzburger,
Xiaoming He, and Buyang Li. On Ritz projection and multi-step backward
differentiation schemes in decoupling the Stokes-Darcy model, SIAM Journal on Numerical Analysis,
56(1): 397-427, 2018.
- Yali Gao, Xiaoming
He, Liquan Mei, and Xiaofeng
Yang. Decoupled, linear, and energy stable finite
element method for the Cahn-Hilliard-Navier-Stokes-Darcy
phase field model, SIAM
Journal on Scientific Computing, 40(1): B110-B137, 2018.
- Xiaoming He, Weiwei Hu, and Yangwen Zhang. Observer based feedback boundary stabilization of
the Navier-Stokes equation, Computer Methods in Applied Mechanics
and Engineering, 339(1): 542-556, 2018.
- Jinwei Bai, Yong Cao, Xiaoming He, Hongyan
Liu, and Xiaofeng Yang. Modeling and an immersed finite element method
for an interface wave equation, Computers and Mathematics with Application, 76(7):
1625-1638, 2018.
- Rui Li, Jian Li, Xiaoming He, and Zhangxin Chen. A stabilized finite volume element method for a
coupled Stokes-Darcy problem, Applied Numerical Mathematics, 133: 2-24, 2018.
- Qiumei Huang, Xiaofeng
Yang and Xiaoming He. Numerical approximations for a smectic-A liquid crystal flow model: first-order,
linear, decoupled and energy stable schemes, Discrete and Continuous Dynamical
Systems - Series B, 23(6): 2177-2192, 2018.
- Huijun Cao, Yong Cao, Yuchuan Chu, Xiaoming
He, and Tao Lin. A Huygens immersed-finite-element
particle-in-cell method for modeling plasma-surface interactions with
moving interface, Communications
in Nonlinear Science and Numerical Simulation, 59: 132-148, 2018.
- Xiaofeng Yang, Jia Zhao, and Xiaoming He. Linear, second order and unconditionally energy
stable schemes for the viscous Cahn-Hilliard equation with hyperbolic
relaxation using the invariant energy quadratization
method, Journal of
Computational and Applied Mathematics, 343(1):80-97, 2018.
- Feng Bai, Xiaoming He, Xiaofeng Yang, Ran Zhou, and Cheng Wang. Three dimensional phase-field investigation of
droplet formation in microfluidic flow focusing devices with experimental
validation, International
Journal of Multiphase Flow, 93: 130-141, 2017.
- Yuchuan Chu, Daoru Han, Yong Cao,
Xiaoming He, and Joseph Wang. An immersed-finite-element particle-in-cell
simulation tool for plasma surface interaction, International Journal of Numerical
Analysis and Modeling, 14(2): 175-200, 2017.
- Jiangyong Hou, Meilan
Qiu, Xiaoming He, Chaohua Guo,
Mingzhen Wei, and Baojun Bai. A dual-porosity-Stokes model and finite element
method for coupling dual-porosity flow and free flow, SIAM Journal on Scientific Computing,
38(5): B710–B739, 2016.
- Daoru Han, Pu Wang, Xiaoming He, Tao
Lin, and Joseph Wang. A 3D immersed finite element method with
non-homogeneous interface flux jump for applications in particle-in-cell
simulations of plasma-lunar surface interactions, Journal of Computational Physics,
321: 965-980, 2016.
- Daoru Han, Joseph Wang, and Xiaoming He.
A non-Homogeneous immersed-finite-element
particle-in-cell method for modeling dielectric surface charging in
plasmas, IEEE
Transactions on Plasma Science, 44(8):1326-1332, 2016.
- John A. Burns, Xiaoming He, and Weiwei
Hu. Feedback stabilization of a thermal fluid system
with mixed boundary control, Computers and Mathematics
with Application, in honor of Max Gunzburger's
70th birthday, 71(11): 2170–2191, 2016.
- Xiaoming He, Jian Li, Yanping Lin, and Ju Ming. A domain decomposition method for the
steady-state Navier-Stokes-Darcy model with
Beavers-Joseph interface condition, SIAM Journal on Scientific Computing, 37(5): S264–S290,
2015.
- 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.
- Honghua Jian, Yuchuan
Chu, Huijun Cao, Yong Cao, Xiaoming He, and Guangqing Xia. Three-dimensional IFE-PIC numerical simulation of
background pressure's effect on accelerator grid impingement current for
ion optics, Vacuum,
116: 130-138, 2015.
- Chong Chen, Xiaoming He, and Jin Huang. Mechanical quadrature methods and their
extrapolations for solving the first kind boundary integral equations of
Stokes equation, Applied
Numerical Mathematics, 96: 165-179, 2015.
- Chaolang Hu, Xiaoming He, and Tao Lü. Euler-Maclaurin expansions and approximations of hypersingular integrals, Discrete
and Continuous Dynamical Systems, Series B, 20(5): 1355-1375,
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 David Russell’s 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.
- 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.
- Xiaoming He, Tao Lin, and
Yanping Lin. A bilinear immersed finite volume element method
for the diffusion equation with discontinuous coefficient, dedicated to Richard E. Ewing on the occasion
of his 60th birthday, Communications in
Computational Physics, 6(1): 185-202, 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
- Daoru Han, Xiaoming He,
Joseph Wang. PIFE-PIC: A 3-D parallel immersed finite element
particle-in-cell framework for plasma simulations,
#AIAA-2018-2196,
Proceeding of 2018 AIAA Aerospace Sciences Meeting, Kissimmee,
Florida, January 8-12, 2018.
- Chaohua
Guo, Jiaqi Wang,
Baojun Bai, Xiaoming He, and Mingzhen Wei. Multi-stage fractured horizontal well numerical
simulation and its application in tight shale reservoirs,
SPE-176714, Society of Petroleum Engineers, SPE Russian Petroleum
Technology Conference, Moscow, Russia, October
26–28, 2015.
- 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, 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, Montréal,
Canada, June 27-29, 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, Dalian, China, June 13-16, 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 2019: Math 6001 – Mathematical Foundation of Finite
Element Methods II; Math 6601 – Numerical Analysis
Fall 2018: Math
6602 – Mathematical Foundation of Finite Element Methods; Math 3304
- Elementary Differential Equations
Fall 2017: Math 6601 – Numerical Analysis; Math 6001 – Topics
in Partial Differential Equations
Spring 2017: Math 6602 – Mathematical Foundation of Finite
Element Methods; Math 3304 - Elementary Differential Equations
Fall 2016: Math 6601 – Numerical Analysis; Math 3304 -
Elementary Differential Equations
Spring 2016: Math 6602 – Mathematical Foundation of Finite
Element Methods; Math 5325 - Partial Differential Equations
Fall 2015: Math 6601 – Numerical Analysis; Math 3304 -
Elementary Differential Equations
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