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Xiaoming He

Assistant Professor

Department of Mathematics & Statistics

Missouri University of Science & Technology


Phone (office): 573-341-6208
Fax: 573-341-4741
Email: hex@mst.edu

 

 

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

 

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 CO2 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.

 


Journal Publications

  1. Chaolang Hu, Xiaoming He, and Tao . Euler-Maclaurin expansions and approximations of hypersingular integrals, Discrete and Continuous Dynamical Systems – Series B, accepted.

 

  1. 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.

 

  1. 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.

 

  1. 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.

 

  1. 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.

 

  1. 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.

 

  1. 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.

 

  1. 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.

 

  1. 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.

 

  1. 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.

 

  1. 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.

 

  1. 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.

 

  1. Huilei Han, Xiaoming He, Yaping Liu, and Tao . 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.

 

  1. 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.

 

  1. 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.

 

  1. 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.

 

  1. Lu Pan, Xiaoming He, and Tao . 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.

 

  1. Xiaoming He and Tao . A finite element splitting extrapolation for second order hyperbolic equations, SIAM Journal on Scientific Computing, 31(6):4244-4265, 2009.

 

  1. 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.

 

  1. Yong Cao, Xiaoming He, and Tao . A splitting extrapolation for solving nonlinear elliptic equations with d-quadratic finite elements, Journal of Computational Physics, 228(1): 109-122, 2009.

 

  1. 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.

 

  1. 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.

 

  1. Xiaoming He and Tao . 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

  1. 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.

 

  1. 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.

 

  1. 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.

 

  1. 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.

 

  1. 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.