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

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● Curriculum Vitae

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● 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)

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● 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)

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● Teaching

Fall 2013: Math 401(Experimental Course) – Numerical Analysis;

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

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● MICAMS Seminar (Missouri Institute for Computational and Applied Mathematical Sciences)

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● 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)

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● Funding

Department of Transportation, “NUTC/Reliability-based Optimization Design of Geosynthetic Reinforced Road Embankment”, May 2013 – December 2013, Ronaldo Luna (PI), Xiaoming He (Co-PI), total amount $16,052.

Department of Energy, DE-FE0009843, “Robust Ceramic Coaxial Cable Down-Hole Sensors for Long Term in Situ Monitoring of Geologic CO₂ Injection and Storage”, January 2013 – December 2015, Hai Xiao (PI), Xiaoming He (Co-PI) and Runar Nygaard (Co-PI), total amount $1,156,668.

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.

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● Publications

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, accepted. [PDF]

2. 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.

3. 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.

4. 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.

5. 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.

6. 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.

7. 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.

8. 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.

9. 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.

10. 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.

11. 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.

12. 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.

13. 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.

14. Lu Pan, Xiaoming He, 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.

15. 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.

16. 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.

17. 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.

18. 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.

19. 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.

20. 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.

21. 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.

22. 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.