Research and Funding

Research Interests

Interface problems, multi-phase problems, computational fluid dynamics, computational plasma physic, data assimilation, stochastic PDEs, boundary integral equations, feedback control;

Finite element methods, domain decomposition methods, lattice Boltzmann methods, extrapolations.

Funding

  • National Science Foundation, DMS-2309733, “Collaborative Research: Models, algorithms, simulations and applications for dendritic solidifications of two-phase multi-component alloys in the mushy zone”, August 2023 – July 2026, Xiaoming He (PI), total amount for Missouri University of Science and Technology: $157,956, shared credit 100%. (The collaborative NSF grants for this collaborative research: DMS-2309731, Xiaofeng Yang (PI), University of South Carolina (leading institute of this collaborative research); DMS-2309732, Pengtao Yue (PI), Virginia Tech)
     
  • National Science Foundation, DMS-2152609, “Collaborative Research: Laboratory data enabled phase field modeling and data assimilation for coupled two-phase fluid flow and porous media flow”, August 2022 – July 2025, Xiaoming He (PI) and Baojun Bai (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-2152623, Leo Rebholz (PI), Clemson University)
     
  • National Science Foundation, DMS-2111039, “Collaborative Research: Lab-data-enabled modeling, numerical methods, and validation for a three-dimensional interface inverse problem for plasma-material interactions”, August 2021 – July 2025, Daoru Han (PI) and Xiaoming He (co-PI), total amount for Missouri University of Science and Technology: $169,156, shared credit 30%. (The collaborative NSF grant for this collaborative research: DMS-2110833, Xu Zhang (PI), Oklahoma State University (leading institute of this collaborative research))
     
  • National Science Foundation, DMS-1818642, “Collaborative Research: Models, algorithms, and simulations for two-phase ferrofluid flows in contact with a solid surface”, August 2018 – July 2022, 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 – July 2021, 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 CO2 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%.
     
  • National Science Foundation, DMS-2023264, “Midwest Numerical Analysis Day 2020”, April 2020 – March 2022, Xiaoming He (PI) and Jue Yan (Co-PI), total amount: $5,000.
     
  • 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 – May 2019, total amount: $24,119, sponsor amount: $10,000, 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.
     
  • Missouri University of Science and Technology, High Performance Computing Center Seed Grant, December 2023- June 2024, Xiaoming He (PI), total amount: $2,000.
     
  • Missouri University of Science and Technology, The Provost’s eFellows Grant, “Blended lectures (pre-recorded) and guided coding (in classroom) for Math 5602 (Mathematical Foundation of Finite Element Methods)”, August 2022 – July 2023, Xiaoming He (PI), total amount: $10,000.
     
  • Missouri University of Science and Technology, Educational Research Mini-Grant, “The conceptualized and interactive guided coding for Math 5601 (Introduction to Numerical Analysis)”, August 2021 – July 2022, Xiaoming He (PI), total amount: $2,500.
     
  • University of Missouri System, Course Sharing Grant, “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.
     
  • Missouri University of Science and Technology, Educational Research Mini-Grant, “Development of a conceptualized guided coding for the course of Mathematical Foundation of Finite Element Methods”, June 2014 – May 2015, Xiaoming He (PI), total amount: $4,732.
     
  • University of Missouri System, Course Sharing Grant, “Mathematical Foundation of Finite Element Methods”, June 2014 – May 2015, Xiaoming He (PI), total amount: $7,769.
     
  • Missouri Research Board Grant, “Parallel numerical methods for realistic coupled Stokes-Darcy model”, Xiaoming He (PI), January 2011 – January 2012, total amount $13,000.