Aimé Fournier

Student hours: by appointment in person or by Zoom.

Member of the Center for Computational Mathematics.

Other research Interests and Applications:

carbon sequestration, general relativity, geothermal energy, machine learning, uncertainty quantification, wellbore environmental compliance.

Recent Publications:

• Fournier, Clerget, Bharadwaj, Merciu, Skår “A seismoelectric inverse problem with well-log data and borehole-confined acquisition”, SEG 89th Annual Meeting, 2019.
• H Wang, M Fehler & A Fournier “Assessing leak paths in the cement sheath of a cased borehole by analysis of monopole wavefield modes”, Communications in Computational Physics, 28, 424-441, 2020.
• P Bharadwaj, C Meng, A Fournier, L Demanet & M Fehler “Redshift of earthquakes via focused blind deconvolution of teleseisms”, Geophysical Journal International, 223, 1864–1878, 2020.
• R. Chadwick Holmes & A Fournier "Machine learning-enhanced play fairway analysis for uncertainty characterization and decision support in geothermal exploration", Energies 15(5) 1929 (2022).
• B She, A Fournier, M Yao, Y Wang & G Hu "A self-adaptive and gradient-based cuckoo search algorithm for global optimization" Applied Soft Computing 108774 (2022).

Courses taught:

• 2015 Fall: Linear algebra and differential equations (14 students)
• 2016
  • Spring: Linear algebra and differential equations (21 students)
  • Summer: Numerical analysis I (17 students)
  • Fall: Topics in applied mathematics –Wavelet analysis (7 graduate students)
• 2017
  • Spring: Calculus II (24 students)
  • Fall: Linear algebra and differential equations (14 students); Readings in Mathematics: Riemannian Geometry (5 graduate students)
• 2018
  • Spring: Numerical analysis I (20 students); Readings in Mathematics: Gravitation and Cosmology (4 graduate students)
  • Fall: Numerical analysis I (20 students); Readings in Mathematics: Einstein's Field Equations (4 graduate students)
• 2019
  • Spring: Calculus II (online, 22 students); Math Clinic (11 students); Readings in Mathematics: Burgers & Navier-Stokes (5 graduate students)
  • Fall: Math Clinic (7 students); Independent Study: Tensor analysis and curvature (Vince Herr)
• 2020
  • Spring: Math Clinic (17 students); Independent Study: Solutions of Einstein field equations (Vince Herr)
  • Fall: Math Clinic (14 students); Doctoral Dissertation (Vince Herr)
• 2021
  • Spring: Math Clinic (18 students); Doctoral Dissertation (Vince Herr)
  • Summer: Doctoral Dissertation (Vince Herr)
  • Fall: Math Clinic (7 students); Doctoral Dissertation (Vince Herr); Readings in Mathematics: Network signal deblending (1 graduate student, Rachel Drummond); Readings in Mathematics: Climate dynamics noise processes (1 graduate student, Isabel Corona Guevara)
• 2022
  • Spring: Math Clinic (12 students); Doctoral Dissertation (Vince Herr); Readings in Mathematics: How to make stochastic models (3 graduate students).
  • Fall: Math Clinic (14 students); Doctoral Dissertation (Vince Herr).
• 2023
  • Spring: Math Clinic (13 students); Doctoral Dissertation (Vince Herr).
  • Fall: Doctoral Dissertation (Vince Herr).
• 2024
  • Spring: Math Clinic (15 students); Doctoral Dissertation (Vince Herr); Master's Project (Glen Aultman-Bettridge).
  • Summer: Independent Study (Faisal Alotaibi).
  • Fall: Math Clinic (5 students); Doctoral Dissertation (Vince Herr).
• 2025
  • Spring: Math Clinic (19 students); Doctoral Dissertation (Vince Herr).

Advising:

• 2017–2025
  • PhD Thesis Advisor for NSF GRFP Fellow Vince Herr, "Spacetime Triple Wormhole".
• 2018: MS projects by
  • Maryam Khazaei Pool ("`Numerical solution of two dimensional coupled viscous Burgers equation using modified cubic B-spline differential quadrature method' by Shukla, Tamsir & Kumar")
  • Alexa Desautels ("Ambiguities in pressure determinations for incompressible flows") and
• 2018–2019: Visiting student Bin She from University of Electronic Science and Technology of China (research on optimization)
• 2019: PhD committee for Mengjie Yao
• 2020: MS project by Simon Deng ("Neumann and Dirichlet boundary conditions for incompressible Navier-stokes problems")
• 2021: MS project by Alfred Paris Wahabby ("Alcubierre warp drive: Hyper-fast travel within general relativity")
• 2023–present: MS thesis by Glen Aultman-Bettridge.
• 2024–2025: MS project by Faisal Alotaibi ("Gravitational waves from simulated mergers of 2 and 3 black holes").