Profile
Elizabeth Hawkins
Mathematical and Statistical Sciences
Grad Teacher of Record
Jordan Hall G19 [Office]
Educational Background
B.S., Mathematics, Georgia Southern University, 2018
M.S., Mathematics, Georgia Southern University, 2020
Profile/About Me
I am currently a PhD candidate at the university. I am interested in computational fluid dynamics, particularly Galerkin methods like finite elements. I have experience with digital twins and acceleration techniques like Anderson Acceleration. Furthermore, I enjoy coding and have experience with multiple softwares and languages.
Research Interests
My interests lie broadly in applied mathematics and computational mathematics. More specifically I have experience with continuous fluid dynamics, finite element method, reduced order modeling, data assimilation, anderson acceleration, and high performance computing
Research Group (Lab)
Sandia National Laboratory
Courses Taught
MATH 1020
MATH 2070
MATH 1060
Selected Publications
Hawkins, E., Analysis of the Picard-Newton method for the incompressible Boussinesq equations, Numerical Methods for Partial Differential Equations, Submitted, 2024
Franklin, J., Hawkins, E., Hernandez, M., and Rebholz, L., Efficiency and robustness of the (Anderson-)Picard-Newton iteration for solving nonlinear PDEs, 16th World Congress in Computational Mechanics conference proceedings, Submitted, 2024.
Hawkins E., Kuberry, P., Bochev, P., An efficient snapshot collection technique for generating reduced bases for adjoint systems used in optimization-based coupling of reduced order models, SIAM Journal on Scientific Computing, Submitted, 2024
Rebholz, L., Vargun, D., Hawkins, E., Removing splitting/modeling error in projection/penalty methods for Navier-Stokes simulations with continuous data assimilation, Communications in Mathematical Research, 40:1-23, 2024.
Xuejian L., Rebholz, L., Vargun, D., Hawkins, E., Accelerating and enabling convergence of nonlinear solvers for Navier-Stokes equations by continuous data assimilation, Computer Methods in Applied Mechanincs and Engineering, 416, 2023.
Chen, Z., Shao, Y., Wang, K., Hawkins, E., A constrained variational model of biomolecular solvation and its numerical implementation. Computers and Mathematics with Applications, 107:17-28, 2022
Chen, Z., Shao, Y., Hawkins, E., New Variational Analysis on the Sharp Interface of Multiscale Implicit Solvation: General Expressions and Applications. Communications in Information and Systems (CIS), 21:37-64, 2021
Dillies, J., Hawkins, E. (2018). Group Theory and Particles. Georgia Southern Digital Commons.
Selected Talks
Invited, 16th World Congress on Computational Mechanics and 4th Pan American Congress on Computational Mechanics, Special Session on Recent Advances in Discretization Techniques for Coupled Problems in Incompressible Fluid Dynamics, Vancouver, B.C., July 2024.
Invited, 18th Copper Mountain Conference on Iterative Methods, Special Session on Advanced Coupling Technologies for Multiphysics Problems, Copper Mountain, CO, April 2024.
Invited, AMS Southeastern Sectional, Special Session on Advanced Numerical Methods for Partial Differential Equations and their Applications, Tallahassee, FL, March 2024.
Invited, AMS Southeastern Sectional, Special Session on Recent Progress in Numerical Methods for PDEs, Mobil, AL, October 2023.
Invited, AWM Research Symposium, Special Session on Recent Developments in Control, Optimization, and the Analysis of PDEs, Atlanta, GA, September 2023.
Invited, Tenth Graduate Student Mini Conference in Computational Mathematics, Auburn, VA, December 2022.
Honors and Awards
Micheal Case Award-2023
Clayton and Claire Aucoin Mathematical Sciences Graduate Recruiting Fellowship-2020
Degree Program
PhD Mathematical Sciences
Expected Graduation
May 2024
