Elizabeth Hawkins
Ph.D. Mathematical Sciences, Clemson University, expected May 2025
July 2025-, RTG Postdoc, Rice University
Papers:
1) E. Hawkins, L. Rebholz and D. Vargun, Removing splitting/modeling error in projection/penalty methods for Navier-Stokes simulations with continuous data assimilation,
Communications in Mathematical Research, 40(1), 1-29, 2024. arxiv preprint
2) X. Li, E. Hawkins, L. Rebholz and D. Vargun, Accelerating and Enabling convergence of nonlinear solvers for Navier-Stokes equations by continuous data
assimilation, Computer Methods in Applied Mechanics and Engineering, 416 (116313), 1-17, 2023.
3) J. Franklin, E. Hawkins, M. Morales Hernandez and L. Rebholz,
Efficiency and robustness of the (Anderson-)Picard-Newton iteration for solving nonlinear PDEs,
Proceedings of the 16th World Congress in Computational Mechanics, 2024.
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4) E. Hawkins, P. Kuberry and P. Bochev,
An optimization-based coupling of reduced order models with efficient reduced adjoint basis generation approach,
SIAM Journal on Scientific Computing, in revision, 2025.
5) E. Hawkins, Anderson-Picard based nonlinear preconditioning of the
Newton iteration for non-isothermal flow simulations, submitted, 2025.
Tori (Luongo) Fisher
Ph.D. Mathematical Sciences, Clemson University, expected 2027ish
Papers:
1) V. Loungo, Long-time L2 stability for an IMEX discretization of the 1D Fujita Equation, SIURO, volume 16, 2023.