Education
Ph.D. in Mathematical Sciences, Clemson University, 2014
M.S. in Mathematical Sciences, Clemson University, 2010
B.S. in Mathematics and History, Furman University, 2008
About
Dr. Abigail L. Bowers spent two years as a visiting assistant professor at Clemson
University prior to joining the faculty at Florida Poly.
Expertise
- Navier-Stokes equations
- Finite element method
- Partial differential equations
Selected Publications
- Bowers and L. Rebholz, “The Reduced NS-α Model for Incompressible Flow: A Review of Recent Progress” Fluids, 2, 3, 2017.
- Bowers, S. Le Borne, and L. Rebholz, “Error analysis and iterative solvers for Navier-Stokes projection methods with standard
and sparse grad-div stabilization“, Computer Methods in Applied Mechanics and Engineering, 275, 1-19, 2014.
- Bowers and L. Rebholz, “Numerical study of a regularization model for incompressible with deconvolution-based adaptive nonlinear filtering,” Computer Methods in Applied Mechanics and Engineering, 258, 1-12, 2013.
- Bowers, “Numerical approximation of a multiscale Leray model for incompressible, viscous
flow,” Recent Advances in Scientific Computing and Applications: Proceedings of the
8th International Conference on Scientific Computing and Applications, edited by Jichun
Li, Eric Macharro, and Hongtao Yang, AMS Contemporary Mathematics, volume 586, 2013.
- Bowers, T.-Y. Kim, M. Neda, L. Rebholz, and E. Fried, “The Leray-αβ-deconvolution model: energy analysis and numerical algorithms,” Applied Mathematical Modelling, 37(3), 1225-1241, 2013.
- Bowers, L. Rebholz, A. Takhirov, and C. Trenchea, “Improved accuracy in regularization
models of incompressible flow via adaptive nonlinear filtering,” International Journal
for Numerical Methods in Fluids, 70, 805-828, 2012. DOI: 10.1002/num.20653
- Bowers and L. Rebholz, “Increasing accuracy and efficiency in FE computations of the Leray-deconvolution model,” Numerical Methods for Partial Differential Equations, 28(2), 720-736, 2012.
- Bowers, B. Cousins, A. Linke and L. Rebholz, “New connections between finite element formulations of the Navier-Stokes equations,” Journal of Computational Physics, 229(24), 2090-2095, 2010.
