Research Interests: Numerical analysis, finite element methods, mixed methods

Publications:

P. G. Geredeli, C. Givens and A. Zytoon

Numerical Approximations for the Null Controllers of Structurally Damped Plate Dynamics, submitted September 2022.

arxiv.org/pdf/2209.08486.pdf

P. G. Geredeli, L.G. Rebholz, D. Vargun and A. Zytoon,

Improved convergence of the Arrow-Hurwicz iteration for the Navier-Stokes equation via grad-div stabilization and Anderson acceleration, accepted October 2022, to appear in Journal of Computational and Applied Mathematics.

arxiv.org/pdf/2203.01534.pdf

M. Fabien, J. Guzman, M. Neilan and A. Zytoon,

Low-order divergence-free approximations for the Stokes problem on Worsey-Farin and Powell-Sabin splits, Computer Methods in Applied Mechanics and Engineering, vol. 390, p. 114444, 2022

arxiv.org/pdf/2105.09214.pdf

M. Neilan and A. Zytoon

Connection between grad-div stabilized Stokes nite elements and divergence-free elements, International Journal of Numerical Analysis and Modeling, 17 (6), 839 -857, 2020

M. Neilan and A. Zytoon

Low-order Raviart Thomas approximations of axisymmetric Darcy flow, Journal of Mathematical Analysis and Applications, 473 (2), 905 - 917, 2019