ABSTRACT:

In this talk, I will focus on the numerical analysis of several coupled problems involving both free-flow and porous media flow. These problems are commonly encountered in applications such as groundwater contamination, where contaminants spread through both surface and subsurface flows. I will present numerical discretizations based on strongly conservative hybridizable discontinuous Galerkin (HDG) methods, emphasizing well-posedness and error estimates. Finally, I will present results from various computational experiments.

BIO:

Dr. Cesmelioglu is a Professor in the Department of Mathematics and Statistics at Oakland University, where she has been a faculty member since 2012. She holds a Ph.D. in Computational and Applied Mathematics from Rice University (2010) and held a postdoctoral position at the Institute for Mathematics and its Applications (2010-2012). Her research focuses on numerical methods for partial differential equations with specific interest in fluid flow and multiphysics problems involving porous and poroelastic materials.