3 papers
math.NA2020
Reduced order modelling of nonlinear cross-diffusion systems
Bülent Karasözen, Gülden Mülayim, Murat Uzunca +1
In this work, we present a reduced-order model for a nonlinear cross-diffusion problem from population dynamics, for the Shigesada-Kawasaki-Teramoto (SKT) equation with Lotka-Volte…
math.NA2019
Structure Preserving Model Order Reduction of Shallow Water Equations
Bülent Karasözen, Süleyman Yıldız, Murat Uzunca
In this paper, we present two different approaches for constructing reduced-order models (ROMs) for the two-dimensional shallow water equation (SWE). The first one is based on the…
math.NA2019
Adaptive Discontinuous Galerkin Finite Elements for Advective Allen-Cahn Equation
Murat Uzunca, Ayşe Sarıaydın-Filibelioğlu
We apply a space adaptive interior penalty discontinuous Galerkin method for solving advective Allen-Cahn equation with expanding and contracting velocity fields. The advective All…