28 citations · 213 across the 31 of their papers we have counts for
3 papers · 1 filter
Adaptive discontinuous Galerkin methods for non-linear diffusion-convection-reaction equations
Murat Uzunca, Bülent Karasözen, Murat Manguoğlu
In this work, we apply the adaptive discontinuous Galerkin (DGAFEM) method to the convection dominated non-linear, quasi-stationary diffusion-convection-reaction equations. We prop…
Model Order Reduction for Nonlinear Schrödinger Equation
Bülent Karasözen, Canan Akkoyunlu, Murat Uzunca
We apply the proper orthogonal decomposition (POD) to the nonlinear Schrödinger (NLS) equation to derive a reduced order model. The NLS equation is discretized in space by finite d…
Energy Stable Discontinuous Galerkin Finite Element Method for the Allen-Cahn Equation
Bülent Karasözen, Ayşe Sarıaydın Filibelioğlu, Murat Uzunca
Allen--Cahn equation with constant and degenerate mobility, and with polynomial and logarithmic energy functionals is discretized using symmetric interior penalty discontinuous Gal…