228 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Middle East Technical UniversityTR19 papers
- Bilkent UniversityTR16 papers
- Usak UniversityTR5 papers
- University of KurdistanIR3 papers
- Ankara UniversityTR2 papers
- Centro de Estudios CientíficosCL2 papers
- Istanbul Technical UniversityTR2 papers
- University of GroningenNL2 papers
- Adana Science and Technology UniversityTR1 paper
- Aix-Marseille UniversitéFR1 paper
- Amasya ÜniversitesiTR1 paper
- Ankara Bilim Üniversitesi1 paper
3 papers · 1 filter
Structure preserving reduced order modeling for gradient systems
Tuğba Akman Yıldız, Murat Uzunca, Bülent Karasözen
Minimization of energy in gradient systems leads to formation of oscillatory and Turing patterns in reaction-diffusion systems. These patterns should be accurately computed using f…
Energy stable model order reduction for the Allen-Cahn equation
Murat Uzunca, Bülent Karasözen
The Allen-Cahn equation is a gradient system, where the free-energy functional decreases monotonically in time. We develop an energy stable reduced order model (ROM) for a gradient…
Energy stable interior penalty discontinuous Galerkin finite element method for Cahn-Hilliard equation
Bülent Karasözen, Ayşe Sarıaydın Filibelioğlu, Murat Uzunca
An energy stable conservative method is developed for the Cahn--Hilliard (CH) equation with the degenerate mobility. The CH equation is discretized in space with the mass conservin…