Finite Element Methods
Numerical solution of partial differential equations using finite element techniques and their theoretical and computational aspects.
Academic Homepage
Sinan Ergen
Research Assistant · Mathematics
Balıkesir University
I work in finite element methods, computational fluid dynamics, fluid mechanics, scientific computing, and numerical analysis. My research particularly focuses on numerical methods and algorithmic performance for the Navier–Stokes equations and natural convection problems. I also develop and implement numerical simulations using the deal.II finite element library.
Institution
Balıkesir University
Field
Applied Mathematics
Focus
FEM · CFD · PDEs
About
About Me
I am Sinan Ergen, a Research Assistant in the Department of Mathematics at Balıkesir University. I am currently pursuing my M.Sc. in Mathematics at Hacettepe University.
My academic work is mainly centered on finite element methods, computational fluid dynamics, fluid mechanics, scientific computing, and numerical analysis.
In particular, I am interested in numerical solution methods, iterative algorithms, and performance improvement techniques for the Navier–Stokes equations and natural convection problems. This website provides an overview of my academic background, research interests, publications, seminars, awards, simulation outputs, and professional links.
Research
Research Interests
Computational Fluid Dynamics
Numerical modeling, simulation, and performance analysis of fluid flow problems.
Fluid Mechanics
Mathematical models describing fluid behavior and their applied analysis.
Scientific Computing
Efficient and accurate computational approaches for solving mathematical and engineering problems.
Numerical Analysis
Convergence, stability, error analysis, and the theoretical foundations of numerical methods.
Navier–Stokes and Natural Convection
Numerical methods, iterative schemes, and computational strategies for flow and heat transfer problems.
Education
Education
2024 - Present
M.Sc. in Mathematics
Hacettepe University
2019 - 2023
B.Sc. in Mathematics
Hacettepe University
Publications
Selected Publication
ARTICLE
Takhirov, A., Aggul, M., Ergen, S., Eroğlu, F. G., & Kaya, S. (2026). Robust Arrow–Hurwicz method for high–Rayleigh number Boussinesq flow. Calcolo, 63, 16.
Conferences & Seminars
Conferences and Seminars
Hacettepe University General Seminar
“Durağan Hal Sıkıştırılamaz Navier–Stokes Denklemleri İçin Anderson Hızlandırmalı Geliştirilmiş Arrow–Hurwicz Yöntemi,” Ankara, Türkiye, 2026.
Balıkesir University General Seminar
“Sonlu Elemanlar Yöntemi,” Balıkesir, Türkiye, 2025.
Awards & Grants
Awards and Grants
Hacettepe University Alumni Association Achievement Award
Awarded by the Hacettepe University Alumni Association.
TÜBİTAK 2210-A National Graduate Scholarship Program
Graduate scholarship support for postgraduate studies in Türkiye.
Simulation Gallery
Simulation Results
Contact
Get in Touch
For academic collaborations, professional inquiries, or general questions, please feel free to contact me via email.