Publications & Works

Published journal articles indexed by SCI, SSCI, and AHCI

Artificial compression method for MHD system in Elsässer variables

APPLIED NUMERICAL MATHEMATICS, vol.185, pp.72-87, 2023 (SCI-Expanded)

LONG TIME STABILITY OF A LINEARLY EXTRAPOLATED BLENDED BDF SCHEME FOR MULTIPHYSICS FLOWS

INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, vol.17, no.1, pp.24-41, 2020 (SCI-Expanded) identifier identifier

A family of second order time stepping methods for the Darcy-Brinkman equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol.472, no.1, pp.148-175, 2019 (SCI-Expanded) identifier identifier

FINITE ELEMENT ERROR ANALYSIS OF A MANTLE CONVECTION MODEL

INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, vol.15, pp.677-698, 2018 (SCI-Expanded) identifier

Analysis of Model Variance for Ensemble Based Turbulence Modeling

COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, vol.15, no.2, pp.173-188, 2015 (SCI-Expanded) identifier identifier

CONVERGENCE ANALYSIS OF THE FINITE ELEMENT METHOD FOR A FUNDAMENTAL MODEL IN TURBULENCE

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, vol.22, no.11, 2012 (SCI-Expanded) Creative Commons License identifier identifier

A projection-based stabilized finite element method for steady-state natural convection problem

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol.381, no.2, pp.469-484, 2011 (SCI-Expanded) identifier identifier

A two-grid stabilization method for solving the steady-state Navier-Stokes equations

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, vol.22, no.3, pp.728-743, 2006 (SCI-Expanded) Creative Commons License identifier identifier

A two-level variational multiscale method for convection-dominated convection-diffusion equations

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, vol.195, pp.4594-4603, 2006 (SCI-Expanded) Creative Commons License identifier identifier

Subgrid stabilized defect correction methods for the Navier-Stokes equations

SIAM JOURNAL ON NUMERICAL ANALYSIS, vol.44, no.4, pp.1639-1654, 2006 (SCI-Expanded) identifier identifier

A finite element variational multiscale method for the Navier-Stokes equations

SIAM JOURNAL ON SCIENTIFIC COMPUTING, vol.26, no.5, pp.1485-1503, 2005 (SCI-Expanded) identifier identifier

Articles Published in Other Journals

On the extrapolated VMS-POD method for incompressible flows

Computer Methods in Materials Science, vol.19, pp.70-77, 2019 (Scopus)

Decoupled Modular Regularized VMS-POD for Darcy-Brinkman Equations

IAENG International Journal of Applied Mathematics, vol.49, pp.134-144, 2019 (Scopus) Creative Commons License identifier

Refereed Congress / Symposium Publications in Proceedings

ON THE EXTRAPOLATED VMS-POD METHOD FORINCOMPRESSIBLE FLOWS

5th ECCOMAS Young Investigators Conference, Krakow, Poland, 1 - 06 September 2019, vol.19, pp.70-77 Creative Commons License identifier

A Numerical Study of a Modular Sparse Grad-Div Stabilization Method for Boussinesq Equations

8th International Conference on Mathematical Modeling in Physical Science, 26 - 29 August 2019, vol.2019, pp.1-4 identifier identifier

Numerical Investigation of the Boussinesq equations through a Subgrid Artificial Viscosity Method

The European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 2019), Egmond aan Zee, Netherlands, 30 September - 04 October 2019

A Review of Variational Multiscale Methods forMultiphysics Flow Problems

International Meeting on Applied Mathematics Evolution, 16 - 18 April 2019

Numerical Aspects of POD-Based Reduced-Order Modeling forDarcy-Brinkman Equations

Workshop on Computational Science and Engineering, Ankara, Turkey, 20 - 21 October 2018

A Numerical Study of Second Order Time Stepping Methods for the Boussinesq Equations

BEYOND: Workshop on Computational Science and Engineering, Turkey, 20 - 21 October 2018

penalty projection algorithm for MHD in Elsasser Variable,

world congress of mathematics, 1 - 09 August 2018

Numerical Study on Blood Flow Modelling in Arteries

International Conference on Applied Mathematics in Engineering, 27 - 29 June 2018

Proper Orthogonal Decomposition Method for the Darcy-Brinkman Equations

International Conference on Applied Mathematics in Engineering, 27 - 29 June 2018

Numerical Analysis of Second Order Time Stepping Methods for the Natural Convection Problems

International Conference on Applied Mathematics in Engineering,, Balıkesir, Turkey, 27 - 29 June 2018, pp.100

Modeling of blood flow in arteies with Navier-Stokes equations

5th International Conference on Complex Dynamical Systems in Life sciences Modeling and Analysis, 10 - 12 May 2018

Numerical Studies on a Second Order Explicitly Decoupled Variational Multiscale Method

European Conference on Numerical Mathematics and Advanced Applications (ENUMATH), Ankara, Turkey, 14 - 18 September 2015, vol.112, pp.115-122 identifier identifier

Books & Book Chapters

An Extrapolated Crank Nicholson VMS-POD Method for Darcy Brinkman Equations

in: Numerical Solutions of Realistic Nonlinear Phenomena. Nonlinear Systems and Complexity, Machado J., Özdemir N., Baleanu D., Editor, Springer, Cham, cham, pp.25-51, 2020

Numerical Studies on a Second Order Explicitly Decoupled Variational Multiscale Method

in: Numerical Mathematics and Advanced Applications ENUMATH 2015, Karasözen, B., Manguoğlu, M., Tezer-Sezgin, M., Göktepe, S., Uğur, Ö, Editor, Springer, pp.115-122, 2016

Expert Reports

Etik İncelemesi

Fen ve Mühendislik Bilimsel Araştırma Yayın Etiği Komisyonu, pp.3, Ankara, 2020