Publications & Works

Articles Published in Journals That Entered SCI, SSCI and AHCI Indexes

Defect-deferred correction method based on a subgrid artificial viscosity model for fluid-fluid interaction

Applied Numerical Mathematics, vol.160, pp.178-191, 2021 (Journal Indexed in SCI Expanded) identifier

An analysis of a linearly extrapolated BDF2 subgrid artificial viscosity method for incompressible flows

Applied Numerical Mathematics, vol.156, pp.140-157, 2020 (Journal Indexed in SCI Expanded) identifier identifier

A projection based variational multiscale method for a fluid–fluid interaction problem

Computer Methods in Applied Mechanics and Engineering, vol.365, 2020 (Journal Indexed in SCI Expanded) Creative Commons License identifier identifier

A second order decoupled penalty projection method based on deferred correction for MHD in Elsasser variable

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, vol.371, 2020 (Journal Indexed in SCI) identifier identifier

Analysis of Second Order Time Filtered Backward Euler Method for MHD Equations

Journal of Scientific Computing, vol.82, no.2, 2020 (Journal Indexed in SCI Expanded) identifier identifier

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 (Journal Indexed in SCI) identifier identifier

Two approaches to creating a turbulence model with increased temporal accuracy

Applied Mathematics and Computation, vol.358, pp.25-36, 2019 (Journal Indexed in SCI) identifier identifier

POD-ROM for the Darcy-Brinkman equations with double-diffusive convection

JOURNAL OF NUMERICAL MATHEMATICS, vol.27, pp.123-139, 2019 (Journal Indexed in SCI) 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 (Journal Indexed in SCI) identifier identifier

FINITE ELEMENT ERROR ANALYSIS OF A MANTLE CONVECTION MODEL

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

A modular regularized variational multiscale proper orthogonal decomposition for incompressible flows

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, vol.325, pp.350-368, 2017 (Journal Indexed in SCI) Creative Commons License identifier identifier

On the stability at all times of linearly extrapolated BDF2 timestepping for multiphysics incompressible flow problems

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, vol.33, no.4, pp.999-1017, 2017 (Journal Indexed in SCI) Creative Commons License identifier identifier

NUMERICAL ANALYSIS AND TESTING OF A FULLY DISCRETE, DECOUPLED PENALTY-PROJECTION ALGORITHM FOR MHD IN ELSASSER VARIABLE

INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, vol.13, no.1, pp.90-113, 2016 (Journal Indexed in SCI) identifier identifier

Analysis of Model Variance for Ensemble Based Turbulence Modeling

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

An Explicitly Decoupled Variational Multiscale Method for Incompressible, Non-Isothermal Flows

COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, vol.15, no.1, pp.1-20, 2015 (Journal Indexed in SCI) identifier identifier

A subgrid stabilization finite element method for incompressible magnetohydrodynamics

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, vol.90, no.7, pp.1506-1523, 2013 (Journal Indexed in SCI) 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 (Journal Indexed in SCI) 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 (Journal Indexed in SCI) identifier identifier

Finite element error analysis for a projection-based variational multiscale method with nonlinear eddy viscosity

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol.344, no.2, pp.627-641, 2008 (Journal Indexed in SCI) identifier identifier

Finite element error analysis of a variational multiscale method for the Navier-Stokes equations

ADVANCES IN COMPUTATIONAL MATHEMATICS, vol.28, no.1, pp.43-61, 2008 (Journal Indexed in SCI) identifier identifier

Finite element error analysis of a zeroth order approximate deconvolution model based on a mixed formulation

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol.331, no.1, pp.669-685, 2007 (Journal Indexed in SCI) 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 (Journal Indexed in SCI) 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 (Journal Indexed in SCI) 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 (Journal Indexed in SCI) 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 (Journal Indexed in SCI) identifier identifier

A discontinuous subgrid eddy viscosity method for the time-dependent Navier-Stokes equations

SIAM JOURNAL ON NUMERICAL ANALYSIS, vol.43, no.4, pp.1572-1595, 2005 (Journal Indexed in SCI) Creative Commons License 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 (Refereed Journals of Other Institutions)

Decoupled Modular Regularized VMS-POD for Darcy-Brinkman Equations

IAENG International Journal of Applied Mathematics, vol.49, pp.134-144, 2019 (Refereed Journals of Other Institutions) 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

A Projection-Based VMS Method on Linearly Extrapolated BDF2Time-stepping Scheme for Navier-Stokes 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