Utku Kaya

Postdoctoral fellow in the Numerical Mathematics in Applications research group
at the Faculty of Mathematics
at the Otto von Guericke University Magdeburg.

Address

Universitätsplatz 2, Geb.2-R.15a
39106 Magdeburg, Germany

tel: +49 391 67 52633

Short CV

A long version is available on request.

Education

April 2015
– Jan. 2022:
Christian-Albrecht-Universität zu Kiel
PhD in Mathematics.
April 2012
– Jan. 2015:
Georg-August-Universität Göttingen
Master of Science in Mathematics.
Feb. 2010
– Aug. 2010:
Hochschule für Technik Stuttgart
Erasmus Programme.
Feb. 2008
– Feb. 2012:
Istanbul Teknik Universitesi
Bachelor of Science in Mathematical Eng.

Submitted articles

submitted_kaya
[1] U. Kapustsin, U. Kaya, and T. Richter. Error analysis for hybrid finite element/neural network discretizations, 2023. [ bib | arXiv ]
[2] U. Kaya and T. Richter. Local pressure-correction and explicit time integration for incompressible flows. 2023. submitted. [ bib ]

Peer-reviewed articles

references_kaya
[1] U. Kapustsin, U. Kaya, and T. Richter. A hybrid finite element/neural network solver and its application to the poisson problem. In Proceedings in Applied Mathematics and Mechanics, 2023. [ bib | DOI | http ]
[2] L. Schramm, U. Kaya, and M. Braack. Rosenbrock-Wanner and W-methods for the Navier-Stokes equations. Computer Methods in Applied Mechanics and Engineering, 404:115769, 2023. [ bib | DOI | http ]
[3] U. Kaya and M. Braack. Stabilizing the convection-diffusion-reaction equation via local problems. Computer Methods in Applied Mechanics and Engineering, 398:115243, 2022. [ bib | DOI | http ]
[4] U. Kaya, R. Becker, and M. Braack. Local pressure-correction for the Navier-Stokes equations. International Journal for Numerical Methods in Fluids, 93(4):1199--1212, 2021. [ bib | DOI | http ]
[5] M. Braack and U. Kaya. Local pressure correction for the stokes system. Journal of Computational Mathematics, 38(1):125--141, 2020. [ bib | DOI | http ]
[6] U. Kaya, B. Wacker, and G. Lube. Two variants of stabilized nodal-based fem for the magnetic induction problem. In Numerical Mathematics and Advanced Applications ENUMATH 2015, pages 557--565, Cham, 2016. Springer International Publishing. [ bib | DOI ]
[7] U. Kaya, B. Wacker, and G. Lube. Stabilized nodal-based finite element methods for the magnetic induction problem. Mathematical Methods in the Applied Sciences, 39(13):3576--3590, 2016. [ bib | DOI | http ]

Thesis

thesis
[1] U. Kaya. Efficient solution of flow problems via local problems. PhD thesis, Christian-Albrechts-Universität zu Kiel, 2022.
[2] U. Kaya. Numerical simulation of the induction equation using lagrangian finite elements. Master thesis, Georg-August Universität Göttingen, 2014.
Please see

Research interests

  • Computational Fluid Dynamics
  • Finite Element Method
  • Stabilized Methods
  • Time-Stepping Schemes

...more

Prof. Dr. Thomas Richter
Head of Numerics in Application group
at the Institute of Analysis and Numerics
at the Faculty of Mathematics
at the Otto-von-Guericke University Magdeburg

Universitätsplatz 2, 02-016b
39106 Magdeburg, Germany

: +49 391 67 57162
:

Birgit Dahmstrohm

Universitätsplatz 2, 02-18
39106 Magdeburg, Germany

: +49 391 67 58649
:

Stephanie Wernicke

Universitätsplatz 2, 02-18
39106 Magdeburg, Germany

: +49 391 67 58586
:

...more

Prof. Dr. Thomas Richter
Head of Numerics in Application group
at the Institute of Analysis and Numerics
at the Faculty of Mathematics
at the Otto-von-Guericke University Magdeburg

Universitätsplatz 2, 02-016b
39106 Magdeburg, Germany

: +49 391 67 57162
:

Birgit Dahmstrohm

Universitätsplatz 2, 02-18
39106 Magdeburg, Germany

: +49 391 67 58649
:

Stephanie Wernicke

Universitätsplatz 2, 02-18
39106 Magdeburg, Germany

: +49 391 67 58586
: