Dr.-Ing. Carina Nisters

Forschung » Lehre » Werdegang » Betreute Abschlussarbeiten » Publikationen

Forschung

  • Sea ice modelling within the least-squares finite element method
     
  • Higher-order time-integration schemes with application to sea ice dynamics
     
  • Developement of mixed least-squares finite elements for linear elastodynamics, incompressible Newtonian fluids and fluid-structure interaction.

Lehre

  • Technische Mechanik 1 (Stereostatik / Elastostatik I)
     
  • Technische Mechanik 2 (Elastostatik II / Hydromechanik)
     
  • Technische Mechanik 3 (M.Sc.)
     
  • Lineare Finite Element Methoden (B.Sc./M.Sc.),
     
  • Nonlinear Finite Element Methods (M.Sc.)
     
  • Finite Element Methods — Coupled Problems (M.Sc.)
     
  • Tensor Calculus (M.Sc.)

Werdegang

2006 Abitur am Städtischen Gymnasium Straelen
2007-2010 Studium Bauingenieurwesen B.Sc. an der Universität Duisburg-Essen
2010-2012 Studium Computational Mechanics M.Sc. an der Universität Duisburg-Essen
2012 Auslandsaufenthalt an der Ecole de Mines, Paris
seit 2012 Wissenschaftliche Mitarbeiterin am Institut für Mechanik, Universität Duisburg-Essen
im August 2018 Promotion am Institut für Mechanik, Universität Duisburg-Essen, Titel der Arbeit "Least-squares finite element methods with applications in fluid and solid mechanics"

Betreute Abschlussarbeiten

Henscheid, F. [2018], "Simulation von Fluid Struktur Interaktionsproblemen in ANSYS", Bachelorarbeit, Institut für Mechanik, Abt. Bauwissenschaften, Universität Duisburg-Essen. 

Kugai, S. [2017], "Investigation of mixed least-squares finite element formulations for the incompressible Navier-Stokes equations based on quadrilateral and hexahedral elements", Masterarbeit, Institut für Mechanik, Abt. Bauwissenschaften, Universität Duisburg-Essen.

Endrikat, L. [2016] "Mixed Galerkin finite element method in 2D and 3D for the incompressible Navier-Stokes equations", Masterarbeit, Institut für Mechanik, Abt. Bauwissenschaften, Universität Duisburg-Essen.

Averweg, S. [2016] "Least-squares FEM with Lagrange interpolation in 2D and 3D for the S-V-P formulation of the incompressible Navier-Stokes equations", Masterarbeit, Institut für Mechanik, Abt. Bauwissenschaften, Universität Duisburg-Essen.

Levermann, J. [2016], "Investigation of Newmark time integration schemes for the incompressible Navier-Stokes fluid flow in least squares finite element methods.", Bachelorarbeit, Institut für Mechanik, Abt. Bauwissenschaften, Universität Duisburg-Essen.

Stenchlik, D. [2015], "Implementation and comparsion of mixed least-squares finite elements for the solution of dynamic problems in incompressible linear elasticity.", Bachelorarbeit, Institut für Mechanik, Abt. Bauwissenschaften, Universität Duisburg-Essen.

Averweg, S. [2014], "Comparsion and implementation of least-squares and Kriging approximation approaches.", Bachelorarbeit, Institut für Mechanik, Abt. Bauwissenschaften, Universität Duisburg-Essen.

Endrikat, L. [2014], "Implementation and investigation of hexahedral finite elements of different polynomial order.", Bachelorarbeit, Institut für Mechanik, Abt. Bauwissenschaften, Universität Duisburg-Essen.

Publikationen

JabRef references
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Nisters C, Schröder J, Niekamp R and Ricken T (2019 (accepted)), "Comparative study on time-integrator schemes in a least-squares sea ice finite element formulation", In Research and Applications in Structural Engineering, Mechanics & Computation. Cape Town, South Africa , pp. nn. Taylor & Francis Group.
BibTeX:
@incollection{NisSchNieRic:2019:cso,
  author = {C. Nisters and J. Schröder and R. Niekamp and T. Ricken},
  editor = {A. Zingoni},
  title = {Comparative study on time-integrator schemes in a least-squares sea ice finite element formulation},
  booktitle = {Research and Applications in Structural Engineering, Mechanics & Computation},
  publisher = {Taylor & Francis Group},
  year = {2019 (accepted)},
  pages = {nn}
}
Averweg S, Schwarz A, Nisters C and Schröder J (2018), "Implicit time discretization schemes for least-squares finite element formulations to model incompressible flows", Proceedings in Applied Mathematics and Mechanics. Vol. 18, pp. e201800166 (2 pages).
BibTeX:
@article{AveSchNisSch:2018:itd,
  author = {S. Averweg and A. Schwarz and C. Nisters and J. Schröder},
  title = {Implicit time discretization schemes for least-squares finite element formulations to model incompressible flows},
  journal = {Proceedings in Applied Mathematics and Mechanics},
  year = {2018},
  volume = {18},
  pages = {e201800166 (2 pages)}
}
Nisters C (2018), "Least-squares finite element methods with applications in fluid and solid mechanics", Nov, 2018.
BibTeX:
@phdthesis{Nis:2018:lsf,
  author = {Nisters, Carina},
  title = {Least-squares finite element methods with applications in fluid and solid mechanics},
  year = {2018}
}
Nisters C and Schwarz A (2018), "Efficient stress--velocity least-squares finite element formulations for the incompressible Navier--Stokes equations", Computer Methods in Applied Mechanics and Engineering. Vol. 341, pp. 333-359. Elsevier.
BibTeX:
@article{NisSch:2018:esv,
  author = {Nisters, Carina and Schwarz, Alexander},
  title = {Efficient stress--velocity least-squares finite element formulations for the incompressible Navier--Stokes equations},
  journal = {Computer Methods in Applied Mechanics and Engineering},
  publisher = {Elsevier},
  year = {2018},
  volume = {341},
  pages = {333--359}
}
Nisters C, Schwarz A, Averweg S and Schröder J (2018), "Remarks on a Fluid-Structure Interaction Scheme Based on the Least-Squares Finite Element Method at Small Strains", In Advances in Mechanics of Materials and Structural Analysis: In Honor of Reinhold Kienzler. , pp. 261-279. Springer International Publishing.
BibTeX:
@incollection{NisSchAverSch:2017:roa,
  author = {Nisters, Carina and Schwarz, Alexander and Averweg, Solveigh and Schröder, Jörg},
  editor = {Altenbach, Holm and Jablonski, Frank and Müller, Wolfgang H. and Naumenko, Konstantin and Schneider, Patrick},
  title = {Remarks on a Fluid-Structure Interaction Scheme Based on the Least-Squares Finite Element Method at Small Strains},
  booktitle = {Advances in Mechanics of Materials and Structural Analysis: In Honor of Reinhold Kienzler},
  publisher = {Springer International Publishing},
  year = {2018},
  pages = {261--279}
}
Schwarz A, Averweg S, Nisters C and Schröder J (2018), "A fluid-structure interaction approach with inherently fulfilled coupling conditions", Proceedings in Applied Mathematics and Mechanics. Vol. 18, pp. e201800183 (2 pages).
BibTeX:
@article{SchAveNisSch:2018:afs,
  author = {A. Schwarz and S. Averweg and and C. Nisters and J. Schröder},
  title = {A fluid-structure interaction approach with inherently fulfilled coupling conditions},
  journal = {Proceedings in Applied Mathematics and Mechanics},
  year = {2018},
  volume = {18},
  pages = {e201800183 (2 pages)}
}
Schwarz A, Nickaeen M, Serdas S, Nisters C, Ouazzi A, Schröder J and Turek S (2018), "A comparative study of mixed least-squares FEMs for the incompressible Navier-Stokes equations", Int. J. Comput. Sci. Eng. Vol. 17(1), pp. 80-97.
BibTeX:
@article{SchNicSerNisOuaSchTur:2018:acs,
  author = {A. Schwarz and M. Nickaeen and S. Serdas and C. Nisters and A. Ouazzi and J. Schröder and S. Turek},
  title = {A comparative study of mixed least-squares FEMs for the incompressible Navier-Stokes equations},
  journal = {Int. J. Comput. Sci. Eng},
  year = {2018},
  volume = {17},
  number = {1},
  pages = {80--97}
}
Schwarz A, Nisters C, Averweg S and Schröder J (2018), "Stress-Velocity Mixed Least-Squares FEMs for the Time-Dependent Incompressible Navier-Stokes Equations", In Large-Scale Scientific Computing. Cham , pp. 137-144. Springer International Publishing.
BibTeX:
@inproceedings{SchNisAveSch:2017:svm,
  author = {Schwarz, Alexander and Nisters, Carina and Averweg, Solveigh and Schröder, Jörg},
  editor = {Lirkov, Ivan and Margenov, Svetozar},
  title = {Stress-Velocity Mixed Least-Squares FEMs for the Time-Dependent Incompressible Navier-Stokes Equations},
  booktitle = {Large-Scale Scientific Computing},
  publisher = {Springer International Publishing},
  year = {2018},
  pages = {137--144}
}
Schröder J, Nisters C and Ricken T (2018), "On a least-squares finite element formulation for sea ice dynamics", Proceedings in Applied Mathematics and Mechanics. Vol. 18(1), pp. e201800156 (2 pages).
BibTeX:
@article{SchNisRic:2018:oal,
  author = {Schröder, Jörg and Nisters, Carina and Ricken, Tim},
  title = {On a least-squares finite element formulation for sea ice dynamics},
  journal = {Proceedings in Applied Mathematics and Mechanics},
  year = {2018},
  volume = {18},
  number = {1},
  pages = {e201800156 (2 pages)}
}
Nisters C, Schwarz A and Schröder J (2017), "Investigation of stress-velocity LSFEMs for the incompressible Navier-Stokes equations", Proceedings in Applied Mathematics and Mechanics. Vol. 17, pp. 631-632.
BibTeX:
@article{NisSchSch:2017:ios,
  author = {C. Nisters and A. Schwarz and J. Schröder},
  title = {Investigation of stress-velocity LSFEMs for the incompressible Navier-Stokes equations},
  journal = {Proceedings in Applied Mathematics and Mechanics},
  year = {2017},
  volume = {17},
  pages = {631--632}
}
Schröder J and Nisters C (2017), "Theoretisches Wissen anschaulich machen, selbstständiges Lernen fördern und den universitären Einstieg erleichtern - E-Learning in der Technischen Mechanik im Bauingenieurwesen", In Flexibles Lernen mit digitalen Medien ermöglichen - Strategische Verankerung und Erprobungsfelder guter Praxis an der Universität Duisburg-Essen. , pp. 361-372.
BibTeX:
@incollection{SchNis:2016:TWa,
  author = {Schröder, J. and Nisters, C.},
  editor = {I. van Ackeren and M. Kerres and S. Heinrich},
  title = {Theoretisches Wissen anschaulich machen, selbstständiges Lernen fördern und den universitären Einstieg erleichtern - E-Learning in der Technischen Mechanik im Bauingenieurwesen},
  booktitle = {Flexibles Lernen mit digitalen Medien ermöglichen - Strategische Verankerung und Erprobungsfelder guter Praxis an der Universität Duisburg-Essen},
  year = {2017},
  pages = {361--372}
}
Nisters C, Schwarz A, Steeger K and Schröder J (2015), "A stress-velocity least-squares mixed finite element formulation for incompressible elastodynamics", Proceedings in Applied Mathematics and Mechanics. Vol. 15(1), pp. 217-218.
BibTeX:
@article{NisSchSteSch:2015:asv,
  author = {C. Nisters and A. Schwarz and K. Steeger and J. Schröder},
  title = {A stress-velocity least-squares mixed finite element formulation for incompressible elastodynamics},
  journal = {Proceedings in Applied Mathematics and Mechanics},
  year = {2015},
  volume = {15},
  number = {1},
  pages = {217--218}
}
Schröder J, Balzani D and Nisters C (2014), "Zur Modellierung dünner Schalen mit hyperelastisch isotropem und anisotropem Materialverhaltens", In Essener Membranbau Symposium.
BibTeX:
@conference{SchBalNis:2014:zmd,
  author = {J.Schröder and D. Balzani and C. Nisters},
  title = {Zur Modellierung dünner Schalen mit hyperelastisch isotropem und anisotropem Materialverhaltens},
  booktitle = {Essener Membranbau Symposium},
  year = {2014}
}
Nisters C (2013), "Mixed finite element implementation of a two-dimensional strain gradient elasticity model"
BibTeX:
@article{Nis:2013:mfe,
  author = {Nisters, C.},
  title = {Mixed finite element implementation of a two-dimensional strain gradient elasticity model},
  year = {2013}
}
Nisters C (2010), "One-Dimensional Rheological Material Models, Analysis and Numerical Implementation"
BibTeX:
@article{Nis:2010:odr,
  author = {Nisters, C.},
  title = {One-Dimensional Rheological Material Models, Analysis and Numerical Implementation},
  year = {2010}
}
Created by JabRef on 03/05/2019.

Dr.-Ing. Carina Nisters

Tel.: +49(0)201/183-3142
Fax: +49(0)201/183-2680
Raum: V15 S06 D84
carina.nisters@uni-due.de

Nisters2

Kontaktadresse

Universität Duisburg-Essen

Fakultät für Ingenieurwissenschaften
Abteilung Bauwissenschaften
Institut für Mechanik
Universitätsstraße 15
Raum V15 S06 D84

45141 Essen