Dr.-Ing. Carina Schwarz (Nisters)

Tel.: +49(0)201/183-3603
Fax: +49(0)201/183-2680
Room: V15 S06 D21
carina.schwarz@uni-due.de

Universität Duisburg-Essen

Fakultät für Ingenieurwissenschaften
Abteilung Bauwissenschaften
Institut für Mechanik
Universitätsstraße 15
Raum V15 S06 D21

45141 Essen

Research

  • 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.

Teaching

  • 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.)

Career

2006 High School Diploma (Abitur) at Städtisches Gymnasium Straelen
2007 - 2010 Civil Engineering Studies, B.Sc. at University Duisburg-Essen
2010 - 2012 Computational Mechanics, M.Sc. at University Duisburg-Essen
2012 Guest stay for research at Ecole de Mines, Paris
since 2012 Research assistant at Institute of Mechanics, University Duisburg-Essen
August 2018 Doctorate at Institute of Mechanics, University Duisburg-Essen, Titel of Dissertation "Least-squares finite element methods with applications in fluid and solid mechanics"

Supervised theses

Henscheid, F. [2018], "Simulation von Fluid Struktur Interaktionsproblemen in ANSYS", Bachelor thesis, Institut of Mechanics, Dept. of civil engineering, University 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", Master thesis, Institut of Mechanics, Dept. of civil engineering, University Duisburg-Essen.

Endrikat, L. [2016] "Mixed Galerkin finite element method in 2D and 3D for the incompressible Navier-Stokes equations", Master thesis, Institut of Mechanics, Dept. of civil engineering, University 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", Master thesis, Institut of Mechanics, Dept. of civil engineering, University Duisburg-Essen.

Levermann, J. [2016], "Investigation of Newmark time integration schemes for the incompressible Navier-Stokes fluid flow in least squares finite element methods.", Bachelor thesis, Institut of Mechanics, Dept. of civil engineering, University Duisburg-Essen.

Stenchlik, D. [2015], "Implementation and comparsion of mixed least-squares finite elements for the solution of dynamic problems in incompressible linear elasticity.", Bachelor thesis, Institut of Mechanics, Dept. of civil engineering, University Duisburg-Essen.

Averweg, S. [2014], "Comparsion and implementation of least-squares and Kriging approximation approaches.", Bachelor thesis, Institut of Mechanics, Dept. of civil engineering, University Duisburg-Essen.

Endrikat, L. [2014], "Implementation and investigation of hexahedral finite elements of different polynomial order.", Bachelor thesis, Institut of Mechanics, Dept. of civil engineering, University Duisburg-Essen.

Publications

Reference List Carina Schwarz
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Skatulla, S., Audh, R. R., Cook, A., Hepworth, E., Johnson, S., Lupascu, D. C., ... & Vichi, M. (2021). Physical and mechanical properties of winter first-year ice in the Antarctic marginal ice zone along the Good Hope Line. The Cryosphere Discussions, 1-35.
BibTeX:
        @article{skatulla2021physical,
            title={Physical and mechanical properties of winter first-year ice in the Antarctic marginal ice zone along the Good Hope Line},
            author={Skatulla, Sebastian and Audh, Riesna R and Cook, Andrea and Hepworth, Ehlke and Johnson, Siobhan and Lupascu, Doru C and MacHutchon, Keith and Marquart, Rutger and Mielke, Tommy and Omatuku, Emmanuel and others},
            journal={The Cryosphere Discussions},
            pages={1--35},
            year={2021},
            publisher={Copernicus GmbH}
          }
    
Paul, F., Mielke, T., Schwarz, C., Schröder, J., Rampai, T., Skatulla, S., ... & Lupascu, D. C. (2021). Frazil Ice in the Antarctic Marginal Ice Zone. Journal of Marine Science and Engineering, 9(6), 647.
BibTeX:
        @article{paul2021frazil,
            title={Frazil Ice in the Antarctic Marginal Ice Zone},
            author={Paul, Felix and Mielke, Tommy and Schwarz, Carina and Schr{\"o}der, J{\"o}rg and Rampai, Tokoloho and Skatulla, Sebastian and Audh, Riesna R and Hepworth, Ehlke and Vichi, Marcello and Lupascu, Doru C},
            journal={Journal of Marine Science and Engineering},
            volume={9},
            number={6},
            pages={647},
            year={2021},
            publisher={Multidisciplinary Digital Publishing Institute}
          }
    
Marquart, R., Bogaers, A., Skatulla, S., Alberello, A., Toffoli, A., Schwarz, C., & Vichi, M. (2021). A computational fluid dynamics model for the small-scale dynamics of wave, ice floe and interstitial grease ice interaction. Fluids, 6(5), 176.
BibTeX:
        @article{marquart2021computational,
            title={A computational fluid dynamics model for the small-scale dynamics of wave, ice floe and interstitial grease ice interaction},
            author={Marquart, Rutger and Bogaers, Alfred and Skatulla, Sebastian and Alberello, Alberto and Toffoli, Alessandro and Schwarz, Carina and Vichi, Marcello},
            journal={Fluids},
            volume={6},
            number={5},
            pages={176},
            year={2021},
            publisher={Multidisciplinary Digital Publishing Institute}
          }
    
Nisters, C., & Schröder, J. (2021). Large Scale Sea Ice Modeling–Problems and Perspectives. PAMM, 20(1), e202000242.
BibTeX:
        @article{nisters2021large,
            title={Large Scale Sea Ice Modeling--Problems and Perspectives.},
            author={Nisters, Carina and Schr{\"o}der, J{\"o}rg},
            journal={PAMM},
            volume={20},
            number={1},
            pages={e202000242},
            year={2021},
            publisher={Wiley Online Library}
          }
    
Averweg, S., Schwarz, A., Nisters, C., & Schröder, J. (2021). A least‐squares finite element formulation to solve incompressible non‐Newtonian fluid flow. PAMM, 20(1), e202000169.
BibTeX:
    @article{averweg2021least,
        title={A least-squares finite element formulation to solve incompressible non-Newtonian fluid flow},
        author={Averweg, Solveigh and Schwarz, Alexander and Nisters, Carina and Schr{\"o}der, J{\"o}rg},
        journal={PAMM},
        volume={20},
        number={1},
        pages={e202000169},
        year={2021},
        publisher={Wiley Online Library}
        }
    
Nisters C, Schröder J, Niekamp R & Ricken T (2019), "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. 286. Taylor & Francis Group.
BibTeX:
    @incollection{NisSchNieRic:2019:cso,
      author = {C. Nisters and J. Schröder & 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},
      pages={286}
    }
    
Nisters C, Schröder J, Niekamp R & Ricken T (2019), "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. 268. 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},
    pages={286}
    }
    
Averweg S, Schwarz A, Nisters C & 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 & 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 & 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 & 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 & 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 & 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 & Ricken T (2018), "On a least-squares finite element formulation for sea ice dynamics", PAMM. 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", PAMM. 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 & 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 & Schröder J (2015), "A stress-velocity least-squares mixed finite element formulation for incompressible elastodynamics", PAMM. 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 & 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}
    }
    
Last update on 10/09/2021.