Alexander Schwarz

Dr.-Ing. Alexander Schwarz

Research » Teaching » Career » Supervised theses » Publications

Research

Development of mixed finite element formulations for

  • the incompressible Navier-Stokes equations
  • isotropic und anisotropic hyperelasticity
  • elasto-(visco)plastic material behaviour at finite strains
  • time-dependent problems
  • fluid-structure-interaction (FSI)
  • theory of porous media (TPM)

Teaching

  • Technische Mechanik 1 (Engineering Mechanics 1: Statics / Elastostatics I)
  • Technische Mechanik 2 (Engineering Mechanics 2: Elastostatics II / Hydromechanics)
  • Technische Mechanik 3 (Engineering Mechanics 3: Dynamics)
  • Bauinformatik (Computer Sciences for Civil Engineers)
  • Finite Element Method: Foundations
  • Nonlinear Finite Element Method
  • Computational Inelasticity
  • Multiphase materials
  • Höhere Mechanik (Advanced Mechanics)

Career

1995 High-school diploma (Abitur), Hohenlohe Gymnasium Öhringen
1995- 1996 Civilian service
1996- 2004 Engineering studies (civil engineering), University of Duisburg-Essen and University of Adelaide
2004 Stipendiary of Deutschen Akademischen Austausch Dienst (DAAD)
2004 Diploma thesis at University of Adelaide, Australia, School of Mechanical Engineering. Title: "Investigations to Second Order Derivatives within Meshfree Approximations"
2005- 2009 Research assistant, Institute of Mechanics, Faculty of Engineering, Department Civil Engineering, University of Duisburg-Essen
2009 Doctoral degree (Dr.-Ing.), University Duisburg Essen, Title: "Least- Squares Mixed Finite Elements for Solid Mechanics"
2010 "Akademischer Rat", Institute of Mechanics, University Duisburg- Essen
2011 Director of the international master degree course Computational Mechanics
2013 Academic senior councilor at the Institute of Mechanics, University Duisburg- Essen

Supervised theses

  • 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.
     
  • Levermann, J. [2016], "Investigation of Newmark time integration schemes for the incompressible Navier-Stokes fluid flow in least-squares finite element methods.", Master thesis, Institut of Mechanics, Dept. of civil engineering, University Duisburg-Essen.
     
  • Endrikat, L. [2016], " Mixed Galerkin finite element method in 2D und 3D for the incompressible Navier-Stokes equations.", Master thesis, Institut of Mechanics, Dept. of civil engineering, University Duisburg-Essen.
     
  • Depenbrock, R. [2016], " On a three- dimensional mixed least-squares finite element formulation interpolating stresses and displacements in H$^1$($\mathcal{B}$) under consideration of small strains.", 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.
     
  • Maassen, S. [2016], "On a geometrically nonlinear least-squares finite element formulation for numerical simulations of piezoelectrical coupling phenomenons. ", Master thesis, Institut of Mechanics, Dept. of civil engineering, University Duisburg-Essen.
     
  • Umar, O. [2015], "Mixed Galerkin finite element formulation for the incompressible Stokes/Navier-Stokes equation for newtonian - and non newtonian fluids.", Master thesis, Institut of Mechanics, Dept. of civil engineering, University Duisburg-Essen.
  • Igelbüscher, M. [2015], Comparsion of geometrically lienar and nonlinear finite element formulations of elasto-plasticity.", Master thesis, Institut of Mechanics, Dept. of civil engineering, University Duisburg-Essen.
  • Bohne, F. [2015], "A velocity-vorticity-pressure least-squares finite element formulation of stationary and instationary laminar newtonian fluid flows.", Master 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.
  • Kugai, S. [2015], "Implementierung und Vergleich der Galerkin und Least-Squares FEM anhand von Transportgleichungen.", 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.
  • Viebahn, N. [2014], "Implementation of higher order finite elementr for quasi-incompressible (non-) linear elasticity in AceGen.", Master thesis, Institut of Mechanics, Dept. of civil engineering, University Duisburg-Essen.
  • Nisters, C. [2013], "Mixed finite element implementation of a two-dimensional strain gradient elasticity model", Master thesis, Institut of Mechancs, Dept. of civil engineering, University Duisburg-Essen.
  • Serdas, S. [2012], "Comparison of stabilization techniques for mixed Galerkin FEM in the field of transport and flow problems.", Master thesis, Institut of Mechanics, Dept. of civil engineering, University Duisburg-Essen.
  • Romanski, L. [2011], "Konstruktion und Implementierung von skalar- und vektorwertigen Ansatzfunktionen höherer Ordnung", Bachelor thesis, Institut of Mechanics, Dept. of civil engineering, University Duisburg-Essen.
  • Saubke, V. [2011], "Numerische Untersuchungen von Viereckselementen für konforme Diskretisierungen in H(div) ", Bachelor thesis, Institut of Mechanics, Dept. of civil engineering, University Duisburg-Essen.
  • Steeger, K. [2010], "A weighted mixed Least-Squares finite element formulation solving linear elastodynamic problems", Master thesis, Institut of Mechanics, Dept. of civil engineering, University Duisburg-Essen.
  • Steeger, K. [2008], "A least-squares mixed finite element formulation based on the St. Venant-Kirchhoff material law", Bachelor thesis, Institut of Mechanics, Dept. of civil engineering, University Duisburg-Essen.
  • Kampen, A. [2007], "Gemischte Least-Squares Finite Elemente für lineare, inkompressible Elastizität", Diploma thesis, Institut of Mechanics, Dept. of civil engineering, University Duisburg-Essen.
  • Bujna, G. [2006], "Berechnung von Raumluftströmungen - Konvergenzstudien strömungsmechanischer Probleme mit dem Programmsystem FLUENT", Diploma thesis, Institut of Mechanics, Dept. of civil engineering, University Duisburg-Essen.

Publications

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Averweg, S., Schwarz, A., Schwarz, C. & Schröder, J. (2024), "A monolithic fluid–structure interaction approach using mixed LSFEM with high-order time integration", Computer Methods in Applied Mechanics and Engineering. Vol. 423, pp. 116783.

[BibTeX]
BibTeX: 
@article{AAAAveSchSchSch2024amfiaumlwhoti,
  author = {Averweg, S. and Schwarz, A. and Schwarz, C. and Schröder, J.},
  title = {A monolithic fluid–structure interaction approach using mixed LSFEM with high-order time integration},
  journal = {Computer Methods in Applied Mechanics and Engineering},
  year = {2024},
  volume = {423},
  pages = {116783}
}
S. Hellebrand, C. Schwarz & J. Schröder (2024), "Advancements in sea ice dynamics modeling based on a mixed least‐squares finite element study with nonconforming stress approximation", Proceedings in Applied Mathematics and Mechanics. , pp. e202400099.

[BibTeX]
BibTeX: 
@article{AAAS.C.J.2024aisidmboamlfeswnsa,
  author = {S. Hellebrand and C. Schwarz and J. Schröder},
  title = {Advancements in sea ice dynamics modeling based on a mixed least‐squares finite element study with nonconforming stress approximation},
  journal = {Proceedings in Applied Mathematics and Mechanics},
  year = {2024},
  pages = {e202400099}
}
Sunten, J., Schwarz, A., Bluhm, J. & Schröder, J. (2024), "Analysis of dynamic problems in fully saturated porous media using an embedded velocity integration formulation with an adaptive Runge–Kutta method", International Journal for Numerical Methods in Engineering. , pp. e7610.

[BibTeX]
BibTeX: 
@article{AAASunSchBluSch2024aodpifspmuaevifwaarm,
  author = {Sunten, J. and Schwarz, A. and Bluhm, J. and Schröder, J.},
  title = {Analysis of dynamic problems in fully saturated porous media using an embedded velocity integration formulation with an adaptive Runge–Kutta method},
  journal = {International Journal for Numerical Methods in Engineering},
  year = {2024},
  pages = {e7610}
}
Koßler, M., Schwarz, A., Bluhm, J. & Schröder, J. (2023), "A coupled finite element formulation for the modeling of freezing processes within the Theory of Porous Media using a discontinuous approximation for the volume fraction ice", Proceedings in Applied Mathematics and Mechanics. Vol. 23(3), pp. e202300074.

[BibTeX] [DOI]
BibTeX: 
@article{AAAKosSchBluSch2023acfefftmofpwttopmuadaftvfi,
  author = {M. Koßler and A. Schwarz and J. Bluhm and J. Schröder},
  title = {A coupled finite element formulation for the modeling of freezing processes within the Theory of Porous Media using a discontinuous approximation for the volume fraction ice},
  journal = {Proceedings in Applied Mathematics and Mechanics},
  year = {2023},
  volume = {23},
  number = {3},
  pages = {e202300074},
  doi = {https://doi.org/10.1002/pamm.202300074}
}
Schwarz, A., Schwarz, C., Bluhm, J. & Schröder, J. (2023), "A mixed least-squares finite element method for a geometrically nonlinear TPM formulation", Proceedings in Applied Mathematics and Mechanics. Vol. 23(4), pp. e202300113.

[BibTeX]
BibTeX: 
@article{AAASchSchBluSch2023amlsfemfagntf,
  author = {Schwarz, A. and Schwarz, C. and Bluhm, J. and Schröder, J.},
  title = {A mixed least-squares finite element method for a geometrically nonlinear TPM formulation},
  journal = {Proceedings in Applied Mathematics and Mechanics},
  year = {2023},
  volume = {23},
  number = {4},
  pages = {e202300113}
}
Sunten, J., Schwarz, A., Bluhm, J. & Schröder, J. (2023), "Mass transport in an excavation using a ternary Theory of Porous Media model", Proceedings in Applied Mathematics and Mechanics. Vol. 23(2), pp. e202300070.

[BibTeX]
BibTeX: 
@article{AAASunSchBluSch2023mtiaeuattopmm,
  author = {Sunten, J. and Schwarz, A. and Bluhm, J. and Schröder, J.},
  title = {Mass transport in an excavation using a ternary Theory of Porous Media model},
  journal = {Proceedings in Applied Mathematics and Mechanics},
  year = {2023},
  volume = {23},
  number = {2},
  pages = {e202300070}
}
Averweg, S., Schwarz, A., Schwarz, C. & Schröder, J. (2022), "3D modeling of generalized Newtonian fluid flow with data assimilation using the least-squares finite element method", Computer Methods in Applied Mechanics and Engineering. Vol. 392, pp. 114668.

[BibTeX]
BibTeX: 
@article{AAAAveSchSchSch20223mognffwdautlsfem,
  author = {Averweg, S. and Schwarz, A. and Schwarz, C. and Schröder, J.},
  title = {3D modeling of generalized Newtonian fluid flow with data assimilation using the least-squares finite element method},
  journal = {Computer Methods in Applied Mechanics and Engineering},
  year = {2022},
  volume = {392},
  pages = {114668}
}
J.N. Sunten, A. Schwarz, J. Bluhm & J. Schröder (2022), "Simulations of elasto-plastic soils within the framework of the Theory of Porous Media", In Current Perspectives and New Directions in Mechanics, Modelling and Design of Structural Systems: Proceedings of the Eigth International Conference on Structural Engineering, Mechanics and Computation (SEMC 2022), Cape Town, South Africa. CRC Press, Oxon, United Kingdom.

[BibTeX]
BibTeX: 
@incollection{SunSchBluSch:2022:soe,
  author = {J.N. Sunten and A. Schwarz and J. Bluhm and J. Schröder},
  title = {Simulations of elasto-plastic soils within the framework of the Theory of Porous Media},
  booktitle = {Current Perspectives and New Directions in Mechanics, Modelling and Design of Structural Systems: Proceedings of the Eigth International Conference on Structural Engineering, Mechanics and Computation (SEMC 2022), Cape Town, South Africa},
  publisher = {CRC Press, Oxon, United Kingdom},
  year = {2022}
}
Averweg, S., Schwarz, A., Schwarz, C. & Schröder, J. (2021), "Least-squares formulation to solve non-Newtonian fluid flow and application of data assimilation in 2D", Proceedings in Applied Mathematics and Mechanics. Vol. 21(1), pp. e202100022.

[BibTeX]
BibTeX: 
@article{AAAAveSchSchSch2021lsftsnnffaaodai2,
  author = {Averweg, S. and Schwarz, A. and Schwarz, C. and Schröder, J.},
  title = {Least-squares formulation to solve non-Newtonian fluid flow and application of data assimilation in 2D},
  journal = {Proceedings in Applied Mathematics and Mechanics},
  year = {2021},
  volume = {21},
  number = {1},
  pages = {e202100022}
}
Bergmann, J., Schwarz, A., Bluhm, J. & Schröder, J. (2021), "Modeling of dynamic behavior in saturated porous media using the Houbolt time integration scheme", Proceedings in Applied Mathematics and Mechanics. , pp. (2 pages).

[BibTeX] [DOI]
BibTeX: 
@article{AAABerSchBluSch2021modbispmuthtis,
  author = {J. Bergmann and A. Schwarz and J. Bluhm and J. Schröder},
  title = {Modeling of dynamic behavior in saturated porous media using the Houbolt time integration scheme},
  journal = {Proceedings in Applied Mathematics and Mechanics},
  year = {2021},
  pages = {(2 pages)},
  note = {10.1002/pamm.202100026},
  doi = {https://doi.org/10.1002/pamm.202100026}
}
Averweg, S., Schwarz, A., Nisters, C. & Schröder, J. (2020), "A least-squares finite element formulation to solve incompressible non-Newtonian fluid flow", Proceedings in Applied Mathematics and Mechanics. Vol. 20(1), pp. e202000169 (2 pages).

[BibTeX]
BibTeX: 
@article{AAAAveSchNisSch2020alsfeftsinnff,
  author = {S. Averweg and A. Schwarz and C. Nisters and J. Schröder},
  title = {A least-squares finite element formulation to solve incompressible non-Newtonian fluid flow},
  journal = {Proceedings in Applied Mathematics and Mechanics},
  year = {2020},
  volume = {20},
  number = {1},
  pages = {e202000169 (2 pages)}
}
Averweg, S., Schwarz, A., Nisters, C. & Schröder, J. (2020), "Implicit time discretization schemes for mixed least-squares finite element formulations", Computer Methods in Applied Mechanics and Engineering. Vol. 368, pp. 113111 (22 pages).

[BibTeX]
BibTeX: 
@article{AAAAveSchNisSch2020itdsfmlsfef,
  author = {S. Averweg and A. Schwarz and C. Nisters and J. Schröder},
  title = {Implicit time discretization schemes for mixed least-squares finite element formulations},
  journal = {Computer Methods in Applied Mechanics and Engineering},
  year = {2020},
  volume = {368},
  pages = {113111 (22 pages)}
}
Igelbüscher, M., Schröder, J. & Schwarz, A. (2020), "A mixed least-squares finite element formulation with explicit consideration of the balance of moment of momentum, a numerical study", GAMM Mitteilungen. Vol. 43(2), pp. e202000009 (17 pages).

[BibTeX] [DOI]
BibTeX: 
@article{AAAIgeSchSch2020amlsfefwecotbomomans,
  author = {Igelbüscher, M. and Schröder, J. and Schwarz, A.},
  title = {A mixed least-squares finite element formulation with explicit consideration of the balance of moment of momentum, a numerical study},
  journal = {GAMM Mitteilungen},
  year = {2020},
  volume = {43(2)},
  pages = {e202000009 (17 pages)},
  doi = {https://doi.org/10.1002/gamm.202000009}
}
Schwarz, A., Bluhm, J. & Schröder, J. (2020), "Investigations on modeling of freezing processes within the framework of the Theory of Porous Media", Proceedings in Applied Mathematics and Mechanics. Vol. 20(1), pp. e202000251 (2 pages).

[BibTeX]
BibTeX: 
@article{AAASchBluSch2020iomofpwtfottopm,
  author = {A. Schwarz and J. Bluhm and J. Schröder},
  title = {Investigations on modeling of freezing processes within the framework of the Theory of Porous Media},
  journal = {Proceedings in Applied Mathematics and Mechanics},
  year = {2020},
  volume = {20},
  number = {1},
  pages = {e202000251 (2 pages)}
}
Schwarz, A., Bluhm, J. & Schröder, J. (2020), "Modeling of freezing processes of ice floes within the framework of the TPM", Acta Mechanica. Vol. 231(8), pp. 3099-3121.

[BibTeX] [DOI]
BibTeX: 
@article{AAASchBluSch2020mofpoifwtfott,
  author = {A. Schwarz and J. Bluhm and J. Schröder},
  title = {Modeling of freezing processes of ice floes within the framework of the TPM},
  journal = {Acta Mechanica},
  year = {2020},
  volume = {231},
  number = {8},
  pages = {3099--3121},
  doi = {https://doi.org/10.1007/s00707-020-02686-8}
}
Schröder, J., Wick, T., Reese, S., Wriggers, P., Müller, R., Kollmannsberger, S., Kästner, M., Schwarz, A., Igelbüscher, M., Viebahn, N., Bayat, H.R., Wulfinghoff, S., Mang, K., Rank, E., Bog, T., D'Angella, D., Elhaddad, M., Hennig, P., Düster, A., Garhuom, W., Hubrich, S., Walloth, M., Wollner, W., Kuhn, C. & Heister, T. (2020), "A selection of benchmark problems in solid mechanics and applied mathematics", Archives of Computational Methods in Engineering. Vol. 28, pp. 713-751.

[BibTeX]
BibTeX: 
@article{AAASchWicReeWriMueKolKaeSchIge2020asobpismaam,
  author = {Schröder, Jörg and Wick, Thomas and Reese, Stefanie and Wriggers, Peter and Müller, Ralf and Kollmannsberger, Stefan and Kästner, Markus and Schwarz, Alexander and Igelbüscher, Maximilian and Viebahn, Nils and Bayat, Hamid Reza and Wulfinghoff, Stephan and Mang, Katrin and Rank, Ernst and Bog, Tino and D'Angella, Davide and Elhaddad, Mohamed and Hennig, Paul and Düster, Alexander and Garhuom, Wadhah and Hubrich, Simeon and Walloth, Mirjam and Wollner, Winnifried and Kuhn, Charlotte and Heister, Timo},
  title = {A selection of benchmark problems in solid mechanics and applied mathematics},
  journal = {Archives of Computational Methods in Engineering},
  year = {2020},
  volume = {28},
  pages = {713--751}
}
Averweg, S., Schwarz, A., Nisters, C. & Schröder, J. (2019), "A least-squares finite element approach to model fluid-structure interaction problems", Proceedings in Applied Mathematics and Mechanics. , pp. e201900204 (2 pages).

[BibTeX] [DOI]
BibTeX: 
@article{AAAAveSchNisSch2019alsfeatmfsip,
  author = {S. Averweg and A. Schwarz and C. Nisters and J. Schröder},
  title = {A least-squares finite element approach to model fluid-structure interaction problems},
  journal = {Proceedings in Applied Mathematics and Mechanics},
  year = {2019},
  pages = {e201900204 (2 pages)},
  doi = {https://doi.org/10.1002/pamm.201900204}
}
Schwarz, A., Averweg, S., Bluhm, J. & Schröder, J. (2019), "A mixed least-squares finite element formulation within the framework of the theory of porous media", Proceedings in Applied Mathematics and Mechanics. , pp. e201900357 (2 pages).

[BibTeX] [DOI]
BibTeX: 
@article{AAASchAveBluSch2019amlsfefwtfottopm,
  author = {A. Schwarz and S. Averweg and J. Bluhm and J. Schröder},
  title = {A mixed least-squares finite element formulation within the framework of the theory of porous media},
  journal = {Proceedings in Applied Mathematics and Mechanics},
  year = {2019},
  pages = {e201900357 (2 pages)},
  doi = {https://doi.org/10.1002/pamm.201900357}
}
Schwarz, A., Bluhm, J. & Schröder, J. (2019), "A finite element formulation for freezing and thawing processes of ice within the framework of the TPM", In Advances in Engineering Materials, Structures and Systems: Innovations, Mechanics and Applications: Proceedings of the 7th International Conference on Structural Engineering, Mechanics and Computation (SEMC 2019), September 2-4, 2019, Cape Town, South Africa., pp. 280-285.

[BibTeX]
BibTeX: 
@inproceedings{SchBluSch:2019:afe,
  author = {A. Schwarz and J. Bluhm and J. Schröder},
  title = {A finite element formulation for freezing and thawing processes of ice within the framework of the TPM},
  booktitle = {Advances in Engineering Materials, Structures and Systems: Innovations, Mechanics and Applications: Proceedings of the 7th International Conference on Structural Engineering, Mechanics and Computation (SEMC 2019), September 2-4, 2019, Cape Town, South Africa},
  year = {2019},
  pages = {280--285}
}
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]
BibTeX: 
@article{AAAAveSchNisSch2018itdsflsfeftmif,
  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)}
}
Igelbüscher, M., Schwarz, A., Steeger, K. & Schröder, J. (2018), "Modified mixed least-squares finite element formulations for small and finite strain plasticity", International Journal for Numerical Methods in Engineering. Vol. 117, pp. 141-160.

[BibTeX]
BibTeX: 
@article{AAAIgeSchSteSch2018mmlsfeffsafsp,
  author = {Igelbüscher, M. and Schwarz, A. and Steeger, K. and Schröder, J.},
  title = {Modified mixed least-squares finite element formulations for small and finite strain plasticity},
  journal = {International Journal for Numerical Methods in Engineering},
  year = {2018},
  volume = {117},
  pages = {141--160}
}
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]
BibTeX: 
@article{AAASchAveNisSch2018afsiawifcc,
  author = {A. Schwarz and S. Averweg 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", International Journal of Computational Science and Engineering. Vol. 17(1), pp. 80-97.

[BibTeX]
BibTeX: 
@article{AAASchNicSerNisOuaSchTur2018acsomlsfftinse,
  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 = {International Journal of Computational Science and Engineering},
  year = {2018},
  volume = {17},
  number = {1},
  pages = {80--97}
}
Schwarz, A., Steeger, K., Igelbüscher, M. & Schröder, J. (2018), "Different approaches for mixed LSFEMs in hyperelasticity: Application of logarithmic deformation measures", International Journal for Numerical Methods in Engineering. Vol. 115, pp. 1138-1153.

[BibTeX]
BibTeX: 
@article{AAASchSteIgeSch2018dafmlihaoldm,
  author = {Schwarz, A. and Steeger, K. and Igelbüscher, M. and Schröder, J.},
  title = {Different approaches for mixed LSFEMs in hyperelasticity: Application of logarithmic deformation measures},
  journal = {International Journal for Numerical Methods in Engineering},
  year = {2018},
  volume = {115},
  pages = {1138--1153}
}
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]
BibTeX: 
@incollection{NisSchAverSch:2017:roa,
  author = {Nisters, C. and Schwarz, A. and Averweg, S. and Schröder, J.},
  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., 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]
BibTeX: 
@inproceedings{SchNisAveSch:2017:svm,
  author = {Schwarz, A. and Nisters, C. and Averweg, S. and Schröder, J.},
  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}
}
Igelbüscher, M., Schwarz, A., Steeger, K. & Schröder, J. (2017), "Remarks on a modified mixed least-squares finite element formulation for small strain elasto-plasticity", Proceedings in Applied Mathematics and Mechanics. Vol. 17, pp. 311-312.

[BibTeX]
BibTeX: 
@article{AAAIgeSchSteSch2017roammlsfeffssep,
  author = {Igelbüscher, M. and Schwarz, A. and Steeger, K. and Schröder, J.},
  title = {Remarks on a modified mixed least-squares finite element formulation for small strain elasto-plasticity},
  journal = {Proceedings in Applied Mathematics and Mechanics},
  year = {2017},
  volume = {17},
  pages = {311--312}
}
Nisters, C., Schwarz, A. & 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]
BibTeX: 
@article{AAANisSchSch2017iosvlftinse,
  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., Igelbüscher, M., Schwarz, A. & Starke, G. (2017), "A Prange-Hellinger-Reissner type finite element formulation for small strain elasto-plasticity", Computer Methods in Applied Mechanics and Engineering. Vol. 317, pp. 400-418.

[BibTeX]
BibTeX: 
@article{AAASchIgeSchSta2017aphrtfeffssep,
  author = {J. Schröder and M. Igelbüscher and A. Schwarz and G. Starke},
  title = {A Prange-Hellinger-Reissner type finite element formulation for small strain elasto-plasticity},
  journal = {Computer Methods in Applied Mechanics and Engineering},
  year = {2017},
  volume = {317},
  pages = {400--418}
}
Igelbüscher, M., Schröder, J. & Schwarz, A. (2016), "On the performance of the Prange-Hellinger-Reissner finite element formulation for elasto-plasticity at small strains", Proceedings in Applied Mathematics and Mechanics. Vol. 16, pp. 203-204.

[BibTeX]
BibTeX: 
@article{AAAIgeSchSch2016otpotphrfeffepass,
  author = {M. Igelbüscher and J. Schröder and A. Schwarz},
  title = {On the performance of the Prange-Hellinger-Reissner finite element formulation for elasto-plasticity at small strains},
  journal = {Proceedings in Applied Mathematics and Mechanics},
  year = {2016},
  volume = {16},
  pages = {203-204}
}
Schwarz, A., Steeger, K., Igelbüscher, M. & Schröder, J. (2016), "Comparison of different least-squares mixed finite element formulations for hyperelasticity", Proceedings in Applied Mathematics and Mechanics. Vol. 16, pp. 239-240.

[BibTeX]
BibTeX: 
@article{AAASchSteIgeSch2016codlsmfeffh,
  author = {A. Schwarz and K. Steeger and M. Igelbüscher and J. Schröder},
  title = {Comparison of different least-squares mixed finite element formulations for hyperelasticity},
  journal = {Proceedings in Applied Mathematics and Mechanics},
  year = {2016},
  volume = {16},
  pages = {239-240}
}
Schröder, J., Turek, S. & Schwarz, A. (2016), "Alles im Fluss -- Simulationstechniken der Strömungsmechanik
in der Materials Chain", In Essener Unikate 48: Materials Chain -- Forschung aus dem UA Ruhr-Profilschwerpunkt. Universität Duisburg--Essen.

[BibTeX]
BibTeX: 
@incollection{SchTurSch:2016:aif,
  author = {J. Schröder and S. Turek and A. Schwarz},
  title = {Alles im Fluss -- Simulationstechniken der Strömungsmechanik
	in der Materials Chain},
  booktitle = {Essener Unikate 48: Materials Chain -- Forschung aus dem UA Ruhr-Profilschwerpunkt},
  publisher = {Universität Duisburg--Essen},
  year = {2016}
}
Nisters, C., Schwarz, A., Steeger, K. & 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]
BibTeX: 
@article{AAANisSchSteSch2015asvlsmfeffie,
  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}
}
Schwarz, A., Steeger, K. & Schröder, J. (2015), "Weighted overconstrained least-squares mixed finite elements for hyperelasticity", Proceedings in Applied Mathematics and Mechanics. Vol. 15, pp. 227-228.

[BibTeX]
BibTeX: 
@article{AAASchSteSch2015wolsmfefh,
  author = {A. Schwarz and K. Steeger and J. Schröder},
  title = {Weighted overconstrained least-squares mixed finite elements for hyperelasticity},
  journal = {Proceedings in Applied Mathematics and Mechanics},
  year = {2015},
  volume = {15},
  pages = {227--228}
}
Steeger, K., Schröder, J. & Schwarz, A. (2015), "Comparison of a mixed least-squares formulation using different approximation spaces", Proceedings in Applied Mathematics and Mechanics. Vol. 15, pp. 233-234.

[BibTeX]
BibTeX: 
@article{AAASteSchSch2015coamlsfudas,
  author = {K. Steeger and J. Schröder and A. Schwarz},
  title = {Comparison of a mixed least-squares formulation using different approximation spaces},
  journal = {Proceedings in Applied Mathematics and Mechanics},
  year = {2015},
  volume = {15},
  pages = {233--234}
}
Müller, B., Starke, G., Schwarz, A. & Schröder, J. (2014), "A first-order system least squares method for hyperelasticity", SIAM Journal on Scientific Computing. Vol. 36, pp. 795-816.

[BibTeX]
BibTeX: 
@article{AAAMueStaSchSch2014afoslsmfh,
  author = {B. Müller and G. Starke and A. Schwarz and J. Schröder},
  title = {A first-order system least squares method for hyperelasticity},
  journal = {SIAM Journal on Scientific Computing},
  year = {2014},
  volume = {36},
  pages = {795--816}
}
Schwarz, A., Steeger, K. & Schröder, J. (2014), "Weighted overconstrained least-squares mixed finite elements for static and dynamic problems in quasi-incompressible elasticity", Computational Mechanics. Vol. 54(1), pp. 603-612.

[BibTeX]
BibTeX: 
@article{AAASchSteSch2014wolsmfefsadpiqie,
  author = {A. Schwarz and K. Steeger and J. Schröder},
  title = {Weighted overconstrained least-squares mixed finite elements for static and dynamic problems in quasi-incompressible elasticity},
  journal = {Computational Mechanics},
  year = {2014},
  volume = {54},
  number = {1},
  pages = {603--612}
}
Schwarz, A., Steeger, K., Schröder, J., Starke, G. & Müller, B. (2014), "An improved mixed finite element based on a modified least-squares formulation for hyperelasticity", Proceedings in Applied Mathematics and Mechanics. Vol. 14, pp. 243-244.

[BibTeX]
BibTeX: 
@article{AAASchSteSchStaMue2014aimfeboamlsffh,
  author = {A. Schwarz and K. Steeger and J. Schröder and G. Starke and B. Müller},
  title = {An improved mixed finite element based on a modified least-squares formulation for hyperelasticity},
  journal = {Proceedings in Applied Mathematics and Mechanics},
  year = {2014},
  volume = {14},
  pages = {243--244}
}
Serdas, S., Schwarz, A., Schröder, J., Turek, S., Ouazzi, A. & Nickaeen, M. (2014), "Least-squares finite element methods for the Navier-Stokes equations for generalized Newtonian fluids", Proceedings in Applied Mathematics and Mechanics. Vol. 14, pp. 623-624.

[BibTeX]
BibTeX: 
@article{AAASerSchSchTurOuaNic2014lsfemftnsefgnf,
  author = {S. Serdas and A. Schwarz and J. Schröder and S. Turek and A. Ouazzi and M. Nickaeen},
  title = {Least-squares finite element methods for the Navier-Stokes equations for generalized Newtonian fluids},
  journal = {Proceedings in Applied Mathematics and Mechanics},
  year = {2014},
  volume = {14},
  pages = {623--624}
}
Steeger, K., Schwarz, A., Schröder, J., Starke, G. & Müller, B. (2014), "On a least-squares formulation for hyperelastic, transversely isotropic problems", Proceedings in Applied Mathematics and Mechanics. Vol. 14, pp. 247-248.

[BibTeX]
BibTeX: 
@article{AAASteSchSchStaMue2014oalsffhtip,
  author = {K. Steeger and A. Schwarz and J. Schröder and G. Starke and B. Müller},
  title = {On a least-squares formulation for hyperelastic, transversely isotropic problems},
  journal = {Proceedings in Applied Mathematics and Mechanics},
  year = {2014},
  volume = {14},
  pages = {247--248}
}
Schwarz, A., Schröder, J., Serdas, S., Turek, S., Ouazzi, A. & Nickaeen, M. (2013), "Performance aspects of a mixed s-v LSFEM for the incompressible Navier-Stokes equations with improved mass conservation", Proceedings in Applied Mathematics and Mechanics. Vol. 13, pp. 513-514.

[BibTeX]
BibTeX: 
@article{AAASchSchSerTurOuaNic2013paoamsvlftinsewimc,
  author = {A. Schwarz and J. Schröder and S. Serdas and S. Turek and A. Ouazzi and M. Nickaeen},
  title = {Performance aspects of a mixed s-v LSFEM for the incompressible Navier-Stokes equations with improved mass conservation},
  journal = {Proceedings in Applied Mathematics and Mechanics},
  year = {2013},
  volume = {13},
  pages = {513--514}
}
Serdas, S., Schwarz, A., Schröder, J., Turek, S., Ouazzi, A. & Nickaeen, M. (2013), "Influence of higher interpolation orders in mixed LSFEM for the incompressible Navier-Stokes equations", Proceedings in Applied Mathematics and Mechanics. Vol. 13, pp. 310-302.

[BibTeX]
BibTeX: 
@article{AAASerSchSchTurOuaNic2013iohioimlftinse,
  author = {S. Serdas and A. Schwarz and J. Schröder and S. Turek and A. Ouazzi and M. Nickaeen},
  title = {Influence of higher interpolation orders in mixed LSFEM for the incompressible Navier-Stokes equations},
  journal = {Proceedings in Applied Mathematics and Mechanics},
  year = {2013},
  volume = {13},
  pages = {310--302}
}
Steeger, K., Schwarz, A., Schröder, J., Starke, G. & Müller, B. (2013), "Comparison of geometrically nonlinear LSFEM formulations based on different hyperelastic models", Proceedings in Applied Mathematics and Mechanics. Vol. 13, pp. 97-98.

[BibTeX]
BibTeX: 
@article{AAASteSchSchStaMue2013cognlfbodhm,
  author = {K. Steeger and A. Schwarz and J. Schröder and G. Starke and B. Müller},
  title = {Comparison of geometrically nonlinear LSFEM formulations based on different hyperelastic models},
  journal = {Proceedings in Applied Mathematics and Mechanics},
  year = {2013},
  volume = {13},
  pages = {97--98}
}
Wriggers, P., Schröder, J. & Schwarz, A. (2013), "A finite element method for contact using a third medium", Computational Mechanics. Vol. 52, pp. 837-847.

[BibTeX]
BibTeX: 
@article{AAAWriSchSch2013afemfcuatm,
  author = {P. Wriggers and J. Schröder and A. Schwarz},
  title = {A finite element method for contact using a third medium},
  journal = {Computational Mechanics},
  year = {2013},
  volume = {52},
  pages = {837--847}
}
Schwarz, A. & Schröder, J. (2012), "On a reduced mixed s-v least-squares finite element formulation for the incompressible Navier-Stokes equations", Proceedings in Applied Mathematics and Mechanics. Vol. 12, pp. 455-456.

[BibTeX]
BibTeX: 
@article{AAASchSch2012oarmsvlsfefftinse,
  author = {A. Schwarz and J. Schröder},
  title = {On a reduced mixed s-v least-squares finite element formulation for the incompressible Navier-Stokes equations},
  journal = {Proceedings in Applied Mathematics and Mechanics},
  year = {2012},
  volume = {12},
  pages = {455--456}
}
Steeger, K., Schwarz, A., Schröder, J., Starke, G. & Müller, B. (2012), "Solving hyperelastic problems using mixed LSFEM", Proceedings in Applied Mathematics and Mechanics. Vol. 12, pp. 215-216.

[BibTeX]
BibTeX: 
@article{AAASteSchSchStaMue2012shpuml,
  author = {K. Steeger and A. Schwarz and J. Schröder and G. Starke and B. Müller},
  title = {Solving hyperelastic problems using mixed LSFEM},
  journal = {Proceedings in Applied Mathematics and Mechanics},
  year = {2012},
  volume = {12},
  pages = {215--216}
}
Schwarz, A., Schröder, J., Starke, G. & Steeger, K. (2012), "Least-squares mixed finite elements for hyperelastic material models", In Report of the Workshop 1207 at the ``Mathematisches Forschungsinstitut
Oberwolfach'' entitled ``Advanced Computational Engineering'', organized
by O. Allix, C. Carstensen, J. Schröder, P. Wriggers., pp. 470-472.

[BibTeX]
BibTeX: 
@inproceedings{SchSchStaSte:2012:lmf,
  author = {A. Schwarz and J. Schröder and G. Starke and K. Steeger},
  title = {Least-squares mixed finite elements for hyperelastic material models},
  booktitle = {Report of the Workshop 1207 at the ``Mathematisches Forschungsinstitut
	Oberwolfach'' entitled ``Advanced Computational Engineering'', organized
	by O. Allix, C. Carstensen, J. Schröder, P. Wriggers},
  year = {2012},
  pages = {470--472}
}
Starke, G., Müller, B., Schwarz, A. & Schröder, J. (2012), "Stress-displacement least squares mixed finite element approximation
for hyperelastic materials", In Report of the Workshop 1207 at the ``Mathematisches Forschungsinstitut
Oberwolfach'' entitled ``Advanced Computational Engineering'', organized
by O. Allix, C. Carstensen, J. Schröder, P. Wriggers., pp. 467-469.

[BibTeX]
BibTeX: 
@inproceedings{StaMueSchSch:2012:sls,
  author = {G. Starke and B. Müller and A. Schwarz and J. Schröder},
  title = {Stress-displacement least squares mixed finite element approximation
	for hyperelastic materials},
  booktitle = {Report of the Workshop 1207 at the ``Mathematisches Forschungsinstitut
	Oberwolfach'' entitled ``Advanced Computational Engineering'', organized
	by O. Allix, C. Carstensen, J. Schröder, P. Wriggers},
  year = {2012},
  pages = {467--469}
}
Schwarz, A. & Schröder, J. (2011), "A mixed least-squares formulation of the Navier-Stokes equations for incompressible Newtonian fluid flow", Proceedings in Applied Mathematics and Mechanics. Vol. 11, pp. 589-590.

[BibTeX]
BibTeX: 
@article{AAASchSch2011amlsfotnsefinff,
  author = {A. Schwarz and J. Schröder},
  title = {A mixed least-squares formulation of the Navier-Stokes equations for incompressible Newtonian fluid flow},
  journal = {Proceedings in Applied Mathematics and Mechanics},
  year = {2011},
  volume = {11},
  pages = {589--590}
}
Starke, G., Schwarz, A. & Schröder, J. (2011), "Analysis of a modified First-Order System Least Squares Method for linear Elasticity with improved Momentum Balance", SIAM Journal on Numerical Analysis. Vol. 49, pp. 1006-1022.

[BibTeX]
BibTeX: 
@article{AAAStaSchSch2011aoamfoslsmflewimb,
  author = {G. Starke and A. Schwarz and J. Schröder},
  title = {Analysis of a modified First-Order System Least Squares Method for linear Elasticity with improved Momentum Balance},
  journal = {SIAM Journal on Numerical Analysis},
  year = {2011},
  volume = {49},
  pages = {1006-1022}
}
Steeger, K., Schwarz, A. & Schröder, J. (2011), "A weighted least-squares mixed finite element formulation for quasi-incompressible elastodynamics", Proceedings in Applied Mathematics and Mechanics. Vol. 11(1), pp. 287-288.

[BibTeX]
BibTeX: 
@article{AAASteSchSch2011awlsmfeffqie,
  author = {K. Steeger and A. Schwarz and J. Schröder},
  title = {A weighted least-squares mixed finite element formulation for quasi-incompressible elastodynamics},
  journal = {Proceedings in Applied Mathematics and Mechanics},
  year = {2011},
  volume = {11},
  number = {1},
  pages = {287--288}
}
Steeger, K., Schwarz, A. & Schröder, J. (2010), "A least-squares mixed finite element for quasi-incompressible elastodynamics", Proceedings in Applied Mathematics and Mechanics. Vol. 10(1), pp. 219-220.

[BibTeX]
BibTeX: 
@article{AAASteSchSch2010alsmfefqie,
  author = {K. Steeger and A. Schwarz and J. Schröder},
  title = {A least-squares mixed finite element for quasi-incompressible elastodynamics},
  journal = {Proceedings in Applied Mathematics and Mechanics},
  year = {2010},
  volume = {10},
  number = {1},
  pages = {219--220}
}
Schwarz, A., Schröder, J. & Starke, G. (2010), "A modified least-squares mixed finite element with improved momentum
balance", International Journal for Numerical Methods in Engineering. Vol. 81, pp. 286-306.

[BibTeX]
BibTeX: 
@article{SchSchSta:2010:aml,
  author = {A. Schwarz and J. Schröder and G. Starke},
  title = {A modified least-squares mixed finite element with improved momentum
	balance},
  journal = {International Journal for Numerical Methods in Engineering},
  year = {2010},
  volume = {81},
  pages = {286--306}
}
Schwarz, A. & Schröder, J. (2009), "An asymmetric least-squares mixed finite element for elasto-plasticity at small strains", Proceedings in Applied Mathematics and Mechanics. Vol. 9, pp. 235-236.

[BibTeX]
BibTeX: 
@article{AAASchSch2009aalsmfefepass,
  author = {A. Schwarz and J. Schröder},
  title = {An asymmetric least-squares mixed finite element for elasto-plasticity at small strains},
  journal = {Proceedings in Applied Mathematics and Mechanics},
  year = {2009},
  volume = {9},
  pages = {235--236}
}
Schwarz, A. & Schröder, J. (2009), "A modified least-squares finite element formulation for small strain plasticity", In Proceedings of ICCSM 2009.

[BibTeX]
BibTeX: 
@inproceedings{AAASchSch2009amlsfeffssp,
  author = {A. Schwarz and J. Schröder},
  title = {A modified least-squares finite element formulation for small strain plasticity},
  booktitle = {Proceedings of ICCSM 2009},
  year = {2009}
}
Schwarz, A., Schröder, J. & Starke, G. (2009), "Least-squares mixed finite elements for small strain elasto-viscoplasticity", International Journal for Numerical Methods in Engineering. Vol. 77, pp. 1351-1370.

[BibTeX]
BibTeX: 
@article{AAASchSchSta2009lsmfefssev,
  author = {A. Schwarz and J. Schröder and G. Starke},
  title = {Least-squares mixed finite elements for small strain elasto-viscoplasticity},
  journal = {International Journal for Numerical Methods in Engineering},
  year = {2009},
  volume = {77},
  pages = {1351--1370}
}
Schwarz, A., Schröder, J. & Steeger, K. (2009), "A modified least-squares Finite Element Formulation for Small Strain
Plasticity", In Proceedings of the International Congress of Croatian Society of
Mechanics (ICCSM), 2009.

[BibTeX]
BibTeX: 
@conference{SchSchSte:2011:amls,
  author = {A. Schwarz and J. Schröder and K. Steeger},
  title = {A modified least-squares Finite Element Formulation for Small Strain
	Plasticity},
  booktitle = {Proceedings of the International Congress of Croatian Society of
	Mechanics (ICCSM), 2009},
  year = {2009}
}
Schwarz, A. & Schröder, J. (2008), "An asymmetric mixed finite element for incompressible elasticity based on a modified least-squares formulation", Proceedings in Applied Mathematics and Mechanics. Vol. 8, pp. 10341-10342.

[BibTeX]
BibTeX: 
@article{AAASchSch2008aamfefieboamlsf,
  author = {A. Schwarz and J. Schröder},
  title = {An asymmetric mixed finite element for incompressible elasticity based on a modified least-squares formulation},
  journal = {Proceedings in Applied Mathematics and Mechanics},
  year = {2008},
  volume = {8},
  pages = {10341--10342}
}
Schwarz, A., Kampen, A. & Schröder, J. (2008), "On the construction of Raviart--Thomas finite element spaces". Institut für Mechanik, Universität Duisburg-EssenInstitut für Mechanik, Universität Duisburg-Essen, Technical Report 39, 2008.

[BibTeX]
BibTeX: 
@techreport{SchKamSch:2008:otc,
  author = {A. Schwarz and A. Kampen and J. Schröder},
  title = {On the construction of Raviart--Thomas finite element spaces},
  school = {Institut für Mechanik, Universität Duisburg-Essen},
  year = {2008},
  number = {39}
}
Schwarz, A. & Schröder, J. (2007), "Least-squares mixed finite elements with applications to anisotropic elasticity and viscoplasticity", Proceedings in Applied Mathematics and Mechanics. Vol. 7, pp. 4040043-4040044.

[BibTeX]
BibTeX: 
@article{AAASchSch2007lsmfewataeav,
  author = {A. Schwarz and J. Schröder},
  title = {Least-squares mixed finite elements with applications to anisotropic elasticity and viscoplasticity},
  journal = {Proceedings in Applied Mathematics and Mechanics},
  year = {2007},
  volume = {7},
  pages = {4040043-4040044}
}
Schwarz, A. & Schröder, J. (2006), "A least square mixed finite element for plane elasticity", Proceedings in Applied Mathematics and Mechanics. Vol. 6, pp. 265-266.

[BibTeX]
BibTeX: 
@article{AAASchSch2006alsmfefpe,
  author = {A. Schwarz and J. Schröder},
  title = {A least square mixed finite element for plane elasticity},
  journal = {Proceedings in Applied Mathematics and Mechanics},
  year = {2006},
  volume = {6},
  pages = {265--266}
}

Stand: 17.09.2026

Dr.-Ing. Alexander Schwarz

Tel. +49 201 183 2681
Room V15 S06 D87

alexander.schwarz@uni-due.de

Contact

University Duisburg-Essen

Faculty of Engineering
Departement of Civil Engineering
Institute of Mechanics
Universitätsstraße 15
Room V15 S06 D87
45141 Essen