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Dr.-Ing. Alexander Schwarz

Fakultät für Ingenieurwissenschaften, Abt. Bauwissenschaften, Fachgebiet Mechanik / Computational Mechanics

Anschrift
Universitätsstr. 2
45141 Essen
Raum
R12 S02 H80
Telefon
+49 201 183 2681
Telefax
+49 201 183 26 80
E-Mail
alexander.schwarz@uni-due.de
Sprechzeiten
Mi., 13.00 Uhr - 14.00 Uhr

Funktionen

  • Akad. Oberrätin/-rat, Mechanik

Die folgenden Publikationen sind in der Online-Universitätsbibliographie der Universität Duisburg-Essen verzeichnet. Weitere Informationen finden Sie gegebenenfalls auch auf den persönlichen Webseiten der Person.

    Artikel in Zeitschriften

  • Averweg, Solveigh; Schwarz, Alexander; Schwarz, Carina; Schröder, Jörg
    3D modeling of generalized Newtonian fluid flow with data assimilation using the least-squares finite element method
    In: Computer Methods in Applied Mechanics and Engineering Jg. 392 (2022) 114668
    Online Volltext: dx.doi.org/
  • Brändel, Matthias; Brands, Dominik; Maike, Simon; Rheinbach, Oliver; Schröder, Jörg; Schwarz, Alexander; Stoyan, Dietrich
    Effective hyperelastic material parameters from microstructures constructed using the planar Boolean model
    In: Computational Mechanics Jg. 69 (2022) Nr. 6, S. 1295 - 1321
    Online Volltext: dx.doi.org/ (Open Access)
  • Schröder, Jörg; Wick, Thomas; Reese, Stefanie; Wriggers, Peter; Müller, Ralf; Kollmannsberger, Stefan; Kästner, Markus; Schwarz, Alexander; Igelbüscher, Maximilian; Viebahn, Nils; Bayat, Hamid Reza; Wulfinghoff, Stephan; Mang, Katrin; Rank, Ernst; Bog, Tino; D’Angella, Davide; Elhaddad, Mohamed; Hennig, Paul; Düster, Alexander; Garhuom, Wadhah; Hubrich, Simeon; Walloth, Mirjam; Wollner, Winnifried; Kuhn, Charlotte; Heister, Timo
    A Selection of Benchmark Problems in Solid Mechanics and Applied Mathematics
    In: Archives of Computational Methods in Engineering Jg. 28 (2021) Nr. 2, S. 713 - 751
    Online Volltext: dx.doi.org/ (Open Access)
  • Igelbüscher, Maximilian; Schröder, Jörg; Schwarz, Alexander
    A mixed least-squares finite element formulation with explicit consideration of the balance of moment of momentum, a numerical study
    In: GAMM-Mitteilungen Jg. 43 (2020) Nr. 2, S. e202000009
    Online Volltext: dx.doi.org/ (Open Access)
  • Averweg, Solveigh; Schwarz, Alexander; Nisters, Carina; Schröder, Jörg
    Implicit time discretization schemes for mixed least-squares finite element formulations
    In: Computer Methods in Applied Mechanics and Engineering Jg. 368 (2020) 113111
    Online Volltext: dx.doi.org/
  • Schwarz, Alexander; Bluhm, Joachim; Schröder, Jörg
    Modeling of freezing processes of ice floes within the framework of the TPM
    In: Acta Mechanica (2020)
    Online Volltext: dx.doi.org/
  • Igelbüscher, Maximilian; Schwarz, Alexander; Steeger, Karl; Schröder, Jörg
    Modified mixed least-squares finite element formulations for small and finite strain plasticity
    In: International Journal for Numerical Methods in Engineering Jg. 117 (2019) Nr. 1, S. 141 - 160
    Online Volltext: dx.doi.org/
  • Schwarz, Alexander; Nickaeen, Masoud; Serdas, Serdar; Nisters, Carina; Ouazzi, Abderrahim; Schröder, Jörg; Turek, Stefan
    A comparative study of mixed least-squares FEMs for the incompressible navier-stokes equations
    In: International Journal of Computational Science and Engineering Jg. 17 (2018) Nr. 1, S. 80 - 97
    Online Volltext: dx.doi.org/ Online Volltext (Open Access)
  • Schwarz, Alexander; Dwight, Richard P.
    Data assimilation for Navier-Stokes using the least-squares finite-element method
    In: International Journal for Uncertainty Quantification Jg. 8 (2018) Nr. 5, S. 383 - 403
    Online Volltext: dx.doi.org/ (Open Access)
  • Schwarz, Alexander; Steeger, Karl; Igelbüscher, Maximilian; Schröder, Jörg
    Different approaches for mixed LSFEMs in hyperelasticity : Application of logarithmic deformation measures
    In: International Journal for Numerical Methods in Engineering Jg. 115 (2018) Nr. 9, S. 1138 - 1153
    Online Volltext: dx.doi.org/
  • Nisters, Carina; Schwarz, Alexander
    Efficient stress–velocity least-squares finite element formulations for the incompressible Navier–Stokes equations
    In: Computer Methods in Applied Mechanics and Engineering Jg. 341 (2018) S. 333 - 359
    Online Volltext: dx.doi.org/
  • Nisters, Carina; Schwarz, Alexander; Schröder, Jörg;
    Investigation of stress-velocity LSFEMs for the incompressible Navier-Stokes equations
    88th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), 6-10 March 2017, Weimar, Germany,
    In: Proceedings in Applied Mathematics and Mechanics (PAMM) Jg. 17 (2018) Nr. 1, Special Issue: 88th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), S. 631 - 632
    Online Volltext: dx.doi.org/
  • Schwarz, Alexander; Steeger, Karl; Igelbüscher, Maximilian; Schröder, Jörg;
    Remarks on a modified mixed least-squares finite element formulation for small strain elasto-plasticity
    88th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), 6-10 March 2017, Weimar, Germany,
    In: Proceedings in Applied Mathematics and Mechanics (PAMM) Jg. 17 (2018) Nr. 1, Special Issue: 88th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), S. 311 - 312
    Online Volltext: dx.doi.org/
  • Schröder, Jörg; Igelbüscher, Maximilian; Schwarz, Alexander; Starke, Gerhard
    A Prange–Hellinger–Reissner type finite element formulation for small strain elasto-plasticity
    In: Computer Methods in Applied Mechanics and Engineering Jg. 317 (2017) S. 400 - 418
    Online Volltext: dx.doi.org/
  • Schröder, Jörg; Turek, Stefan; Schwarz, Alexander
    Alles im Fluss : Simulationstechniken der Strömungsmechanik in der Materials Chain
    In: Unikate: Berichte aus Forschung und Lehre (2016) Nr. 48: Materials Chain – Forschung aus dem UA Ruhr-Profilschwerpunkt,
    Online Volltext: dx.doi.org/ Online Volltext (Open Access)
  • Schwarz, Alexander; Igelbüscher, Maximilian; Steeger, Karl; Schröder, Jörg
    Comparison of different least-squares mixed finite element formulations for hyperelasticity
    In: Proceedings in applied mathematics and mechanics: PAMM / 87th Annual Meeting of the Gesellschaft für Angewandte Mathematik und Mechanik, 7 – 11 March 2016, Braunschweig, Germany Jg. 16 (2016) Nr. 1, Special Issue: 87th Annual Meeting of the Gesellschaft für Angewandte Mathematik und Mechanik (GAMM), S. 239 - 240
    Online Volltext: dx.doi.org/
  • Schwarz, Alexander; Schröder, Jörg; Igelbüscher, Maximilian
    On the performance of the Prange-Hellinger-Reissner finite element formulation for elasto-plasticity at small strains
    In: Proceedings in applied mathematics and mechanics: PAMM Jg. 16 (2016) Nr. 1, Special Issue: 87th Annual Meeting of the Gesellschaft für Angewandte Mathematik und Mechanik (GAMM), S. 203 - 204
    Online Volltext: dx.doi.org/
  • Nisters, Carina; Schwarz, Alexander; Steeger, Karl; Schröder, Jörg
    A stress-velocity least-squares mixed finite element formulation for incompressible elastodynamics
    In: Proceedings in applied mathematics and mechanics : PAMM Jg. 15 (2015) Nr. 1, S. 217 - 218
    Online Volltext: dx.doi.org/
  • Steeger, Karl; Schwarz, Alexander; Schröder, Jörg
    Comparison of a mixed least-squares formulation using different approximation spaces
    In: Proceedings in applied mathematics and mechanics: PAMM / 86th Annual Meeting of the Gesellschaft für Angewandte Mathematik und Mechanik, 23 – 27 March 2015, Lecce, Italy Jg. 15 (2015) Nr. 1, Special Issue: Cover image Volume 15, Issue 1 86th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), S. 233 - 234
    Online Volltext: dx.doi.org/
  • Schwarz, Alexander; Steeger, Karl; Schröder, Jörg
    Weighted overconstrained least-squares mixed finite elements for hyperelasticity
    In: Proceedings in applied mathematics and mechanics : PAMM Jg. 15 (2015) Nr. 1, S. 227 - 228
    Online Volltext: dx.doi.org/
  • Schwarz, Alexander; Müller, Benjamin; Starke, Gerhard; Steeger, Karl; Schröder, Jörg
    An improved mixed finite element based on a modified least-squares formulation for hyperelasticity
    In: Proceedings in applied mathematics and mechanics: PAMM / 85th Annual Meeting of the Gesellschaft für Angewandte Mathematik und Mechanik, 10 – 14 March 2014, Erlangen, Germany Jg. 14 (2014) Nr. 1, Special Issue: 85th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), S. 243 - 244
    Online Volltext: dx.doi.org/
  • Schröder, Jörg; Turek, Stefan; Schwarz, Alexander; Serdas, Serdar; Nickaeen, Masoud; Ouazzi, Abderrahim
    Least-squares finite element methods for the Navier-Stokes equations for generalized Newtonian fluids
    In: Proceedings in applied mathematics and mechanics: PAMM / 85th Annual Meeting of the Gesellschaft für Angewandte Mathematik und Mechanik, 10 – 14 March 2014, Erlangen, Germany Jg. 14 (2014) Nr. 1, Special Issue: 85th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), S. 623 - 624
    Online Volltext: dx.doi.org/
  • Steeger, Karl; Müller, Benjamin; Starke, Gerhard; Schröder, Jörg; Schwarz, Alexander
    On a least-squares formulation for hyperelastic, transversely isotropic problems
    In: Proceedings in Applied Mathematics and Mechanics: PAMM / 85th Annual Meeting of the Gesellschaft für Angewandte Mathematik und Mechanik, 10 – 14 March 2014, Erlangen, Germany Jg. 14 (2014) Nr. 1, Special Issue: 85th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), S. 247 - 248
    Online Volltext: dx.doi.org/
  • Schwarz, Alexander; Steeger, Karl; Schröder, Jörg
    Weighted overconstrained least-squares mixed finite elements for static and dynamic problems in quasi-incompressible elasticity
    In: Computational Mechanics Jg. 54 (2014) Nr. 3, S. 603 - 612
    Online Volltext: dx.doi.org/ (Open Access)
  • Wriggers, P.; Schröder, Jörg; Schwarz, Alexander
    A finite element method for contact using a third medium
    In: Computational Mechanics Jg. 52 (2013) Nr. 4, S. 837 - 847
    Online Volltext: dx.doi.org/
  • Müller, Benjamin; Starke, Gerhard; Schwarz, Alexander; Schröder, Jörg
    A first-order system least squares method for hyperelasticity
    In: SIAM journal on scientific computing Jg. 36 (2013) Nr. 5, S. B795 - B816
    Online Volltext: dx.doi.org/
  • Steeger, Karl; Schwarz, Alexander; Schröder, Jörg; Starke, Gerhard; Müller, Benjamin
    Comparison of geometrically nonlinear LSFEM formulations based on different hyperelastic models
    In: Proceedings in applied mathematics and mechanics : PAMM Jg. 13 (2013) Nr. 1, S. 97 - 98
    Online Volltext: dx.doi.org/
  • Serdas, Serdar; Schwarz, Alexander; Schröder, Jörg; Turek, Stefan; Ouazzi, Abderrahim; Nickaeen, Masoud
    Influence of higher interpolation orders in mixed LSFEM for the incompressible Navier-Stokes equations
    In: Proceedings in Applied Mathematics and Mechanics: PAMM / 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), 18 – 22 March 2013, Novi Sad, Serbia Jg. 13 (2013) Nr. 1, Special Issue: 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Novi Sad 2013, S. 301 - 302
    Online Volltext: dx.doi.org/
  • Schwarz, Alexander; Schröder, Jörg; Serdas, Serdar; Turek, Stefan; Ouazzi, Abderrahim; Nickaeen, Masoud
    Performance aspects of a mixed s-v LSFEM for the incompressible Navier-Stokes equations with improved mass conservation
    In: Proceedings in Applied Mathematics and Mechanics: PAMM / 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), 18 – 22 March 2013, Novi Sad, Serbia Jg. 13 (2013) Nr. 1, Special Issue: 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Novi Sad 2013, S. 513 - 514
    Online Volltext: dx.doi.org/
  • Schwarz, Alexander; Schröder, Jörg; Starke, Gerhard; Steeger, Karl
    Least-squares mixed finite elements for hyperelastic material models
    In: Oberwolfach reports: OWR Jg. 9 (2012) Nr. 1, S. 470 - 473
    Online Volltext: dx.doi.org/
  • Schwarz, Alexander; Schröder, Jörg
    On a reduced mixed s-v least-squares finite element formulation for the incompressible Navier-Stokes equations
    In: Proceedings in Applied Mathematics and Mechanics: PAMM / 83rd Annual Meeting of the Gesellschaft für Angewandte Mathematik und Mechanik, 26 – 30 March 2012, Darmstadt, Germany Jg. 12 (2012) Nr. 1, Special Issue: 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Darmstadt 2012, S. 455 - 456
    Online Volltext: dx.doi.org/
  • Steeger, Karl; Müller, Benjamin; Starke, Gerhard; Schwarz, Alexander; Schröder, Jörg
    Solving hyperelastic problems using mixed LSFEM
    In: Proceedings in applied mathematics and mechanics : PAMM Jg. 12 (2012) Nr. 1, S. 2015 - 2016
    Online Volltext: dx.doi.org/
  • Starke, Gerhard; Müller, Benjamin; Schwarz, Alexander; Schröder, Jörg
    Stress-displacement least squares mixed finite element approximation for hyperelastic materials
    In: Oberwolfach reports: OWR Jg. 9 (2012) Nr. 1, S. 467 - 469
    Online Volltext: dx.doi.org/
  • Schwarz, Alexander; Schröder, Jörg
    A mixed least-squares formulation of the Navier-Stokes equations for incompressible Newtonian fluid flow
    In: Proceedings in Applied Mathematics and Mechanics Jg. 11 (2011) Nr. 1,Special Issue: 82nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Graz 2011, S. 589 - 590
    Online Volltext: dx.doi.org/
  • Steeger, Karl; Schwarz, Alexander; Schröder, Jörg
    A weighted least-squares mixed finite element formulation for quasi-incompressible elastodynamics
    In: Proceedings in Applied Mathematics and Mechanics Jg. 11 (2011) Nr. 1, S. 287 - 288
    Online Volltext: dx.doi.org/
  • Starke, Gerhard; Schwarz, Alexander; Schröder, Jörg
    Analysis of a modified First-Order System Least Squares Method for linear Elasticity with improved Momentum Balance
    In: SIAM Journal on Numerical Analysis Jg. 49 (2011) Nr. 3, S. 1006 - 1022
    Online Volltext: dx.doi.org/
  • Steeger, Karl; Schwarz, Alexander; Schröder, Jörg
    A least-squares mixed finite element for quasi-incompressible elastodynamics
    In: Proceedings in Applied Mathematics and Mechanics Jg. 10 (2010) Nr. 1, S. 219 - 220
    Online Volltext: dx.doi.org/
  • Schwarz, Alexander; Schröder, Jörg; Starke, Gerhard
    A modified least-squares mixed finite element with improved momentum balance
    In: International Journal for Numerical Methods in Engineering Jg. 81 (2010) Nr. 3, S. 286 - 306
    Online Volltext: dx.doi.org/
  • Schwarz, Alexander; Schröder, Jörg
    An asymmetric least-squares mixed finite element for elasto-plasticity at small strains
    In: Proceedings in Applied Mathematics and Mechanics: PAMM / 80th Annual Meeting of the Gesellschaft für Angewandte Mathematik und Mechanik, 9 – 13 February 2009, Gdansk, Poland Jg. 9 (2009) Nr. 1, Special Issue: 80th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), S. 235 - 236
    Online Volltext: dx.doi.org/
  • Schwarz, Alexander; Schröder, Jörg; Starke, Gerhard
    Least-squares mixed finite elements for small strain elasto-viscoplasticity
    In: International Journal for Numerical Methods in Engineering Jg. 77 (2009) Nr. 10, S. 1351 - 1370
    Online Volltext: dx.doi.org/
  • Schwarz, Alexander; Schröder, Jörg
    An asymmetric mixed finite element for incompressible elasticity based on a modified least-squares formulation
    In: Proceedings in Applied Mathematics and Mechanics: PAMM / 79th Annual Meeting of the Gesellschaft für Angewandte Mathematik und Mechanik, held 31 March - 4 April 2008, Bremen, Germany Jg. 8 (2008) Nr. 1, Special Issue: 79th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), S. 10341 - 10342
    Online Volltext: dx.doi.org/
  • Ricken, Tim; Bluhm, Joachim; Schwarz, Alexander;
    A triphasic model of transversely isotropic biological tissue with applications to stress and biologically induced growth
    15th International Workshop on Computational Mechanics of Materials (IWCMM-15) ; 19-20 September 2005, Düsseldorf, Germany,
    In: Computational Materials Science Jg. 39 (2007) Nr. 1, S. 124 - 136
    Online Volltext: dx.doi.org/
  • Schwarz, Alexander; Schröder, Jörg
    Least-squares mixed finite elements with applications to anisotropic elasticity and viscoplasticity
    In: Proceedings in Applied Mathematics and Mechanics: PAMM / Sixth International Congress on Industrial Applied Mathematics (ICIAM07) and GAMM Annual Meeting, 16-20 Juli 2007, Zürich Jg. 7 (2007) Nr. 1, Special Issue: Sixth International Congress on Industrial Applied Mathematics (ICIAM07) and GAMM Annual Meeting, S. 4040043 - 4040044
    Online Volltext: dx.doi.org/
  • Ricken, Tim; Bluhm, Joachim; Schwarz, Alexander
    A Triphasic Theory for Growth in Biological Tissue : Basics and Applications
    In: Materials Science and Engineering Technology Jg. 37 (2006) Nr. 6, S. 446 - 456
    Online Volltext: dx.doi.org/
  • Schwarz, Alexander; Schröder, Jörg
    Remarks on a least squares mixed finite element for plane elasticity
    In: Proceedings in Applied Mathematics and Mechanics: PAMM / 77th Annual Meeting of the Gesellschaft für Angewandte Mathematik und Mechanik e.V., 27–31 March 2006, Berlin, Germany Jg. 6 (2006) Nr. 1, Special Issue: GAMM Annual Meeting 2006 – Berlin, S. 265 - 266
    Online Volltext: dx.doi.org/

    • Beiträge in Sammelwerken und Tagungsbänden

  • Igelbüscher, M.; Schröder, Jörg; Schwarz, Alexander; Starke, Gerhard
    Least-Squares Finite Element Formulation for Finite Strain Elasto-Plasticity
    In: Non-standard Discretisation Methods in Solid Mechanics / Schröder, Jörg; Wriggers, Peter (Hrsg.) 2022, S. 149 - 167
    Online Volltext: dx.doi.org/
  • Sunten, Julia; Schwarz, Alexander; Bluhm, Joachim; Schröder, Jörg
    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 8th International Conference on Structural Engineering, Mechanics and Computation, 2022 / 8th International Conference on Structural Engineering, Mechanics and Computation (SEMC 2022): Cape Town, South Africa; 5 - 7 September 2022 / Zingoni, Alphose (Hrsg.) 2022, S. 279 - 284
    Online Volltext: dx.doi.org/
  • Schwarz, Alexander; Bluhm, Joachim; Schröder, Jörg
    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 / 7th International Conference on Structural Engineering, Mechanics, and Computation (SEMC 2019), 02.-04.09.2019, Cape Town, South Africa / Zingoni, Alphose (Hrsg.) 2019, S. 280 - 285
    Online Volltext: dx.doi.org/
  • Nisters, Carina; Schwarz, Alexander; Averweg, Solveigh; Schröder, Jörg
    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 / Altenbach, Holm; Jablonski, Frank; Müller, Wolfgang H. (Hrsg.) Jg. 80 2018, S. 261 - 279
    Online Volltext: dx.doi.org/
  • Schwarz, Alexander; Nisters, Carina; Averweg, Solveigh; Schröder, Jörg
    Stress-velocity mixed least-squares FEMs for the time-dependent incompressible navier-stokes equations
    In: Large-Scale Scientific Computing: Revised Selected Papers / 11th International Conference, LSSC 2017, Sozopol, Bulgaria, June 5-9, 2017 / Lirkov, Ivan D.; Margenov, Svetozar (Hrsg.) 2018, S. 137 - 144
    Online Volltext: dx.doi.org/
  • Schwarz, Alexander; Schröder, Jörg; Steeger, Karl
    A modified least-squares finite element formulation for small strain plasticity
    In: 6th ICCSM: international congress of Croatian Society of Mechanics ; Dubrovnik, Croatia, September 30 - October 2, 2009 : proceedings / International congress of Croatian Society of Mechanics, 30 September - 2 October 2009, Dubrovnik, Croatia / Smojver, Ivica; Soric, J. (Hrsg.) 2009

    • Bücher/Sammelwerke/Tagungsbände

  • Schwarz, Alexander; Nickaeen, Masoud; Serdas, Serdar; Ouazzi, Abderrahim; Schröder, Jörg; Turek, Stefan
    A comparative study of mixed least-squares FEMs for the incompressible Navier-Stokes equations
    Dortmund (2013) 15
    (Ergebnisberichte des Instituts für Angewandte Mathematik ; 478)
    Online Volltext
  • Schwarz, Alexander
    Least squares mixed finite elements for solid mechanics
    Duisburg, Essen (2009) II, 122 S. : zahlr. Ill., graph. Darst.
    (Bericht / Institut für Mechanik, Universität Duisburg-Essen, Fb Bauwissenschaften ; 7)

    • Forschungsberichte

  • Schwarz, Alexander; Kampen, A.; Schröder, Jörg
    On the construction of Raviart-Thomas finite element spaces
    Duisburg (2008)
    (Forschungsberichte / Institut für Mechanik, Universität Duisburg-Essen ; 39)