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Prof. Dr. rer. nat. Gerhard Starke

Fakultät für Mathematik

Anschrift
Thea-Leymann-Str. 9
45127 Essen
Raum
WSC-S-4.01
Telefon
+ 49 201 183 23 39
E-Mail
gerhard.starke@uni-due.de

Funktionen

  • Professor/in, Mathematik / Campus Essen

  • Professor/in, Fakultätsrat

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

  • Rovi, Gabriele; Kober, Bernhard; Starke, Gerhard; Krause, Rolf
    Multigrid for the dual formulation of the frictionless Signorini problem
    In: International Journal for Numerical Methods in Engineering Jg. 124 (2023) Nr. 10, S. 2367 - 2388
    Online Volltext: dx.doi.org/ (Open Access)
  • Bertrand, Fleurianne; Starke, Gerhard
    A posteriori error estimates by weakly symmetric stress reconstruction for the Biot problem
    In: Computers & Mathematics with Applications Jg. 91 (2021) S. 3 - 16
    Online Volltext: dx.doi.org/ (Open Access)
  • Bertrand, Fleurianne; Kober, Bernhard; Moldenhauer, Marcel; Starke, Gerhard
    Weakly symmetric stress equilibration and a posteriori error estimation for linear elasticity
    In: Numerical Methods for Partial Differential Equations Jg. 37 (2021) Nr. 4, S. 2783 - 2802
    Online Volltext: dx.doi.org/ (Open Access)
  • Bertrand, Fleurianne; Moldenhauer, Marcel; Starke, Gerhard
    Weakly symmetric stress equilibration for hyperelastic material models
    In: GAMM-Mitteilungen Jg. 43 (2020) Nr. 2: Special Issue: Reliable Simulation Techniques in Solid Mechanics – Part II, S. e202000007
    Online Volltext: dx.doi.org/ (Open Access)
  • Bertrand, Fleurianne; Moldenhauer, Marcel; Starke, Gerhard
    A Posteriori Error Estimation for Planar Linear Elasticity by Stress Reconstruction
    In: Computational Methods in Applied Mathematics Jg. 19 (2019) Nr. 3, S. 663 - 679
    Online Volltext: dx.doi.org/ (Open Access)
  • Starke, Gerhard
    Editorial
    In: Unikate: Berichte aus Forschung und Lehre (2019) Nr. 53: Mathematik: Herausforderung des Nichtlinearen, S. 7 - 8
    Online Volltext: dx.doi.org/ Online Volltext (Open Access)
  • Bringmann, P.; Carstensen, C.; Starke, Gerhard
    An adaptive least-squares fem for linear elasticity with optimal convergence rates
    In: SIAM Journal on Numerical Analysis Jg. 56 (2018) Nr. 1, S. 428 - 447
    Online Volltext: dx.doi.org/ Online Volltext (Open Access)
  • 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/
  • Krause, Rolf; Müller, Benjamin; Starke, Gerhard
    An adaptive least-squares mixed finite element method for the Signorini problem
    In: Numerical Methods for Partial Differential Equations Jg. 33 (2017) Nr. 1, S. 276 - 289
    Online Volltext: dx.doi.org/
  • Bauer, Sebastian; Neff, Patrizio; Pauly, Dirk; Starke, Gerhard
    Dev-Div- and DevSym-DevCurl-inequalities for incompatible square tensor fields with mixed boundary conditions
    In: Control, Optimisation and Calculus of Variations (ESAIM-COCV) Jg. 22 (2016) Nr. 1, S. 112 - 133
    Online Volltext: dx.doi.org/
  • Müller, Benjamin; Starke, Gerhard
    Flächen- und kantenbasierte Finite-Element-Approximationen in der Festkörpermechanik
    In: GAMM Rundbrief / Gesellschaft für Angewandte Mathematik und Mechanik Jg. 2016 (2016) Nr. 1, S. 4 - 9
    Online Volltext
  • Bertrand, Fleurianne; Starke, Gerhard
    Parametric Raviart-Thomas Elements for Mixed Methods on Domains with Curved Surfaces
    In: SIAM Journal on Numerical Analysis Jg. 54 (2016) Nr. 6, S. 3648 - 3667
    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/
  • Münzenmaier, Steffen; Starke, Gerhard
    First-Order System Least Squares for Coupled Stokes–Darcy Flow
    In: SIAM journal on numerical analysis Jg. 49 (2014) Nr. 1, S. 387 - 404
    Online Volltext: dx.doi.org/
  • Bertrand, Fleurianne; Münzenmaier, Steffen; Starke, Gerhard
    First-order system least squares on curved boundaries : Lowest-order Raviart-Thomas elements
    In: SIAM Journal on Numerical Analysis Jg. 52 (2014) Nr. 2, S. 880 - 894
    Online Volltext: dx.doi.org/
  • Bertrand, Fleurianne; Münzenmaier, Steffen; Starke, Gerhard
    First-order system least squares on curved boundaries : higher-order Raviart-Thomas elements
    In: SIAM journal on numerical analysis Jg. 52 (2014) Nr. 6, S. 3165 - 3180
    Online Volltext: dx.doi.org/
  • Bauer, Sebastian; Neff, Patrizio; Pauly, Dirk; Starke, Gerhard
    New Poincaré-type inequalities
    In: Comptes rendus mathematique Jg. 352 (2014) Nr. 2, S. 163 - 166
    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/
  • 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/
  • Neff, Patrizio; Bauer, Sebastian; Pauly, Dirk; Starke, Gerhard
    Some Poincaré type inequalities for quadratic matrix fields
    In: Proceedings in Applied Mathematics and Mechanics (PAMM) Jg. 13 (2013) Nr. 1, 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Novi Sad 2013, S. 359 - 360
    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/
  • 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/
  • 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/
  • Korsawe, Johannes; Perau, Eugen; Potthoff, Susanne; Starke, Gerhard
    Numerical approximation of water–air two-phase flow by the mixed finite element method
    In: Computers and Geotechnics Jg. 30 (2003) Nr. 8, S. 695 - 705

    • 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/
  • Bertrand, F.; Moldenhauer, M.; Starke, Gerhard
    Stress Equilibration for Hyperelastic Models
    In: Non-standard Discretisation Methods in Solid Mechanics / Schröder, Jörg; Wriggers, Peter (Hrsg.) 2022, S. 91 - 105
    Online Volltext: dx.doi.org/
  • Kober, Bernhard; Starke, Gerhard; Krause, Rolf; Rovi, Gabriele
    Stress-Based Methods for Quasi-Variational Inequalities Associated with Frictional Contact
    In: Non-Smooth and Complementarity-Based Distributed Parameter Systems: Simulation and Hierarchical Optimization / Hintermüller, Michael; Herzog, Roland; Kanzow, Christian; Ulbrich, Michael; Ulbrich, Stefan (Hrsg.) 2022, S. 445 - 466
    Online Volltext: dx.doi.org/
  • Bertrand, Fleurianne; Kober, Bernhard; Moldenhauer, Marcel; Starke, Gerhard
    Equilibrated Stress Reconstruction and a Posteriori Error Estimation for Linear Elasticity
    In: Novel Finite Element Technologies for Solids and Structures / Schröder, Jörg; de Mattos Pimenta, Paulo (Hrsg.) 2020, S. 69 - 106
    Online Volltext: dx.doi.org/ (Open Access)
  • Kober, Bernhard; Starke, Gerhard
    Strong vs. weak symmetry in stress-based mixed finite element methods for linear elasticity
    In: Numerical Mathematics and Advanced Applications: ENUMATH 2017 / European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2017; Voss; Norway; 25 - 27 September 2017 2019, S. 323 - 333
    Online Volltext: dx.doi.org/
  • Müller, Benjamin; Starke, Gerhard
    Stress-Based Finite Element Methods in Linear and Nonlinear Solid Mechanics
    In: Advanced Finite Element Technologies 2016, S. 69 - 104
    Online Volltext: dx.doi.org/
  • Starke, Gerhard
    Efficient Solvers for Mixed Finite Element Discretizations of Nonlinear Problems in Solid Mechanics
    In: Modelling, Simulation and Software Concepts for Scientific-Technological Problems / Stephan, Ernst; Wriggers, Peter (Hrsg.) 2011, S. 201 - 209
    Online Volltext: dx.doi.org/
  • Starke, Gerhard
    Adaptive Least Squares Finite Element Methods in Elasto-Plasticity
    In: Large-Scale Scientific Computing: Revised Papers / 7th International Conference, LSSC 2009, Sozopol, Bulgaria, June 4-8, 2009 / Lirkov, Ivan (Hrsg.) 2010, S. 671 - 678
    Online Volltext: dx.doi.org/