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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

  • Hetzel, Laura; Starke, Gerhard
    Constrained Lᵖ approximation of shape tensors and its role for the determination of shape gradients
    In: Mathematical Control and Related Fields (MCRF), Jg. 15, 2025, Nr. 4, S. 1376 – 1399
    DOI, Online Volltext (Open Access)
  • Starke, Gerhard
    Shape Optimization by Constrained First-Order System Least Mean Approximation
    In: SIAM Journal on Scientific Computing, Jg. 46, 2024, Nr. 5, S. A3044 – A3066
    DOI
  • 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
    DOI (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
    DOI, Online Volltext (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
    DOI (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
    DOI, Online Volltext (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
    DOI, Online Volltext (Open Access)
  • Starke, Gerhard
    Editorial
    In: Unikate: Berichte aus Forschung und Lehre, 2019, Nr. 53: Mathematik: Herausforderung des Nichtlinearen, S. 7 – 8
    DOI, 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
    DOI, 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
    DOI
  • 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
    DOI
  • 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
    DOI
  • 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
    DOI
  • 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), Jg. 14, 2014, Nr. 1, Special Issue: 85th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), S. 243 – 244
    DOI
  • 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
    DOI
  • 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
    DOI
  • 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
    DOI
  • Bauer, Sebastian; Neff, Patrizio; Pauly, Dirk; Starke, Gerhard
    New Poincaré-type inequalities
    In: Comptes Rendus Mathématique, Jg. 352, 2014, Nr. 2, S. 163 – 166
    DOI
  • 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), Jg. 14, 2014, Nr. 1, Special Issue: 85th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), S. 247 – 248
    DOI
  • 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
    DOI
  • 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
    DOI
  • Neff, Patrizio; Bauer, Sebastian; Pauly, Dirk; Starke, Gerhard
    Some Poincaré type inequalities for quadratic matrix fields
    84th Annual Meeting of the Gesellschaft für Angewandte Mathematik und Mechanik,18 – 22 March 2013, Novi Sad, Serbia,
    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
    DOI
  • Schwarz, Alexander; Schröder, Jörg; Starke, Gerhard; Steeger, Karl
    Least-squares mixed finite elements for hyperelastic material models
    In: Oberwolfach Reports, Jg. 9, 2012, Nr. 1, S. 470 – 473
    DOI
  • 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
    DOI
  • Starke, Gerhard; Müller, Benjamin; Schwarz, Alexander; Schröder, Jörg
    Stress-displacement least squares mixed finite element approximation for hyperelastic materials
    In: Oberwolfach Reports, Jg. 9, 2012, Nr. 1, S. 467 – 469
    DOI
  • 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
    DOI
  • 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.). Cham: Springer Nature, 2022, S. 149 – 167
    DOI
  • Bertrand, F.; Moldenhauer, M.; Starke, Gerhard
    Stress Equilibration for Hyperelastic Models
    In: Non-standard Discretisation Methods in Solid Mechanics / Schröder, Jörg; Wriggers, Peter (Hrsg.). Cham: Springer Nature, 2022, S. 91 – 105
    DOI
  • 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.). Cham; Basel; Boston, Mass.; Berlin: Springer, 2022, S. 445 – 466
    DOI
  • 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.). Cham: Springer, 2020, S. 69 – 106
    DOI
  • 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. Cham: Springer Verlag, 2019, S. 323 – 333
    DOI
  • Müller, Benjamin; Starke, Gerhard
    Stress-Based Finite Element Methods in Linear and Nonlinear Solid Mechanics
    In: Advanced Finite Element Technologies. Cham: Springer, 2016, S. 69 – 104
    DOI
  • 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.). Berlin, Heidelberg: Springer Berlin Heidelberg, 2011, S. 201 – 209
    DOI
  • 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.). Berlin, Heidelberg: Springer-Verlag Berlin Heidelberg, 2010, S. 671 – 678
    DOI