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Fakultät für Mathematik
Anschrift
Thea-Leymann-Str. 9
45127 Essen
45127 Essen
Raum
WSC-S-4.01
Telefon
E-Mail
Funktionen
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Professor/in, Mathematik / Campus Essen
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Professor/in, Fakultätsrat
Aktuelle Veranstaltungen
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2023 SS
Vergangene Veranstaltungen (max. 10)
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2022 WS
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2022 SS
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.
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Multigrid for the dual formulation of the frictionless Signorini problemIn: International Journal for Numerical Methods in Engineering Jg. 124 (2023) Nr. 10, S. 2367 - 2388ISSN: 0029-5981; 1097-0207Online Volltext: dx.doi.org/ (Open Access)
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A posteriori error estimates by weakly symmetric stress reconstruction for the Biot problemIn: Computers & Mathematics with Applications Jg. 91 (2021) S. 3 - 16ISSN: 0898-1221; 1873-7668Online Volltext: dx.doi.org/ (Open Access)
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Weakly symmetric stress equilibration and a posteriori error estimation for linear elasticityIn: Numerical Methods for Partial Differential Equations Jg. 37 (2021) Nr. 4, S. 2783 - 2802ISSN: 1098-2426; 0749-159XOnline Volltext: dx.doi.org/ (Open Access)
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Weakly symmetric stress equilibration for hyperelastic material modelsIn: GAMM-Mitteilungen Jg. 43 (2020) Nr. 2: Special Issue: Reliable Simulation Techniques in Solid Mechanics – Part II, S. e202000007ISSN: 0936-7195; 1522-2608Online Volltext: dx.doi.org/ (Open Access)
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A Posteriori Error Estimation for Planar Linear Elasticity by Stress ReconstructionIn: Computational Methods in Applied Mathematics Jg. 19 (2019) Nr. 3, S. 663 - 679ISSN: 1609-9389; 1609-4840Online Volltext: dx.doi.org/ (Open Access)
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EditorialIn: Unikate: Berichte aus Forschung und Lehre (2019) Nr. 53: Mathematik: Herausforderung des Nichtlinearen, S. 7 - 8ISBN: 978-3-934359-53-6 ISSN: 0944-6060; 1869-3881Online Volltext: dx.doi.org/ Online Volltext (Open Access)
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An adaptive least-squares fem for linear elasticity with optimal convergence ratesIn: SIAM Journal on Numerical Analysis Jg. 56 (2018) Nr. 1, S. 428 - 447ISSN: 1095-7170Online Volltext: dx.doi.org/ Online Volltext (Open Access)
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A Prange–Hellinger–Reissner type finite element formulation for small strain elasto-plasticityIn: Computer Methods in Applied Mechanics and Engineering Jg. 317 (2017) S. 400 - 418ISSN: 0045-7825Online Volltext: dx.doi.org/
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An adaptive least-squares mixed finite element method for the Signorini problemIn: Numerical Methods for Partial Differential Equations Jg. 33 (2017) Nr. 1, S. 276 - 289ISSN: 1098-2426Online Volltext: dx.doi.org/
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Dev-Div- and DevSym-DevCurl-inequalities for incompatible square tensor fields with mixed boundary conditionsIn: ESAIM Control Optimisation and Calculus of Variations Jg. 22 (2016) Nr. 1, S. 112 - 133ISSN: 1292-8119Online Volltext: dx.doi.org/
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Flächen- und kantenbasierte Finite-Element-Approximationen in der FestkörpermechanikIn: GAMM Rundbrief Jg. 2016 (2016) Nr. 1, S. 4 - 9
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Parametric Raviart-Thomas Elements for Mixed Methods on Domains with Curved SurfacesIn: SIAM journal on numerical analysis Jg. 54 (2016) Nr. 6, S. 3648 - 3667ISSN: 1095-7170Online Volltext: dx.doi.org/
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An improved mixed finite element based on a modified least-squares formulation for hyperelasticityIn: 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 - 244ISSN: 1617-7061Online Volltext: dx.doi.org/
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First-Order System Least Squares for Coupled Stokes–Darcy FlowIn: SIAM journal on numerical analysis Jg. 49 (2014) Nr. 1, S. 387 - 404ISSN: 1095-7170Online Volltext: dx.doi.org/
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First-order system least squares on curved boundaries : higher-order Raviart-Thomas elementsIn: SIAM journal on numerical analysis Jg. 52 (2014) Nr. 6, S. 3165 - 3180ISSN: 0036-1429; 1095-7170Online Volltext: dx.doi.org/
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First-order system least squares on curved boundaries : Lowest-order Raviart-Thomas elementsIn: SIAM Journal on Numerical Analysis Jg. 52 (2014) Nr. 2, S. 880 - 894ISSN: 1095-7170Online Volltext: dx.doi.org/
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New Poincaré-type inequalitiesIn: Comptes rendus mathematique Jg. 352 (2014) Nr. 2, S. 163 - 166ISSN: 1631-073XOnline Volltext: dx.doi.org/
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On a least-squares formulation for hyperelastic, transversely isotropic problemsIn: 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 - 248ISSN: 1617-7061Online Volltext: dx.doi.org/
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A first-order system least squares method for hyperelasticityIn: SIAM journal on scientific computing Jg. 36 (2013) Nr. 5, S. B795 - B816ISSN: 1064-8275; 1095-7197Online Volltext: dx.doi.org/
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Comparison of geometrically nonlinear LSFEM formulations based on different hyperelastic modelsIn: Proceedings in applied mathematics and mechanics : PAMM Jg. 13 (2013) Nr. 1, S. 97 - 98ISSN: 1617-7061Online Volltext: dx.doi.org/
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Some Poincaré type inequalities for quadratic matrix fieldsIn: 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, 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Novi Sad 2013, S. 359 - 360ISSN: 1617-7061Online Volltext: dx.doi.org/
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Least-squares mixed finite elements for hyperelastic material modelsIn: Oberwolfach reports: OWR Jg. 9 (2012) Nr. 1, S. 470 - 473ISSN: 1660-8933Online Volltext: dx.doi.org/
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Solving hyperelastic problems using mixed LSFEMIn: Proceedings in applied mathematics and mechanics : PAMM Jg. 12 (2012) Nr. 1, S. 2015 - 2016ISSN: 1617-7061Online Volltext: dx.doi.org/
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Stress-displacement least squares mixed finite element approximation for hyperelastic materialsIn: Oberwolfach reports: OWR Jg. 9 (2012) Nr. 1, S. 467 - 469ISSN: 1660-8933Online Volltext: dx.doi.org/
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Analysis of a modified First-Order System Least Squares Method for linear Elasticity with improved Momentum BalanceIn: SIAM Journal on Numerical Analysis Jg. 49 (2011) Nr. 3, S. 1006 - 1022ISSN: 1095-7170Online Volltext: dx.doi.org/
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Numerical approximation of water–air two-phase flow by the mixed finite element methodIn: Computers and Geotechnics Jg. 30 (2003) Nr. 8, S. 695 - 705ISSN: 0266-352X
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Least-Squares Finite Element Formulation for Finite Strain Elasto-PlasticityIn: Non-standard Discretisation Methods in Solid Mechanics / Schröder, Jörg; Wriggers, Peter (Hrsg.) 2022, S. 149 - 167ISBN: 978-3-030-92672-4; 978-3-030-92671-7Online Volltext: dx.doi.org/
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Stress Equilibration for Hyperelastic ModelsIn: Non-standard Discretisation Methods in Solid Mechanics / Schröder, Jörg; Wriggers, Peter (Hrsg.) 2022, S. 91 - 105ISBN: 978-3-030-92672-4; 978-3-030-92671-7Online Volltext: dx.doi.org/
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Stress-Based Methods for Quasi-Variational Inequalities Associated with Frictional ContactIn: 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 - 466ISBN: 978-3-030-79393-7; 978-3-030-79392-0Online Volltext: dx.doi.org/
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Equilibrated Stress Reconstruction and a Posteriori Error Estimation for Linear ElasticityIn: Novel Finite Element Technologies for Solids and Structures / Schröder, Jörg; de Mattos Pimenta, Paulo (Hrsg.) 2020, S. 69 - 106ISBN: 978-3-030-33519-9; 978-3-030-33520-5 ISSN: 2309-3706; 0254-1971Online Volltext: dx.doi.org/
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Strong vs. weak symmetry in stress-based mixed finite element methods for linear elasticityIn: 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 - 333ISBN: 978-3-319-96415-7; 978-3-319-96414-0Online Volltext: dx.doi.org/
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Stress-Based Finite Element Methods in Linear and Nonlinear Solid MechanicsIn: Advanced Finite Element Technologies 2016, S. 69 - 104ISBN: 978-3-319-31923-0; 978-3-319-31925-4Online Volltext: dx.doi.org/
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Efficient Solvers for Mixed Finite Element Discretizations of Nonlinear Problems in Solid MechanicsIn: Modelling, Simulation and Software Concepts for Scientific-Technological Problems / Stephan, Ernst; Wriggers, Peter (Hrsg.) 2011, S. 201 - 209ISBN: 978-3-642-20490-6; 978-3-642-20489-0Online Volltext: dx.doi.org/
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Adaptive Least Squares Finite Element Methods in Elasto-PlasticityIn: Large-Scale Scientific Computing: Revised Papers / 7th International Conference, LSSC 2009, Sozopol, Bulgaria, June 4-8, 2009 / Lirkov, Ivan (Hrsg.) 2010, S. 671 - 678ISBN: 978-3-642-12535-5; 978-3-642-12534-8Online Volltext: dx.doi.org/