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Dr. Peter Lewintan

Fakultät für Mathematik

Anschrift
Thea-Leymann-Str. 9
45127 Essen
Raum
WSC-S-4.11
Telefon
0201/183-6236
E-Mail
peter.lewintan@uni-due.de
Webseite
https://www.uni-due.de/mathematik/ag_neff/lewintan

Funktionen

  • Wiss. Mitarbeiterinnen/Mitarbeiter, Mathematik

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

  • Sky, Adam; Neunteufel, Michael; Lewintan, Peter; Gourgiotis, Panos; Zilian, Andreas; Neff, Patrizio
    Novel Hdev(Curl)-conforming elements on regular triangulations and Clough–Tocher splits for the planar relaxed micromorphic model
    In: Computational Mechanics 2025 , in press
    DOI
  • d’Agostino, Marco Valerio; Martin, Robert; Lewintan, Peter; Bernardini, Davide; Danescu, Alexandre; Neff, Patrizio
    On the representation of fourth- and higher-order anisotropic elasticity tensors in generalized continuum models
    In: Mathematics and Mechanics of Solids (MMS) 2025 , in press
    DOI, Online Volltext (Open Access)
  • Sarhil, Mohammad; Scheunemann, Lisa; Lewintan, Peter; Schröder, Jörg; Neff, Patrizio
    A computational approach to identify the material parameters of the relaxed micromorphic model
    In: Computer Methods in Applied Mechanics and Engineering , Jg. 425 2024, 116944
    DOI (Open Access)
  • Ghiba, Ionel-Dumitrel; Lewintan, Peter; Sky, Adam; Neff, Patrizio
    An essay on deformation measures in isotropic thin shell theories : Bending versus curvature
    In: Mathematics and Mechanics of Solids (MMS) , Jg. 30 2024, Nr. 6, S. 1393 – 1432
    DOI, Online Volltext (Open Access)
  • Gourgiotis, Panos; Rizzi, Gianluca; Lewintan, Peter; Bernardini, Davide; Sky, Adam; Madeo, Angela; Neff, Patrizio
    Green's functions for the isotropic planar relaxed micromorphic model : Concentrated force and concentrated couple
    In: International Journal of Solids and Structures , Jg. 292 2024, 112700
    DOI, Online Volltext (Open Access)
  • Gmeineder, Franz; Lewintan, Peter; Neff, Patrizio
    Korn-Maxwell-Sobolev inequalities for general incompatibilities
    In: Mathematical Models and Methods in Applied Sciences , Jg. 34 2024, Nr. 3, S. 523 – 570
    DOI, Online Volltext (Open Access)
  • Sky, Adam; Neunteufel, Michael; Lewintan, Peter; Zilian, Andreas; Neff, Patrizio
    Novel H(symCurl)-conforming finite elements for the relaxed micromorphic sequence
    In: Computer Methods in Applied Mechanics and Engineering , Jg. 418 2024, 116494
    DOI, Online Volltext (Open Access)
  • Voss, Jendrik; Gourgiotis, Panos; Lewintan, Peter; Sky, Adam; Neff, Patrizio
    Yet another best approximation isotropic elasticity tensor in plane strain
    In: Mathematics and Mechanics of Complex Systems , Jg. 12 2024, Nr. 4, S. 547 – 571
    DOI
  • Gmeineder, Franz; Lewintan, Peter; Neff, Patrizio
    Optimal incompatible Korn–Maxwell–Sobolev inequalities in all dimensions
    In: Calculus of Variations and Partial Differential Equations , Jg. 62 2023, Nr. 6, 182
    DOI, Online Volltext (Open Access)
  • Lewintan, Peter; Neff, Patrizio
    Lp-trace-free generalized Korn inequalities for incompatible tensor fields in three space dimensions
    In: Proceedings of the Royal Society of Edinburgh: Section A: Mathematics , Jg. 152 2022, Nr. 6, S. 1477 – 1508
    DOI, Online Volltext (Open Access)
  • d’Agostino, Marco Valerio; Rizzi, Gianluca; Khan, Hassam; Lewintan, Peter; Madeo, Angela; Neff, Patrizio
    The consistent coupling boundary condition for the classical micromorphic model : existence, uniqueness and interpretation of parameters
    In: Continuum Mechanics and Thermodynamics , Jg. 34 2022, Nr. 6, S. 1393 – 1431
    DOI, Online Volltext (Open Access)
  • Ghiba, Ionel-Dumitrel; Birsan, Mircea; Lewintan, Peter; Neff, Patrizio
    A Constrained Cosserat Shell Model up to Order O(h⁵) : Modelling, Existence of Minimizers, Relations to Classical Shell Models and Scaling Invariance of the Bending Tensor
    In: Journal of Elasticity , Jg. 146 2021, Nr. 1, S. 83 – 141
    DOI, Online Volltext (Open Access)
  • Bozorgnia, Farid; Lewintan, Peter
    Decay estimates for solutions of evolutionary damped p-laplace equations
    In: Electronic Journal of Differential Equations 2021, Nr. 73
  • Lewintan, Peter; Müller, Stefan; Neff, Patrizio
    Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy
    In: Calculus of Variations and Partial Differential Equations , Jg. 60 2021, Nr. 4, 150
    DOI (Open Access)
  • Lewintan, Peter; Neff, Patrizio
    Lp -trace-free version of the generalized Korn inequality for incompatible tensor fields in arbitrary dimensions
    In: Zeitschrift für Angewandte Mathematik und Physik (ZAMP) , Jg. 72 2021, Nr. 3, 127
    DOI (Open Access)
  • Lewintan, Peter; Neff, Patrizio
    Lp-versions of generalized Korn inequalities for incompatible tensor fields in arbitrary dimensions with p-integrable exterior derivative
    In: Comptes Rendus Mathématique , Jg. 359 2021, Nr. 2, S. 749 – 755
    DOI (Open Access)
  • Lewintan, Peter
    Matrix representation of a cross product and related curl-based differential operators in all space dimensions
    In: Open Mathematics , Jg. 19 2021, Nr. 1, S. 1330 – 1348
    DOI, Online Volltext (Open Access)
  • Lewintan, Peter; Neff, Patrizio
    Nečas–Lions lemma revisited : An Lp-version of the generalized Korn inequality for incompatible tensor fields
    In: Mathematical Methods in the Applied Sciences , Jg. 44 2021, Nr. 14, S. 11392 – 11403
    DOI (Open Access)
  • Mohammadi Saem, Maryam; Lewintan, Peter; Neff, Patrizio
    On in-plane drill rotations for Cosserat surfaces
    In: Proceedings of the Royal Society of London, Series A: Mathematical, Physical and Engineering Sciences , Jg. 477 2021, Nr. 2252, 20210158
    DOI, Online Volltext (Open Access)
  • Lewintan, Peter
    On α-minimizing hypercones
    In: Rendiconti del Seminario Matematico dell'Università di Padova , Jg. 143 2020, S. 227 – 246
    DOI, Online Volltext (Open Access)
  • Ghiba, Ionel-Dumitrel; Birsan, Mircea; Lewintan, Peter; Neff, Patrizio
    The Isotropic Cosserat Shell Model Including Terms up to O(h⁵) : Part II: Existence of Minimizers
    In: Journal of Elasticity , Jg. 142 2020, Nr. 2, S. 263 – 290
    DOI, Online Volltext (Open Access)
  • Ghiba, Ionel-Dumitrel; Birsan, Mircea; Lewintan, Peter; Neff, Patrizio
    The Isotropic Cosserat Shell Model Including Terms up to O(h⁵). : Part I: Derivation in Matrix Notation
    In: Journal of Elasticity , Jg. 142 2020, Nr. 2, S. 201 – 262
    DOI, Online Volltext (Open Access)
  • Eberle, Simon; Lewintan, Peter
    Ein Vorschlag zur konsistenten Einführung der Ableitung mit der Zoom-in-Methode
    In: Mathematische Semesterberichte 2019
    DOI
  • Lewintan, Peter
    Geometric calculus of the Gauss map
    In: Advances in Applied Clifford Algebras , Jg. 27 2017, Nr. 1, S. 503 – 521
    DOI, Online Volltext (Open Access)
  • Lewintan, Peter
    The “Wrong Minimal Surface Equation” does not have the Bernstein property
    In: Analysis: International Mathematical Journal of Analysis and its Applications , Jg. 31 2011, Nr. 4, S. 299 – 303
    DOI

    • Bücher/Sammelwerke/Tagungsbände

  • Lewintan, Alexander; Lewintan, Peter
    Einführung in die Differential- und in die Differenzengleichungen
    Berlin: Logos 2022
    DOI, Online Volltext (Open Access)

    • Dissertation

  • Lewintan, Peter
    Über α-minimierende Hyperkegel
    Duisburg, Essen 2017
    Online Volltext (Open Access)