Prof. Dr. Christian Kreuzer - Veröffentlichungen

Publications

  • Emmanuil Georgoulis and Christian Kreuzer:
    Convergence of adaptive discontinuous Galerkin methods
    submitted

  • Kristina Kohls, Christian Kreuzer, Arnd Rösch, Kunibert G. Siebert:
    Convergence of adaptive finite Elements for optimal control problems with control constrains
    <Preprint>

  • Fernando Gaspoz, Christian Kreuzer, Kunibert G. Siebert, Daniel Ziegler:
    A convergent time-space adaptive dG(s) finite element method for parabolic problems motivated by equal error distribution
    submitted
    <arXiv>

  • Christian Kreuzer, Endre Süli:
    Adaptive Finite element approximation of steady flows of incompressible fluids with implicit power-law-like rheology
    M2AN, 50(5), pp. 1333-1369 (2016); <internet service provider>
    <arXiv>

  • Christian Kreuzer, Mira Schedensack:
    Instance optimal Crouzeix-Raviart adaptive finite element methods for the Poisson and Stokes problems
    IMA J. Numer. Anal. 36(2), 593–617 (2016) <internet service provider>
    <arXiv>

  • Lars Diening, Christian Kreuzer, Rob Stevenson:
    Instance optimality of the adaptive maximum strategy
    Found. Comput. Math. 16(1), 33-68 (2016); <internet service provider>
    <arXiv>

  • Christian Kreuzer:
    A Note on Why Enforcing Discrete Maximum Principles by a Simple a Posteriori Cutoff is a Good Idea
    Numer. Methods Partial Differential Equations, 30(3), 994-1002 (2014); <internet service provider>
    <arXiv>

  • Lars Diening, Christian Kreuzer, Endre Süli:
    Finite Element Approximation of Steady Flows of Incompressible Fluids with Implicit Power-Law-Like Rheology
    SIAM J. Numer. Anal., 51(2), 984-1015 (2013); <internet service provider>
    Technical Report No. 1509, University of Oxford, 14. April 2012 <Download>;
    <arXiv>

  • Lars Diening, Christian Kreuzer, Sebastian Schwarzacher:
    Convex hull property and maximum principles for finite element minimizers of general convex functionals
    Numer. Math., 124(4), 685-700 (2013); <internet service provider>
    Technical Report No. 1501, University of Oxford, 27. March 2012 <Download>;
    <arXiv>

  • Christian Kreuzer:
    Reliable and Efficient A Posteriori Error Estimates for Finite Element Approximations of the Parabolic p-Laplacian
    Calcolo, 50(2): 79-110 (2013); <internet service provider>
    Numerical Analysis Technical Report No. 1457, University of Oxford, 20. December 2011 <Download>;

  • Christian Kreuzer, Christian A. Möller, Alfred Schmidt, Kunibert G. Siebert:
    Design and Convergence Analysis for an Adaptive Discretization of the Heat Equation
    IMA J. Numer. Anal., 32(4), 1375-1403 (2012); <internet service provider>

  • Liudmilla Belenki, Lars Diening, Christian Kreuzer:
    Optimality of an Adaptive Finite Element Method for the p-Laplacian Equation
    IMA J. Numer. Anal., 32(2), 484-510 (2012); <internet service provider>

  • Christian Kreuzer:
    Analysis of an Adaptive Uzawa Finite Element Method for the Nonlinear Stokes Problem
    Math. Comp., 81, 21-55 (2012); <internet service provider>

  • Christian Kreuzer, Kunibert G. Siebert:
    Decay Rates of Adaptive Finite Elements with Dörfler Marking
    Numer. Math., 117(4), 679-716 (2011); <internet service provider>

  • Christian Kreuzer:
    A Convergent Adaptive Uzawa Finite Element Method for the Nonlinear Stokes Problem
    Dissertation, Universität Augsburg, 2008; (corrected version as pdf)

  • J. Manuel Cascon, Christian Kreuzer, Ricardo H. Nochetto, Kunibert G. Siebert:
    Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method
    SIAM J. Numer. Anal., 46(5), 2524-2550 (2008); <internet service provider>

  • Lars Diening, Christian Kreuzer:
    Convergence of Adaptive Finite Element Methods for p-Laplacian Like Equations
    SIAM J. Numer. Anal., 46(2), 614-638 (2008); <internet service provider>

  • Christian Kreuzer:
    Globale Zweige schwacher Lösungen elliptischer Systeme über Gebieten mit nichtglattem Rand
    Diplomarbeit, Lehrstuhl für Nichtlineare Analysis, Universität Augsburg, 2005