www.mat.univie.ac.at/~gedicke/

Joscha Gedicke

Universität Wien
Fakultät für Mathematik

address:

Fakultät für Mathematik
Universität Wien
Oskar-Morgenstern-Platz 1
1090 Wien
Austria

contact:

e-mail: joscha.gedicke [at] univie.ac.at
phone: +43-1-4277-50745
fax: +43-1-4277-8-50745
office: 04.122

supported by:

FWF Der Wissenschaftsfonds

Awards

Dr.-Körper-Preis der GAMM 2014

SIAM Student Paper Prize 2013

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Lectures



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Publications

Preprints

  1. S. Congreve, J. Gedicke and I. Perugia
    Robust adaptive hp discontinuous Galerkin finite element methods for the Helmholtz equation, 2018
    [arXiv]
  2. J. Gedicke and A. Khan
    Divergence-conforming discontinuous Galerkin finite elements for Stokes eigenvalue problems, 2018
    [arXiv]
  3. S.C. Brenner, J. Gedicke, and L.-Y. Sung
    P1 finite element methods for an elliptic optimal control problem with pointwise state constraints, 2018
  4. D.L. Brown and J. Gedicke
    Upscaling singular sources in weighted Sobolev spaces by sub-grid corrections, 2018
    [arXiv]
  5. C. Carstensen, D. Gallistl and J. Gedicke
    Residual-based a posteriori error analysis for symmetric mixed Arnold-Winther FEM, 2017
    [arXiv]

Journals

  1. J. Gedicke and A. Khan
    Arnold-Winther mixed finite elements for Stokes eigenvalue problems
    SIAM J. Sci. Comput., accepted, 2018
    [MIMS Preprint | arXiv]
  2. D.L. Brown, J. Gedicke, D. Peterseim
    Numerical homogenization of heterogeneous fractional Laplacians
    Multiscale Model. Simul., accepted, 2018
    [arXiv]
  3. S.C. Brenner, J. Gedicke, and L.-Y. Sung
    C0 interior penalty methods for an elliptic distributed optimal control problem on nonconvex polygonal domains with pointwise state constraints
    SIAM J. Numer. Anal., 56(3):1758-1785, 2018
    [article | preprint]
  4. S.C. Brenner, J. Gedicke, L.-Y. Sung, and Y. Zhang
    An a posteriori analysis of C0 interior penalty methods for the obstacle problem of clamped Kirchhoff plates
    SIAM J. Numer. Anal., 55(1):87-108, 2017
    [article | preprint]
  5. S.C. Brenner, J. Gedicke, and L.-Y. Sung
    Hodge decomposition for two-dimensional time harmonic Maxwell's equations: impedance boundary condition
    Math. Methods Appl. Sci., 40(2):370-390, 2017
    [article | preprint]
  6. C. Carstensen, D. Gallistl and J. Gedicke
    Justification of the saturation assumption
    Numer. Math., 134(1):1-25, 2016
    [article | preprint]
  7. S.C. Brenner, J. Gedicke, and L.-Y. Sung
    An adaptive P1 finite element method for two-dimensional transverse magnetic time harmonic Maxwell's equations with general material properties and general boundary conditions
    Journal of Scientific Computing, 68(2):848-863, 2016
    [article | preprint]
  8. C. Carstensen and J. Gedicke
    Robust residual-based a posteriori Arnold-Winther mixed finite element analysis in elasticity
    Comput. Methods Appl. Mech. Engrg., 300:245-264, 2016
    [article | preprint]
  9. C. Carstensen, J. Gedicke, V. Mehrmann and A. Miedlar
    An adaptive finite element method with asymptotic saturation for eigenvalue problems
    Numer. Math., 128(4):615-634, 2014
    [article | preprint]
  10. C. Carstensen and J. Gedicke
    Guaranteed lower bounds for eigenvalues
    Math. Comp., 83(290):2605-2629, 2014
    [article | preprint]
  11. J. Gedicke and C. Carstensen
    A posteriori error estimators for convection-diffusion eigenvalue problems
    Comput. Methods Appl. Mech. Engrg., 268:160-177, 2014
    [article | preprint]
  12. S.C. Brenner, J. Gedicke, and L.-Y. Sung
    An adaptive P1 finite element method for two-dimensional Maxwell's equations
    Journal of Scientific Computing, 55(3):738-754, 2013
    [article | preprint]
  13. C. Carstensen, J. Gedicke, and E.-J. Park
    Numerical experiments for the Arnold Winther mixed finite elements for the Stokes problem
    SIAM J. Sci. Comput., 34(4): A2267-A2287, 2012
    [article | preprint]
  14. C. Carstensen, J. Gedicke, and D. Rim
    Explicit error estimates for Courant, Crouzeix-Raviart and Raviart-Thomas finite element methods
    J. Comput. Math., 30(4):337-353, 2012
    [article | preprint]
  15. C. Carstensen and J. Gedicke
    An adaptive finite element eigenvalue solver of asymptotic quasi-optimal computational complexity
    SIAM J. Numer. Anal. 50(3):1029-1057, 2012
    [article | preprint]
  16. C. Carstensen, J. Gedicke, V. Mehrmann, and A. Miedlar
    An adaptive homotopy approach for non-selfadjoint eigenvalue problems
    Numer. Math., 119:557-583, 2011
    [article | preprint]
  17. C. Carstensen, M. Eigel, and J. Gedicke
    Computational competition of symmetric mixed FEM in linear elasticity
    Comput. Methods Appl. Mech. Engrg., 200(41-44):2903-2915, 2011
    [article | preprint]
  18. C. Carstensen and J. Gedicke
    An oscillation-free adaptive FEM for symmetric eigenvalue problems
    Numer. Math., 118:401-427, 2011
    [article | preprint]

Proceedings

  1. S. Congreve, J. Gedicke and I. Perugia
    Numerical investigation of the conditioning for plane wave discontinuous Galerkin methods
    In Numerical Mathematics and Advanced Applications - ENUMATH 2017, Lecture Notes in Computational Science and Engineering, Vol. 126, Springer, 2018
    [chapter | arXiv]
  2. J. Gedicke and C. Carstensen
    Robust residual-based a posteriori Arnold-Winther mixed finite element analysis in elasticity
    In Adaptive Algorithms, Oberwolfach Rep., 13(3):2532-2534, 2016
    [report | preprint]
  3. J. Gedicke and A. Khan
    Adaptive finite element methods for Stokes eigenvalue problems
    In Self-Adaptive Numerical Methods for Computationally Challenging Problems, Oberwolfach Rep., 13(3):2420-2421, 2016
    [report | preprint]
  4. J. Gedicke, S.C. Brenner, and L.-Y. Sung
    Hodge decomposition for two-dimensional time harmonic Maxwell's equations
    In Computational Engineering, Oberwolfach Rep., 12(3):2553-2554, 2015
    [report | preprint]
  5. L.-Y. Sung, S.C. Brenner, J. Gedicke, and Y. Zhang
    A posteriori error analysis for C0 interior penalty methods for fourth order variational inequalities
    In Computational Engineering, Oberwolfach Rep., 12(3):2547-2548, 2015
    [report | preprint]
  6. J. Gedicke, S.C. Brenner, and L.-Y. Sung
    Adaptive C0 interior penalty method for biharmonic eigenvalue problems
    In Numerical Solution of PDE Eigenvalue Problems, Oberwolfach Rep., 10(4):3265-3267, 2013
    [report | preprint]
  7. J. Gedicke, C. Carstensen, and M. Eigel
    Computational competition of symmetric mixed FEM in linear elasticity
    In Advanced Computational Engineering, Oberwolfach Rep., 9(1):478-481, 2012
    [report | preprint]
  8. V. Mehrmann, C. Carstensen, J. Gedicke, A. Miedlar, and C. Schröder
    Multi-way adaptive methods for the solution of non-selfadjoint PDE eigenvalue problems
    In Schnelle Löser für Partielle Differntialgleichungen, Oberwolfach Rep., 8(2):1515-1519, 2011
    [report | preprint]
  9. J. Gedicke and C. Carstensen
    Quasi-Optimal Convergence and Computational Complexity of the Adaptive Finite Element Method for Symmetric Elliptic Eigenvalue Problems
    In Linear and nonlinear eigenproblems for PDEs, Oberwolfach Rep., 6(3):2045-2047, 2009
    [report | preprint]
  10. C. Carstensen, J. Gedicke, and I. Livshits
    A posteriori error analysis for eigenvalue problems
    PAMM, 7(1):1026203-1026204, 2007
    [proceeding]

Theses

  1. J. Gedicke, On the Numerical Analysis of Eigenvalue Problems
    Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik,
    PhD Thesis, 2013
    [thesis]
  2. J. Gedicke, A posteriori Fehlerschätzer und adaptives Netzdesign für elliptische Eigenwertprobleme
    Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik,
    Diploma Thesis, 2008
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Talks

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