Research Group of Prof. Dr. Joscha Gedicke

Address:
Institut für Numerische Simulation
Friedrich-Hirzebruch-Allee 7
53115 Bonn
Phone: +49 228 73-69835
Office: FHA7 3.008
E-Mail: ed tod nnob-inu tod sni ta ekcidega tod b@foo tod de

Teaching

Summer semester 2025

Winter semester 2024/25

See teaching activities of the whole group.

Publications

Articles

  1. Generalised gradients for virtual elements and applications to a posteriori error analysis. T. Chaumont-Frelet, J. Gedicke, and L. Mascotto. Math. Comp. (accepted), 2025. BibTeX arXiv
  2. A symmetric interior penalty method for an elliptic distributed optimal control problem with pointwise state constraints. S. C. Brenner, J. Gedicke, and L.-Y. Sung. Comput. Methods Appl. Math., 23(3):565–589, 2023. BibTeX DOI
  3. Adaptive virtual element methods with equilibrated fluxes. F. Dassi, J. Gedicke, and L. Mascotto. Applied Numerical Mathematics, 173:249–278, 2022. BibTeX DOI arXiv
  4. A polynomial-degree-robust a posteriori error estimator for Nédélec discretizations of magnetostatic problems. J. Gedicke, S. Geevers, I. Perugia, and J. Schöberl. SIAM J. Numer. Anal., 59(4):2237–2253, 2021. BibTeX DOI arXiv
  5. \({P}_1\) finite element methods for an elliptic optimal control problem with pointwise state constraints. S. C. Brenner, J. Gedicke, and L.-y. Sung. IMA J. Numer. Anal., 40(1):1–28, 2020. BibTeX DOI
  6. An equilibrated a posteriori error estimator for arbitrary-order Nédélec elements for magnetostatic problems. J. Gedicke, S. Geevers, and I. Perugia. J. Sci. Comput., 83(3):Paper No. 58, 23 pp., 2020. BibTeX DOI arXiv
  7. Divergence-conforming discontinuous Galerkin finite elements for Stokes eigenvalue problems. J. Gedicke and A. Khan. Numer. Math., 144(3):585–614, 2020. BibTeX DOI arXiv
  8. Residual-based a posteriori error analysis for symmetric mixed Arnold-Winther FEM. C. Carstensen, D. Gallistl, and J. Gedicke. Numer. Math., 142(2):205–234, 2019. BibTeX DOI
  9. Robust adaptive hp discontinuous Galerkin finite element methods for the Helmholtz equation. S. Congreve, J. Gedicke, and I. Perugia. SIAM J. Sci. Comput., 41(2):A1121–A1147, 2019. BibTeX DOI arXiv
  10. Benchmark computation of eigenvalues with large defect for non-self-adjoint elliptic differential operators. R. Gasser, J. Gedicke, and S. Sauter. SIAM J. Sci. Comput., 41(6):A3938–A3953, 2019. BibTeX DOI arXiv
  11. \({C}^0\) interior penalty methods for an elliptic distributed optimal control problem on nonconvex polygonal domains with pointwise state constraints. S. C. Brenner, J. Gedicke, and L.-y. Sung. SIAM J. Numer. Anal., 56(3):1758–1785, 2018. BibTeX PDF DOI
  12. Numerical homogenization of heterogeneous fractional Laplacians. D. L. Brown, J. Gedicke, and D. Peterseim. Multiscale Model. Simul., 16(3):1305–1332, 2018. BibTeX DOI arXiv
  13. Arnold-Winther mixed finite elements for Stokes eigenvalue problems. J. Gedicke and A. Khan. SIAM J. Sci. Comput., 40(5):A3449–A3469, 2018. BibTeX DOI arXiv
  14. Hodge decomposition for two-dimensional time-harmonic Maxwell's equation: impedance boundary condition. S. C. Brenner, J. Gedicke, and L.-Y. Sung. Math. Methods Appl. Sci., 40(2):370–390, 2017. BibTeX PDF DOI
  15. An a posteriori analysis of \({C}^0\) interior penalty methods for the obstacle problem of clamped \(\text {Kirchhoff}\) plates. S. C. Brenner, J. Gedicke, L.-Y. Sung, and Y. Zhang. SIAM J. Numer. Anal., 55(1):87–108, 2017. BibTeX PDF DOI
  16. An adaptive \({P}_1\) finite element method for two-dimensional transverse magnetic time harmonic \(\text {Maxwell's}\) equations with general material properties and general boundary conditions. S. C. Brenner, J. Gedicke, and L.-Y. Sung. J. Sci. Comput., 68(2):848–863, 2016. BibTeX PDF DOI
  17. Justification of the saturation assumption. C. Carstensen, D. Gallistl, and J. Gedicke. Numer. Math., 134(1):1–25, 2016. BibTeX PDF DOI
  18. Robust residual-based a posteriori Arnold-Winther mixed finite element analysis in elasticity. C. Carstensen and J. Gedicke. Comput. Methods Appl. Mech. Engrg., 300:245–264, 2016. BibTeX PDF DOI
  19. An adaptive finite element method with asymptotic saturation for eigenvalue problems. C. Carstensen, J. Gedicke, V. Mehrmann, and A. Miedlar. Numer. Math., 128(4):615–634, 2014. BibTeX PDF DOI
  20. Guaranteed lower bounds for eigenvalues. C. Carstensen and J. Gedicke. Math. Comp., 83(290):2605–2629, 2014. BibTeX PDF DOI
  21. A posteriori error estimators for convection-diffusion eigenvalue problems. J. Gedicke and C. Carstensen. Comput. Methods Appl. Mech. Engrg., 268:160–177, 2014. BibTeX PDF DOI
  22. An adaptive \({P}_1\) finite element method for two-dimensional \(\text {Maxwell's}\) equations. S. C. Brenner, J. Gedicke, and L.-Y. Sung. J. Sci. Comput., 55(3):738–754, 2013. BibTeX PDF DOI
  23. An adaptive finite element eigenvalue solver of asymptotic quasi-optimal computational complexity. C. Carstensen and J. Gedicke. SIAM J. Numer. Anal., 50(3):1029–1057, 2012. BibTeX PDF DOI
  24. Numerical experiments for the Arnold-Winther mixed finite elements for the Stokes problem. C. Carstensen, J. Gedicke, and E.-J. Park. SIAM J. Sci. Comput., 34(4):A2267–A2287, 2012. BibTeX PDF DOI
  25. Explicit error estimates for Courant, Crouzeix-Raviart and Raviart-Thomas finite element methods. C. Carstensen, J. Gedicke, and D. Rim. J. Comput. Math., 30(4):337–353, 2012. BibTeX PDF DOI
  26. Computational competition of symmetric mixed FEM in linear elasticity. C. Carstensen, M. Eigel, and J. Gedicke. Comput. Methods Appl. Mech. Engrg., 200(41-44):2903–2915, 2011. BibTeX PDF DOI
  27. An adaptive homotopy approach for non-selfadjoint eigenvalue problems. C. Carstensen, J. Gedicke, V. Mehrmann, and A. Miedlar. Numer. Math., 119(3):557–583, 2011. BibTeX PDF DOI
  28. An oscillation-free adaptive FEM for symmetric eigenvalue problems. C. Carstensen and J. Gedicke. Numer. Math., 118(3):401–427, 2011. BibTeX PDF DOI

Proceedings

  1. Some remarks on the a posteriori error analysis of the mixed Laplace eigenvalue problem. F. Bertrand, D. Boffi, J. Gedicke, and A. Khan. In WCCM-ECCOMAS2020, volume 700 of Numerical Methods and Algorithms in Science and Engineering, pages 1–10. Scipedia, 2021. BibTeX DOI
  2. Numerical investigation of the conditioning for plane wave discontinuous Galerkin methods. S. Congreve, J. Gedicke, and I. Perugia. In Numerical mathematics and advanced applications—ENUMATH 2017, volume 126 of Lect. Notes Comput. Sci. Eng., pages 493–500. Springer, Cham, 2019. BibTeX DOI arXiv
  3. A posteriori error analysis for eigenvalue problems. C. Carstensen, J. Gedicke, and I. Livshits. In Special Issue: Sixth International Congress on Industrial Applied Mathematics (ICIAM07) and GAMM Annual Meeting, Zürich 2007, volume 7 of PAMM, pages 1026203–1026204. 2007. BibTeX DOI