Research Group of Prof. Dr. Joscha Gedicke

Publications of this group

2023

  1. 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

2022

  1. Adaptive virtual element methods with equilibrated fluxes. F. Dassi, J. Gedicke, and L. Mascotto. Applied Numerical Mathematics, 173:249–278, 2022. BibTeX DOI arXiv

2021

  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. 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

2020

  1. P1P_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
  2. 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
  3. 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

2019

  1. 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
  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. Robust adaptive hphp 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
  4. 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

2018

  1. C0C^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
  2. 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
  3. 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

2017

  1. 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
  2. An a posteriori analysis of C0C^0 interior penalty methods for the obstacle problem of clamped 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

2016

  1. An adaptive P1P_1 finite element method for two-dimensional transverse magnetic time harmonic 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
  2. Justification of the saturation assumption. C. Carstensen, D. Gallistl, and J. Gedicke. Numer. Math., 134(1):1–25, 2016. BibTeX PDF DOI
  3. 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

2014

  1. 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
  2. Guaranteed lower bounds for eigenvalues. C. Carstensen and J. Gedicke. Math. Comp., 83(290):2605–2629, 2014. BibTeX PDF DOI
  3. 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

2013

  1. An adaptive P1P_1 finite element method for two-dimensional Maxwell's equations. S. C. Brenner, J. Gedicke, and L.-Y. Sung. J. Sci. Comput., 55(3):738–754, 2013. BibTeX PDF DOI

2012

  1. 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
  2. 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
  3. 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

2011

  1. 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
  2. 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
  3. An oscillation-free adaptive FEM for symmetric eigenvalue problems. C. Carstensen and J. Gedicke. Numer. Math., 118(3):401–427, 2011. BibTeX PDF DOI

2007

  1. 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