Publications (peer-reviewed)

  • U. Köcher: "High-order space-time-parallel monolithic solvers and preconditioning for the Biot poroelasticity system",
    in preparation, 2018.

  • U. Köcher, M. Bause: "A mixed discontinuous-continuous Galerkin time discretisation for Biot's system",
    Comput. Appl. Math, submitted, p. 1-19, 2018.
    [ arXiv:1805.00771 ]

  • M. Bause, U. Köcher, F. A. Radu, F. Schieweck: "Post-processed Galerkin approximation of improved order for wave equations",
    Math. Comput., submitted, p. 1-34, 2018.
    [ arXiv:1803.03005 ]

  • U. Köcher: "Influence of the SIPG penalisation on the numerical properties of linear systems for elastic wave propagation",
    Numer. Math. Adv. Appl. ENUMATH 2017, accepted, 2017.
    [ arXiv:1712.05594 ]

  • J. Both, U. Köcher: "Numerical investigation on the fixed-stress splitting scheme for Biot's equations: Optimality of the tuning parameter",
    Numer. Math. Adv. Appl. ENUMATH 2017, accepted, 2017.
    [ arXiv:1801.08352 ]

  • M. Bause, F. Radu, U. Köcher: "Space-time finite element approximation of the Biot poroelasticity system with iterative coupling",
    Comput. Meth. Appl. Mech. Engrg. 320:745-768, 2017.
    [ doi:10.1016/j.cma.2017.03.017 ]

  • M. Bause, U. Köcher: "Iterative coupling of variational space-time methods for Biot's system of poroelasticity",
    Numer. Math. Adv. Appl. ENUMATH 2015:143-151, 2016.
    [ doi:10.1007/978-3-319-39929-4_15 ]

  • M. Bause, F. Radu and U. Köcher: "Error analysis for discretizations of parabolic problems using continuous finite elements in time and mixed finite elements in space",
    Numer. Math. 137(4):773-818, open access, 2017.
    [ doi:10.1007/s00211-017-0894-6 ]

  • M. Bause, U. Köcher: "Variational time discretization for mixed finite element approximations of nonstationary diffusion problems",
    J. Comput. Appl. Math. 289:208-224, 2015.
    [ doi:10.1016/j.cam.2015.02.015 ]

  • U. Köcher, M. Bause: "Variational space-time discretisations for the wave equation",
    J. Sci. Comput. 61(2):424-453, 2014.
    [ doi:10.1007/s10915-014-9831-3 ]

Theses

  • U. Köcher: "Variational Space-Time Methods for the Elastic Wave Equation and the Diffusion Equation",
    Ph.D. thesis, Department of Mechanical Engineering of the Helmut-Schmidt-University, University of the German Federal Armed Forces Hamburg, pp. 1-188, 2015.
    [ urn:nbn:de:gbv:705-opus-31129 ]

  • U. Köcher: "Adaption Reduzierter Basen", Diploma thesis (Diplomarbeit), University of Technology Hamburg, Institute of Numerical Simulation, 2011.

  • U. Köcher: "Eine graphische Benutzeroberfläche zur Numerischen Astverfolgung", Small thesis (Studienarbeit), University of Technology Hamburg, Institute of Numerical Simulation, 2010.

Technical references (non-peer-reviewed)

  • U. Köcher: "Space-Time Discretisation and Solver Technology for Biot’s Model of Poroelasticity",
    in Report No. 15/2017, Mathematisches Forschungsinstitut Oberwolfach, p. 35-37, 2017.
    [ doi:10.4171/OWR/2017/15 ]

  • U. Köcher: "Space-Time-Parallel Poroelasticity Simulation",
    Oberwolfach research report, p. 1-2, 2017.
    [ arXiv:1801.04984 ]

  • M. Bause, U. Köcher: "Numerical Simulation of Elastic Wave Propagation in Composite Material", Proceedings of 6th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012), 2012, ISBN 978-3-9502481-9-7.

  • U. Köcher, A. Paprotny: "An implementation of the QR decomposition of real matrices on a Graphic Processing Unit", General Purpose Computations on Graphic Processing Units Seminar, University of Technology Hamburg, Institute of Computer Technology, 2008, not published (preprint).
    [ preprint (pdf) | abstract ]