Publications (peer-reviewed)

  • U. Köcher, M.P. Bruchhäuser, M. Bause: "Efficient and scalable data structures and algorithms for goal-oriented adaptivity of space-time FEM codes",
    SoftwareX 10(July-December):1-6, 100239, open access, open source, 2019.
    [ arXiv:1812.08558 ] [ code on github:dtm-project/dwr-diffusion ] [ doi:10.1016/j.softx.2019.100239 ]

  • U. Köcher, M. Bause: "A mixed discontinuous-continuous Galerkin time discretisation for Biot's system",
    Preprint, 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",
    in Numer. Math. Adv. Appl. ENUMATH 2017, Lecture Notes in Computational Science and Engineering, vol 126. Springer, Cham, p. 215-223, 2019.
    [ arXiv:1712.05594 ] [ doi:10.1007/978-3-319-96415-7_18 ]

  • J. Both, U. Köcher: "Numerical investigation on the fixed-stress splitting scheme for Biot's equations: Optimality of the tuning parameter",
    in Numer. Math. Adv. Appl. ENUMATH 2017, Lecture Notes in Computational Science and Engineering, vol 126. Springer, Cham, p. 789-797, 2019.
    [ arXiv:1801.08352 ] [ doi:10.1007/978-3-319-96415-7_74 ]

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

  • 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 ]