Prof. Dr. Ralf Kornhuber

Scientist in Charge for Application Area Clinical Research and Health Care

FU Berlin Institut für Mathematik
Arnimallee 6
14195 Berlin
+49 (0) 30 +49 (0)30 838 75350

Research focus

Variational Multiscale Problems; Geometric PDEs; Subspace Correction Methods

Projects as a project leader

  • A-CH1

    Reduced basis methods in orthopedic hip surgery planning

    Prof. Dr. Ralf Kornhuber / Dr.-Ing. Stefan Zachow

    Project heads: Prof. Dr. Ralf Kornhuber / Dr.-Ing. Stefan Zachow
    Project members: Dr. Jonathan Youett
    Duration: -
    Status: running
    Located at: Freie Universität Berlin


    This project aims at the development, analysis and implementation of algorithms for computer-assisted planning in hip surgery and hip joint replacement by fast virtual test. Fast forward simulations of patient-specific motion of hip joints and implants in 3D shall be enabled by exploiting suitable a priori information. To this end, we will derive, analyze, and implement reduced basis methods for heterogeneous joint models (reduced approximation).
  • C-AP7

    Understanding of microstructure evolution in copper indium selenide (CISe) and copper gallium indium selenide (CGSe)

    Prof. Dr. Ralf Kornhuber

    Project heads: Prof. Dr. Ralf Kornhuber
    Project members: -
    Duration: 01.11.2012 - 31.10.2017
    Status: running
    Located at: Freie Universität Berlin


    Photovoltaic devices, which operate by directly converting solar energy into electricity, have become rapidly one of the most important “clean” energy sources. The optimization of thin-film solar cells for such use has been mainly a trial-and-error process. A detailed understanding of the relationships between growth processes, structural defects, strain, and electrical properties would benefit the development of these devices considerably. In the Virtual Institute "Microstructure control for thin-film solar cells", the formation of structural defects and related strain during the growth of thin film solar cells is investigated by combining various experimental as well as simulation approaches. The goal of this subproject is to derive vector-valued phase field models describing CISe (CIGSe) systems (Wagner, TU Berlin) together with fast, robust, and reliable numerical solution techniques (Kornhuber, FU Berlin). Suitable free energies will be determined by density functional theory (Albe, TU Darmstadt).

  • A-AP11

    Wear Simulation of Knee Implants and Shape Optimization for Patient-group specific Wear Minimization

    Prof. Dr. Ralf Kornhuber / Dr. Martin Weiser

    Project heads: Prof. Dr. Ralf Kornhuber / Dr. Martin Weiser
    Project members: -
    Duration: 01.07.2013 - 30.12.2016
    Status: completed
    Located at: Konrad-Zuse-Zentrum für Informationstechnik Berlin


    For the market admittance of joint implants, a standardized wear test has to be performed. During the design phase, similar tests are necessary as well. Those tests are very cost and time expensive. The project aims at the development of simulation and optimization methods for substituting some of the design phase tests by simulations. Additionally, the design process shall be accelerated by shape optimization, and the offered implants be tailored to the patient population by taking different patient groups into account.

    Focus of the work at ZIB is the long-time integration of wear trajectories. The implant geometry is modified due to wear, which in turn changes the wear rate. The evolution is determined by the wear of one load cycle, the simulation of which is computationally expensive. We develop adaptive methods for controlling tolerance, order, and time step for an efficient simulation of many load cycles.