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Since 2019, Matheon's application-oriented mathematical research activities are being continued in the framework of the Cluster of Excellence MATH+
www.mathplus.de
The Matheon websites will not be updated anymore.

Prof. Dr. Ralf Kornhuber

Verantwortlicher Wissenschaftler für Anwendungsfeld Klinische Forschung und Gesundheitswesen

FU Berlin Institut für Mathematik
Arnimallee 6
14195 Berlin
+49 (0) 30 +49 (0)30 838 75350
ralf.kornhuber@fu-berlin.de


Forschungsschwerpunkte

Variational Multiscale Problems; Geometric PDEs; Subspace Correction Methods

Projekte als Projektleiter

  • CH16

    Reliable joint simulations for orthopaedic decision making in hip surgery

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

    Projektleiter: Prof. Dr. Ralf Kornhuber / Dr.-Ing. Stefan Zachow
    Projekt Mitglieder: Dr. Jonathan Youett
    Laufzeit: 01.06.2017 - 31.12.2018
    Status: beendet
    Standort: Freie Universität Berlin

    Beschreibung

    This project aims at estimating the unknown parameters of a physics-based joint model together with a systematic sensitivity analysis, to ensure the reliability of a computer-assisted surgery planning tool developed in previous Matheon projects. The estimation shall be carried out using a Bayesian approach in combination with reduced basis methods to achieve feasible computing times. This calibration of the model will be accompanied by a clinical validation based on real patient data, in cooperation with the Orthopaedic Research Center of the university hospital Stavanger.

    http://www.mi.fu-berlin.de/en/math/groups/ag-numerik/projects/A-CH1/index.html
  • SE-AP7

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

    Prof. Dr. Ralf Kornhuber

    Projektleiter: Prof. Dr. Ralf Kornhuber
    Projekt Mitglieder: -
    Laufzeit: 01.11.2012 - 31.12.2018
    Status: beendet
    Standort: Freie Universität Berlin

    Beschreibung

    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).

    http://www.mi.fu-berlin.de/en/math/groups/ag-numerik/projects/Helmholtz/index.html
  • CH1

    Reduced basis methods in orthopedic hip surgery planning

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

    Projektleiter: Prof. Dr. Ralf Kornhuber / Dr.-Ing. Stefan Zachow
    Projekt Mitglieder: Dr. Jonathan Youett
    Laufzeit: -
    Status: beendet
    Standort: Freie Universität Berlin

    Beschreibung

    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).

    http://www.mi.fu-berlin.de/en/math/groups/ag-numerik/projects-completed/A-CH1/index.html
  • CH-AP11

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

    Prof. Dr. Ralf Kornhuber / Dr. Martin Weiser

    Projektleiter: Prof. Dr. Ralf Kornhuber / Dr. Martin Weiser
    Projekt Mitglieder: -
    Laufzeit: 01.07.2013 - 30.12.2016
    Status: beendet
    Standort: Konrad-Zuse-Zentrum für Informationstechnik Berlin

    Beschreibung

    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.

    http://www.zib.de/projects/wear-simulation-knee-implants-and-shape-optimization-patient-group-specific-wear-minimization