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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.

Dr. Jürgen Fuhrmann

Deputy Head, WIAS Research Group Numerical Mathematics and Scientific Computing

Weierstraß-Institut für Angewandte Analysis und Stochastikugd642mF
Mohrenstr 39
10117 Berlin
+49 (0) 30 20372 560
juergen.fuhrmann@wias-berlin.de
Website


Research focus

Numerical Mathematics
Electrochemistry
Semiconductor Device Simulation

Projects as a project leader

  • CH11

    Sensing with Nanopores

    Dr. Jürgen Fuhrmann / Dr. Clemens Guhlke

    Project heads: Dr. Jürgen Fuhrmann / Dr. Clemens Guhlke
    Project members: -
    Duration: 01.06.2017 - 31.12.2018
    Status: completed
    Located at: Weierstraß-Institut

    Description

    Sensing with nanopores is a promising new technology to analyze macromolecules like DNA strands by low cost/high speed measurements. The sensing device is constructed based on a nanopore embedded into a membrane which separates two electrodes. The system is filled with an electrolyte containing macromolecules to be analyzed. An electric potential is applied to the electrodes and induces an ionic current through the pore. Sensing is based on the observation that this ionic current is influenced by the geometrical configurations of the pore and of the macromolecules positioned within the pore. Under controlled movement of the macromolecule through the pore a characteristic time dependent current signal is generated, which is correlated to the structure of the pore and the macromolecule. Therefore nanopores can be used to count and even to characterize macromolecules in an electrolytic solution. n order to achieve a better understanding of the of phenomena that control the passing time of the analytes (macromolecules) through the nanopore, and to derive a relation between characteristic properties of the macromolecule and the generated current, the project will focus on three groups of tasks: Development of an appropriate nanopore model in the context of non-equilibrium thermodynamics, which accounts for the geometrical properties of pore and analyte, the charged boundary layers, ion diffusion and fluid flow. Combination and analysis of novel numerical discretization schemes, like pressure robust methods for fluid flow and novel finite volume discretization approaches for the PNP system in order to provide physically meaningful numerical models of the double layer structure and its impact on the fluid flow. Use of asymptotic analysis to derive reduced models, which include the relevant features of the complete thermodynamic model in different regimes.

    https://www.wias-berlin.de/projects/ECMath-CH11/
  • SE-AP4

    Perspectives for rechargeable Mg/air batteries

    Dr. Jürgen Fuhrmann

    Project heads: Dr. Jürgen Fuhrmann
    Project members: Dr. Alexander Linke
    Duration: 01.06.2013 - 30.11.2016
    Status: completed
    Located at: Weierstraß-Institut

    Description

    The project aims at the development of macroscopic models for coupled flow and reaction processes in magnesium air batteries and in experimental electochemical cells to investigate its components. On this basis numerical simulation tools are developed to run calculations that support the experiments performed within the joint research project. The development of models and the simulations shall facilitate a deeper understanding of subprocesses and their interrelationship.

    http://www.wias-berlin.de/projects/mgair/index.jsp?lang=1