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Research

Our interdisciplinary research group focuses on a variety of topics:

  • Scalable algorithms for large-scale multi-physics simulations
  • Accessible high-performance computing (HPC): reproducibility, interoperability, hardware-independent programm (GPUs)
  • Data-driven methods for numerical methods (Scientific Machine Learning)
  • Research software engineering for HPC
  • Encrypted methods for privacy-preserving computational science
  • Applications in fluid mechanics, astrophysics, atmosphere science, biomechanics

Among other activities, our lab is currently involved in the following research projects:

  • DFG Research Unit FOR5409 SNuBIC:
    Structure-Preserving Numerical Methods for Bulk- and Interface Coupling of Heterogeneous Models
  • DFG Project ACTRIX:
    Accessible extreme-scale computing with Trixi.jl and the Julia programming language
  • BMBF Project ADAPTEX:
    Adaptive Earth system modelling with strongly reduced computation time for exascale-supercomputers
  • PASC Project? GPU4GEO:
    Differentiable multi-physics solvers for extreme-scale geophysics simulations on GPUs

The HPSC Lab promotes good research software engineering practices and open-source software, and members of the lab are key contributors to the Trixi Framework, especially in the following software projects:

  • Trixi.jl: Adaptive high-order numerical simulations of conservation laws in Julia
  • libtrixi: Interface library for using Trixi.jl from C/C++/Fortran
  • TrixiParticles.jl: Particle-based multiphysics simulations in Julia
Furthermore, we develop and maintain software package for accessible privacy-preserving computational science using fully homomorphic encryption:
  • SecureArithmetic.jl:?Secure arithmetic operations using fully homomorphic encryption
  • OpenFHE.jl:?Fully homomorphic encryption in Julia using OpenFHE

Interested in writing a Bachelor/Master thesis or in a hiwi job? Please send an email to Michael Schlottke-Lakemper.

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