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Faculty of Mathematics and Natural SciencesProf. Dr. Axel Klawonn

Publications (Dr. J. Knepper)

ORCID: https://orcid.org/0000-0002-8769-2235

Refereed Publications

  1. Daniel Balzani, Alexander Heinlein, Axel Klawonn, Jascha Knepper, Sharan Nurani Ramesh, Oliver Rheinbach, Lea Sassmannshausen, Klemens Uhlmann
    "A computational framework for pharmaco-mechanical interactions in arterial walls using parallel monolithic domain decomposition methods"
    GAMM-Mitteilungen 47(1), e202370002, 2024
    https://doi.org/10.1002/gamm.202370002, Preprint
  2. Alexander Heinlein, Axel Klawonn, Jascha Knepper, Oliver Rheinbach, Olof B. Widlund
    "Adaptive GDSW Coarse Spaces of Reduced Dimension for Overlapping Schwarz Methods"
    SIAM J. Sci. Comput. 44, no. 3, A1176-A1204, 2022
    https://doi.org/10.1137/20M1364540, PDF, Preprint
  3. Daniel Giese, Alexander Heinlein, Axel Klawonn, Jascha Knepper, Kristina Peters
    "Comparison of MRI measurements and CFD simulations of hemodynamics in intracranial aneurysms using a 3D printed model - A benchmark problem"
    PAMM, Volume 19, Issue 1, e201900398, 2019
    https://doi.org/10.1002/pamm.201900398, Preprint
  4. Daniel Giese, Alexander Heinlein, Axel Klawonn, Jascha Knepper, Kristina Peters
    "Comparison of MRI measurements and CFD simulations of hemodynamics in intracranial aneurysms using a 3D printed model - Influence of noisy MRI measurements"
    PAMM, Volume 19, Issue 1, e201900401, 2019
    https://doi.org/10.1002/pamm.201900401, Preprint
  5. Alexander Heinlein, Axel Klawonn, Jascha Knepper, Oliver Rheinbach
    "Adaptive GDSW Coarse Spaces for Overlapping Schwarz Methods in Three Dimensions"
    SIAM J. Sci. Comput. 41, no. 5, A3045–A3072, 2019
    https://doi.org/10.1137/18M1220613, Preprint
  6. Alexander Heinlein, Axel Klawonn, Jascha Knepper, Oliver Rheinbach
    "An Adaptive GDSW Coarse Space for Two-Level Overlapping Schwarz Methods in Two Dimensions"
    Proceedings of the International Conference on Domain Decomposition Methods 24. Springer Lecture Notes on Computational Science and Engineering, Vol. 125, 2018
    https://doi.org/10.1007/978-3-319-93873-8_35
  7. Alexander Heinlein, Axel Klawonn, Jascha Knepper, Oliver Rheinbach
    "Multiscale Coarse Spaces for Overlapping Schwarz Methods Based on the ACMS Space in 2D"
    Electronic Transactions on Numerical Analysis (ETNA), Vol. 48, pp. 156-182, 2018
    https://doi.org/10.1553/etna_vol48s156

Dissertation

  • Jascha Knepper, “Adaptive Coarse Spaces for the Overlapping Schwarz Method and Multiscale Elliptic Problems,” dissertation, University of Cologne, Cologne, Germany, October 2022. URN: urn:nbn:de:hbz:38-620024