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PD Dr. Ralf Zimmermann


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Publications

Journals


  1. Zimmermann, R., An improved estimate for the condition number anomaly of univariate Gaussian correlation matrices,
    ELA Electronic Journal of Linear Algebra, Vol. 30, pp. 592-598, 2015
    doi:
    http://dx.doi.org/10.13001/1081-3810.2839
  2. Zimmermann, R., On the condition number anomaly of Gaussian correlation matrices,
    Linear Algebra and its Applications, Vol. 466, pp. 521-526, 2015

    Preprint is available here: preprint(pdf)
  3. Zimmermann, R., A geometrical numerical linear algebra approach to residual-enhanced parametric model reduction,
    PAMM, 14, 831-832,2014,
    Preprint(pdf)
  4. Mifsud, M., Zimmermann, R. and Görtz, S., Speeding-up the computation of high-lift aerodynamics using a residual-based reduced-order model,
    CEAS Aeronautical Journal, published online 03 August 2014
    Preprint is available here:
    preprint(pdf)
  5. Vendl, A., Faßbender, H. Görtz, S. Zimmermann, R., Mifsud, M., Model Order Reduction for Steady Aerodynamics of High-Lift Configurations,
    CEAS Aeronautical Journal, Vol. 5 (4), pp. 487-500, 2014
  6. Franz, T., Zimmermann, R., Görtz, S., Karcher, N., Interpolation-based Reduced-order Modeling for Steady Transonic Flows via Manifold Learning,
    International Journal of Computational Fluid Dynamics, Special Issue on Reduced Order Modeling, Vol. 28, Nos. 3-4, pp. 106-121, 2014
  7. Zimmermann, R., A locally parametrized reduced order model for the linear frequency domain approach to time-accurate computational fluid dynamics,
    SIAM Journal on Scientific Computing, Vol. 36, pp. B508-B537, 2014

    Preprint is available here: preprint(pdf)
  8. Zimmermann, R., On the maximum likelihood training of gradient-enhanced spatial Gaussian processes,
    SIAM Journal on Scientific Computing 35, (6), A2554--A2574, 2013.

    Preprint is available here: preprint(pdf)
  9. Zimmermann, R., Vendl, A., Görtz, S., Reduced order modeling of steady flows subject to aerodynamic constraints,
    AIAA Journal, (2014). URL:
    doi: 10.2514/1.J052208 . Preprint is available here: preprint(pdf)
  10. Zimmermann, R., Gradient-Enhanced Surrogate Modeling Based on Proper Orthogonal Decomposition,
    Journal of Computational and Applied Mathematics, DOI 10.1016/j.cam.2012.06.010, 2012,
    URL: http://dx.doi.org/10.1016/j.cam.2012.06.010
    Preprint is available here: preprint(pdf)
  11. Zimmermann, R., Görtz, S., Improved Extrapolation of Steady Turbulent Aerodynamics using a Non-Linear POD-Based Reduced Order Model,
    The Aeronautical Journal 116 (1184), 1079--1100, 2012.
    preprint(pdf)
  12. Han, Z.-H., Görtz, S., Zimmermann, R., Improving variable-fidelity surrogate modeling via gradient-enhanced kriging and a generalized hybrid bridge function,
    Aerospace Science and Technology 25 (1), 177--189. 2013, (published online 2012).
    preprint(pdf)
  13. Han, Z.-H., Görtz, S., Zimmermann, R., An Alternative Cokriging Model for Variable-Fidelity Surrogate Modeling,
    AIAA Journal 50 (5),1205--1210, 2012.
    Download from AIAA
  14. Zimmermann, R., Asymptotic Behavior of the Likelihood Function of Covariance Matrices of Spatial Gaussian Processes,
    Journal of Applied Mathematics, DOI: 10.1155/2010/494070, 2010.
    Open access http://www.hindawi.com/journals/jam/2010/494070/.
    See also http://www.hindawi.com/journals/jam/2014/321932/ for correction of minor errors and some clarifications.
  15. Zimmermann, R., Han, Z.-H.: Simplified Cross-Correlation Estimation For Multi-Fidelity Surrogate Cokriging Models,
    Advances and Applications in Mathematical Sciences 7 (2), 181--202, 2010.
    preprint(pdf)
  16. Zimmermann, R., Complete embedded minimal surfaces of finite total curvature with planar ends of smallest possible order,
    Mathematische Annalen 346, 85--105, 2010 (published online 2009).
    URL: www.Springerlink.com.
    Preprint is available here: preprint(pdf)

Technical reports

  1. Zimmermann, R., Peherstorfer, P., Willcox, K., Geometric subspace optimization with applications to online adaptive nonlinear model reduction,
    ACDL Technical Report TR15-3, Massachusetts Institute of Technology, Dec. 2015
    pdf
  2. Zimmermann, R., A Comprehensive Comparison of Various Algorithms for Efficiently Updating Singular Value Decomposition Based Reduced Order Models,
    Institute for Aerodynamics and Flow Technology, DLR, IB 124-2011/3, 2011
    pdf

Book Chapter

  1. Görtz, S., Zimmermann, R., Han, Z.-H.: Variable-Fidelity and Reduced-Order Models for Aero Data for Loads Predictions,
    in Computational Flight Testing, Kroll, N., Radespiel, R., van der Burg, J. W., Sørensen, K. (eds.),
    Notes on numerical fluid mechanics and multidisciplinary Design, vol. 123, Springer Berlin-Heidelberg, 2013, ISBN 978-3-642-38876-7
  2. Faßbender, H., Vendl, A., Görtz, S., Zimmermann, R., Mifsud, M.: More Simulation - Less Testing.
    in European Success Stories in Industrial Mathematics,
    Lery, T., Primicerio, M., Esteban, M.J., Fontes, M., Maday, Y., Mehrmann, V., Quadros, G., Schilders, W., Schuppert, A., Tewkesbury, H. (Eds.)
    Springer Berlin-Heidelberg, 2011, ISBN 978-3-642-23847-5

Conferences/Scientific talks

  1. Zimmermann, R., Local parametrization of reduced oder subspaces on matrix manifolds via derivative information,
    ENUMATH, Ankara, Turkey, Sept. 14-18, 2015
  2. Zimmermann, R., Adaptive nonlinear model reduction and missing point selection schemes,
    MIT ACDL seminar series,
    Massachusetts Institute of Technology, Cambridge, April 10, 2015
  3. Zimmermann, R., Franz, T., Geometric methods in adaptive model reduction,
    SIAM CSE, Salt Lake City, Utah, Mar. 14-18, 2015
  4. Zimmermann, R., Subspace optimization for adaptive model reduction,
    MIT SIAM CCE student seminar series,
    Massachusetts Institute of Technology, Cambridge, Nov. 6, 2014
    Presentation(pdf)
  5. Zimmermann, R., Geometrical numerical linear algebra in the context of model reduction,
    35. Norddeutsches Kolloquium Angewandte Analysis und Numerische Mathematik,
    Kiel, May, 09.-10., 2014
    Presentation(pdf)
  6. Zimmermann, R., A geometrical numerical linear algebra approach to residual-enhanced parametric model reduction,
    GAMM 85th annual meeting,
    Erlangen, March 10-14, 2014.
    Presentation(pdf), Preprint(pdf)
  7. Zimmermann, R., A parametric ROM for the linear frequency domain approach to time-accurate CFD,
    MODRED, Model Reduction of Complex Dynamical Systems,
    Magdeburg, Dec. 11-13, 2013.
    Presentation(pdf)
  8. Zimmermann, R., Efficient constrained nonlinear least-squares optimization for building aerodynamic reduced-order models,
    EUCCO, European Conference on Computational Optimization,
    Chemnitz, July 17-19, 2013.
    Presentation(pdf)
  9. Zimmermann, R., Parametric model order reduction - The matrix manifold view point,
    34. Norddeutsches Kolloquium Angewandte Analysis und Numerische Mathematik,
    Clausthal, May 03-04, 2013.
    Presentation(pdf)
  10. Zimmermann, R., Reduced order modeling of transonic flows subject to aerodynamic constraints,
    MOA Workshop: Adaptivity and Model Order Reduction in PDE Constrained Optimization,
    Hamburg, July 25-27, 2012.
    Presentation(pdf)
  11. Zimmermann, R., On Efficiently Updating Singular Value Decomposition Based Reduced Order Models,
    GAMM Workshop Applied and Numerical Linear Algebra with Special Emphasis on Model Reduction,
    Bremen, Sep. 22.-23. 2011.
    Presentation(pdf)
  12. Zimmermann, R., Towards best practice guidelines for POD-based reduced order models,
    EUROGEN, Evolutionary and deterministic methods for design, optimization and control,
    C. Poloni, D. Quagliarella, J. Périaux, N. Gauger and K. Giannakoglou (Eds.), CIRA, Capua, Italy, Sep. 14-16, 2011.
    preprint(pdf)
  13. Mifsud, M., Zimmermann, R., Sippli, J., Görtz, S.,
    A POD-based reduced order modeling approach for the efficient computation of high-lift aerodynamics,
    EUROGEN, Evolutionary and deterministic methods for design, optimization and control,
    C. Poloni, D. Quagliarella, J. Périaux, N. Gauger and K. Giannakoglou (Eds.), CIRA, Capua, Italy, Sep. 14-16, 2011.
    preprint(pdf)
  14. Zimmermann, R., Görtz, S., Non-Linear POD-based Reduced Order Models for Steady Turbulent Aerodynamics,
    RAeS Conference 2010 Applied Aerodynamics: Capabilities And Future Requirements, July 27-28, Bristol, UK, 2010.
    preprint(pdf)
  15. Zimmermann, R., Görtz, S., Non-linear reduced order models for steady aerodynamics,
    Procedia Computer Science, 1 (1), 165--174, 2010.
    Open access www.sciencedirect.com/
  16. Han, Z.-H., Zimmermann, R., Görtz, S., A New Cokriging Method for Variable-Fidelity Surrogate Modeling of Aerodynamic Data,
    AIAA 2010-1225, 48th AIAA Aerospace Sciences Meeting, January 4-7, Orlando, Florida, 2010.
  17. Han, Z.-H., Görtz, S., Zimmermann, R. On improving Efficiency and Accuracy of Variable-Fidelity Surrogate Modeling in Aero-data for Loads Context,
    Proceedings of CEAS 2009, European Air and Space Conference, Manchester, UK, Oct. 26-29, 2009.
    Preprint(pdf)

Theses

  1. Vollständige eingebettete Minimalflächen endlicher Totalkrümmung mit planaren Enden kleinster Ordnung, Doctoral dissertation, Christian-Albrechts-Universität Kiel, 2008. (pdf)
  2. Der Satz von Lopez-Ros, Diploma thesis, Christian-Albrechts-Universität Kiel, 2004.

Author: Ralf Zimmermann
Last modified: 2016-01-04