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    • Group Ohlberger
      • Team
        • Felix Schindler
  • Numerical Analysis & Scientific Computing
  • Research
  • Teaching
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  • Team
    • Secretary
    • Julia Brunken
    • Dennis Eickhorn
    • René Fritze
    • Tim Keil
    • Tobias Leibner
    • Mario Ohlberger
    • Stephan Rave
    • Felix Schindler
    • Julia Schleuß
    • Marie Tacke
    • Alumni
Dr. Felix Schindler

Postdoc

Group Numerical Analysis and Scientific Computing
Room 120.012
Orleans-Ring 10
48149 Muenster
Germany
Tel: 0049 251 83 35130
Fax: 0049 251 83 32729
felix.schindler@uni-muenster.de
  •  

    Publications

    2019

    • Rave Stephan, Schindler Felix. 2019. ‘A locally conservative reduced flux reconstruction for elliptic problems.’ In Special Issue: 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), edited by Eberhardsteiner J, Schöberl M.: Wiley. doi: 10.1002/pamm.201900026.
    • Buhr Andreas, Iapichino Laura, Ohlberger Mario, Rave Stephan, Schindler Felix, Smetana Kathrin. 2019. ‘Localized model reduction for parameterized problems.’ In Handbook on Model Order Reduction, edited by Benner P, Grivet-Talocia S, Quarteroni A, Rozza G, Schilders W, Sileira L, 51. [Accepted]

    2018

    • Ohlberger Mario, Rave Stephan, Schindler Felix, Wedemeier Tobias. 2018. ‘Model reduction for parameterized systems and inverse problems.’ Oberwolfach Reports 2018, No. 39: 2454-2457. doi: 10.4171/OWR/2018/39.
    • Ohlberger Mario, Schaefer Michael, Schindler Felix. 2018. ‘Localized Model Reduction in PDE Constrained Optimization.’ In Shape Optimization, Homogenization and Optimal Control – DFG-AIMS workshop held at the AIMS Center Senegal, March 13-16, 2017, edited by Schulz V, Seck D, 143-163. Basel: Birkhäuser. doi: 10.1007/978-3-319-90469-6_8.

    2017

    • Leibner T, Milk R, Schindler F. 2017. ‘Extending DUNE: The dune-xt modules.’ Archive of Numerical Software 5, No. 1: 193-216. doi: 10.11588/ans.2017.1.27720.
    • Ohlberger M, Schindler F. 2017. ‘Non-Conforming Localized Model Reduction with Online Enrichment: Towards Optimal Complexity in PDE constrained Optimization.’ In Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems: FVCA 8, Lille, France, June 2017, edited by Cancès C, Omnes P, 357-365. Cham: Springer International Publishing. doi: 10.1007/978-3-319-57394-6_38.
    • Ohlberger M, Rave S, Schindler F. 2017. ‘True Error Control for the Localized Reduced Basis Method for Parabolic Problems.’ In Model Reduction of Parametrized Systems, edited by Benner P., Ohlberger M., Patera A., Rozza G., Urban K., 169-182. Cham: Springer International Publishing. doi: 10.1007/978-3-319-58786-8_11.

    2016

    • Schindler, F. 2016. Model reduction for parametric multi-scale problems Doctoral Thesis, Westfälische Wilhelms-Universität Münster.
    • Ohlberger M, Rave S, Schindler F. 2016. ‘Adaptive Localized Model Reduction.’ Oberwolfach Reports 13, No. 3: 2406-2409. doi: 10.4171/OWR/2016/42.
    • Milk R, Rave S, Schindler F. 2016. ‘pyMOR - Generic algorithms and interfaces for model order reduction.’ SIAM Journal on Scientific Computing 38, No. 5: 194-216. doi: 10.1137/15M1026614.
    • Ohlberger M, Rave S, Schindler F. 2016. ‘Model Reduction for Multiscale Lithium-Ion Battery Simulation.’ In Numerical Mathematics and Advanced Applications ENUMATH 2015, edited by Karasözen B, Manguoğlu M, Teuer-Sezgin M, Göktepe S, Uğur Ö, 317-331.: Springer. doi: 10.1007/978-3-319-39929-4_31.

    2015

    • Ohlberger M, Schindler F. 2015. ‘Error control for the localized reduced basis multi-scale method with adaptive on-line enrichment.’ SIAM J. Sci. Comput. 37, No. 6: A2865-A2895. doi: 10.1137/151003660.

    2014

    • Ohlberger M, Schindler F. 2014. ‘A-Posteriori Error Estimates for the Localized Reduced Basis Multi-Scale Method.’ In Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects, edited by , Rohde C, 421-429.: Springer International Publishing. doi: 10.1007/978-3-319-05684-5_41.

    2013

    • Ohlberger M, Albrecht F, Drohmann M, Henning P, Kaulmann S, Schweizer B. 2013. ‘Model reduction for multiscale problems.’ Oberwolfach Reports 39: 2228-2230. doi: 10.4171/OWR/2013/39.
    • Albrecht F, Ohlberger M. 2013. ‘The localized reduced basis multi-scale method with online enrichment.’ Oberwolfach Reports 7: 406-409. doi: 10.4171/OWR/2013/07.

    2012

    • Albrecht F, Haasdonk B, Kaulmann S, Ohlberger M. 2012. ‘The Localized Reduced Basis Multiscale Method.’ Contributed to the Algoritmy 2012, Conference on Scientific Computing, Vysoke Tatry, Podbanske, September 9-14, 2012, Vysoke Tatry, Podbanske.

    2009

    • Albrecht F. 2009. Local Discontinuous Galerkin Verfahren für die Stokes Gleichungen und Homogenisierung in porösen Medien (Diplomarbeit).
  • Selected research, projects, ...

    The following is an extremely incomplete list of my activities. I just started collecting them and they should grow over time ...

    • I recently started looking into discontinuous Galerkin (DG) and Finite Volume (FV) methods for hyperbolic equations, such as approximating the solution \(u\) of: $$\partial_t u + \nabla_x \cdot f(u) = 0$$ I was particularly interested in how to support the implementation of both FV and DG methods in our software library. Preliminary findings are documented here. This is now part of our library dune-gdt (FV is joint work with T. Leiber), see for instance the advection operators here or these tests on linear transport and inviscid compressible flow.

  • Software

    dune-gdt

    Joint work with: Rene Milk, Tobias Leibner

    dune-gdt is a DUNE module which provides a generic discretization toolbox for grid-based numerical methods. It contains building blocks - like local operators, local integrands, local assemblers - for discretization methods and suitable discrete function spaces. For more information visit the official homepage.


    \(\color{#00568a}{\huge{\text{py}}}\color{#e88e3f}{\huge{\text{MOR}}}\)

    Joint work with: Stephan Rave, Rene Milk

    pyMOR - Model Order Reduction with Python - is a software library for building model order reduction applications with the Python programming language. Its main focus lies on the application of reduced basis methods to parameterized partial differential equations. All algorithms in pyMOR are formulated in terms of abstract interfaces for seamless integration with external high-dimensional PDE solvers. Moreover, pure Python implementations of finite element and finite volume discretizations using the NumPy/SciPy scientific computing stack are provided for getting started quickly. For more information visit the official homepage.

    Publications:

    • Milk R, Rave S, Schindler F. 2016. ‘pyMOR - Generic algorithms and interfaces for model order reduction.’ SIAM Journal on Scientific Computing 38, Nr. 5: 194-216. doi: 10.1137/15M1026614.

  •  

    Talks

    2019

    • Schindler, Felix (2019): ‘Locally conservative Reduced Basis methods’. 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics GAMM 2019, Universität Wien, Wien, Österreich, 19/02/2019.

    2016

    • Ohlberger M, Rave S, Schindler F (2016): ‘Fully certified and adaptive localized model reduction for elliptic and parabolic problems’. Recent developments in numerical methods for model reduction, Institute Henri Poincaré, Paris, France, 10/11/2016.

    The list of talks is not yet complete.

  •  

    Teaching

    • Winter Term 2019/20
    • Summer Term 2019
    • Winter Term 2018/19
    • Summer Term 2018
    • Winter Term 2017/18
    • Summer Term 2017
    • Winter Term 2016/17
    • Summer Term 2016
    • Winter Term 2015/16
    • Summer Term 2015
    • Winter Term 2014/15
    • Winter Term 2013/14
    • Summer Term 2013
    • Winter Term 2010/11
     

    Winter Term 2019/20

    • Übung: Tutorial Numerics of Partial Differential Equations I [100387]
      (in cooperation with Prof. Dr. Mario Ohlberger)
      [09.10.2019 | 12:00 - 14:00 | wöchentlich | Mi. | M A 109 (SR 1B) | Prof. Dr. Mario Ohlberger]
      [09.10.2019 | 14:00 - 16:00 | wöchentlich | Mi. | M A 109 (SR 1B) | Prof. Dr. Mario Ohlberger]
      [09.10.2019 | 16:00 - 18:00 | wöchentlich | Mi. | M A 109 (SR 1B) | Prof. Dr. Mario Ohlberger]
    • Praktikum: Lab Course Numerical Analysis of Partial Differential Equations I [108418]
      (in cooperation with Prof. Dr. Mario Ohlberger)
      [16.10.2019 | 10:00 - 12:00 | wöchentlich | Mi. | Prof. Dr. Mario Ohlberger]

    Summer Term 2019

    • Übung: Tutorial Modellreduction of Parameterized systems [106382]
      (in cooperation with Prof. Dr. Mario Ohlberger)
    • Seminar: Masterseminar for Efficient numerical methods [106383]
      (in cooperation with Dr. Stephan Rave, Andreas Buhr, Prof. Dr. Mario Ohlberger, Jun.-Prof. Mira Schedensack)

    Winter Term 2018/19

    • Praktikum: Introduction to Numerical Programming with Python [100434]
      (in cooperation with Dr. Stephan Rave, Prof. Dr. Mario Ohlberger)
    • Praktikum: Introduction to Programming with C++ [104437]
      (in cooperation with Prof. Dr. Mario Ohlberger)
    • Seminar: Bachelor Seminar: A posteriori Error Estimations and their Applications [104438]
      (in cooperation with Dr. Stephan Rave, Andreas Buhr)
    • Seminar: Master Seminar Applied Mathematics [104435]
      (in cooperation with Dr. Stephan Rave, Andreas Buhr, Jun.-Prof. Mira Schedensack, Barbara Verfürth)

    Summer Term 2018

    • Praktikum: Introduction to Programming with C++ [102386]
      (in cooperation with Prof. Dr. Mario Ohlberger)
    • Seminar: Master Seminar Applied Mathematics [102385]
      (in cooperation with Dr. Stephan Rave, Andreas Buhr, Prof. Dr. Mario Ohlberger, Jun.-Prof. Mira Schedensack, Barbara Verfürth)
    • Seminar: Bachelor Seminar: A posteriori Error Estimations and their Applications [102383]
      (in cooperation with Dr. Stephan Rave, Prof. Dr. Mario Ohlberger)

    Winter Term 2017/18

    • Praktikum: Non-linear modelling in the natural sciences [100387]
      (in cooperation with Prof. Dr. Andreas Heuer, Prof. Dr. Christian Engwer, Priv.-Doz. Svetlana Gurevich, Liesel Schumacher, Prof. Dr. Mario Ohlberger, Jun.-Prof. Arndt Telschow)
    • Seminar: Master Seminar Applied Mathematics [100386]
      (in cooperation with Dr. Stephan Rave, Prof. Dr. Mario Ohlberger)
    • Seminar: Bachelor Seminar: A posteriori Error Estimations and their Applications [100385]
      (in cooperation with Dr. Stephan Rave, Prof. Dr. Mario Ohlberger)

    Summer Term 2017

    • Praktikum: Introduction to Numerical Programming with Python [108012]
      (in cooperation with Dr. Stephan Rave, Prof. Dr. Mario Ohlberger)
    • Praktikum: Introduction to Numerical Programming with Python [108048]
      (in cooperation with Dr. Stephan Rave, Prof. Dr. Mario Ohlberger)
    • Praktikum: Non-linear modelling in the natural sciences [108047]
      (in cooperation with Prof. Dr. Andreas Heuer, Prof. Dr. Christian Engwer, Priv.-Doz. Svetlana Gurevich, Prof. Dr. Mario Ohlberger, Jun.-Prof. Arndt Telschow)

    Winter Term 2016/17

    • Übung: Tutorial Scientific Computing [106233]
      (in cooperation with Dr. Stephan Rave, Julia Brunken)
    • Vorlesung: Scientific Computing [106232]
      (in cooperation with Dr. Stephan Rave)

    Summer Term 2016

    • Praktikum: Introduction to Programming with C++ [104226]
      (in cooperation with Prof. Dr. Mario Ohlberger)
    • Praktikum: Introduction to Numerical Programming with Python [104225]
      (in cooperation with Julia Brunken, Prof. Dr. Mario Ohlberger)
    • Praktikum: Lab Course Numerical Analysis of Partial Differential Equations II [104222]
      (in cooperation with Prof. Dr. Mario Ohlberger)

    Winter Term 2015/16

    • Übung: Tutorial Numerical Analysis of Partial Differential Equations I [102398]
      (in cooperation with Christian Himpe, Dr. Christoph Lehrenfeld)
    • Praktikum: Lab Course Numerical Analysis of Partial Differential Equations I [102274]
      (in cooperation with Prof. Dr. Mario Ohlberger, Dr. Christoph Lehrenfeld)
    • Vorlesung: MGeL Module [102397]
      (in cooperation with Dr. Christoph Lehrenfeld)

    Summer Term 2015

    • Seminar: Biomedical Modellling and Model Reduction [104860]
      (in cooperation with Dr. Kathrin Smetana, Prof. Dr. Mario Ohlberger, Prof. Dr. Patrick Henning)

    Winter Term 2014/15

    • Praktikum: Scientific Computing [103870]
      (in cooperation with Dr. Stephan Rave, Prof. Dr. Mario Ohlberger)
    • Praktikum: Scientific Computing [103760]
      (in cooperation with Prof. Dr. Mario Ohlberger)

    Winter Term 2013/14

    • Praktikum: Introduction to Programming with C++ [102906]
      (in cooperation with Christian Himpe, Prof. Dr. Mario Ohlberger)
    • Praktikum: Scientific Computing [102868]
      (in cooperation with Prof. Dr. Mario Ohlberger)

    Summer Term 2013

    • Praktikum: Introduction to Programming with C++ [100914]
      (in cooperation with Christian Himpe, Prof. Dr. Mario Ohlberger)
    • V/Ü: Model Reduction for Parametrised Partial Differential Equations [100952]
      (in cooperation with Dr. Stephan Rave)

    Winter Term 2010/11

    • Praktikum: Intermediate Module Communication and Media [102680]
      (in cooperation with Prof. Dr. Andreas Heuer, Rudolf Friedrich, Prof. Dr. Mario Ohlberger, Prof. Dr. Martin Burger)
  • Contacts

Contact

Angewandte Mathematik Münster

Orléans-Ring 10
48149 Münster

Tel: +49 (0) 251 83-35052
Fax: +49 (0) 251 83-32729
seknum@wwu.de
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