Dr. Felix Schindler
Postdoc
Group Numerical Analysis and Scientific ComputingT: 0049 251 83 35130
F: 0049 251 83 32729
felix.schindler@wwu.de
F: 0049 251 83 32729
felix.schindler@wwu.de
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 aredocumented 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.
- 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.
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:
- . . ‘pyMOR - Generic algorithms and interfaces for model order reduction.’ SIAM Journal on Scientific Computing 38, Nr. 5: 194-216. doi: 10.1137/15M1026614.
Scientific Talks
- Schindler, Felix : “Locally conservative Reduced Basis methods”. 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics GAMM 2019, Universität Wien, Wien, Österreich, .
- Ohlberger M, Rave S, Schindler F : “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, .
The list of talks is not yet complete.
Teaching
- Seminar: Master-und Oberseminar zu effizienten numerischen Methoden [100391]
(in cooperation with Dr. Stephan Rave and Prof. Dr. Mario Ohlberger) - Seminar: Bachelorseminar: Innovative numerische Methoden [100388]
(in cooperation with Dr. Stephan Rave and Prof. Dr. Mario Ohlberger) - Practical: Praktikum zur Vorlesung Numerik partieller Differentialgleichungen I [108418]
(in cooperation with Prof. Dr. Mario Ohlberger) - Practice: Übungen zur Vorlesung "Numerik Partieller Differentialgleichungen I" [100387]
(in cooperation with Prof. Dr. Mario Ohlberger) - Seminar: Master-und Oberseminar zu effizienten numerischen Methoden [106383]
(in cooperation with Dr. Stephan Rave, Andreas Buhr, Prof. Dr. Mario Ohlberger and Mira Schedensack) - Practice: Übungen / Praktikum zur Vorlesung Modellreduktion parametrisierter Systeme [106382]
(in cooperation with Prof. Dr. Mario Ohlberger) - Seminar: Master-und Oberseminar zu effizienten numerischen Methoden [104435]
(in cooperation with Dr. Stephan Rave, Andreas Buhr, Mira Schedensack and Barbara Verfürth) - Seminar: Bachelorseminar Modellreduktion dynamischer Systeme [104438]
(in cooperation with Dr. Stephan Rave and Andreas Buhr) - Practical: Einführung in die Programmierung zur Numerik mit Python [100434]
(in cooperation with Dr. Stephan Rave and Prof. Dr. Mario Ohlberger) - Practical: Einführung in die Programmierung mit C++ [104437]
(in cooperation with Prof. Dr. Mario Ohlberger) - Seminar: Master-und Oberseminar zu effizienten numerischen Methoden [102385]
(in cooperation with Dr. Stephan Rave, Andreas Buhr, Prof. Dr. Mario Ohlberger, Mira Schedensack and Barbara Verfürth) - Seminar: Bachelorseminar: Modellierung und Modellreduktion [102383]
(in cooperation with Dr. Stephan Rave and Prof. Dr. Mario Ohlberger) - Practical: Einführung in die Programmierung mit C++ [102386]
(in cooperation with Prof. Dr. Mario Ohlberger) - Seminar: Bachelorseminar: A posteriori Fehlerabschätzungen und deren Anwendungen [100385]
(in cooperation with Dr. Stephan Rave and Prof. Dr. Mario Ohlberger) - Seminar: Masterseminar: Effiziente numerische Methoden für partielle Differentialgleichungen [100386]
(in cooperation with Dr. Stephan Rave and Prof. Dr. Mario Ohlberger) - Practical: Nichtlineare Modellierung in den Naturwissenschaften [100387]
(in cooperation with Prof. Dr. Andreas Heuer, Liesel Sommer, Prof. Dr. Christian Engwer, apl. Prof.Svetlana Gurevich, Prof. Dr. Mario Ohlberger and Jun.-Prof.Arndt Telschow) - Practical: Einführung in die Programmierung zur Numerik mit Python Kurs 2 [108012]
(in cooperation with Dr. Stephan Rave and Prof. Dr. Mario Ohlberger) - Practical: Einführung in die Programmierung zur Numerik mit Python Kurs 1 [108048]
(in cooperation with Dr. Stephan Rave and Prof. Dr. Mario Ohlberger) - Practical: Nichtlineare Modellierung in den Naturwissenschaften [108047]
(in cooperation with Prof. Dr. Andreas Heuer, Prof. Dr. Christian Engwer, apl. Prof.Svetlana Gurevich, Prof. Dr. Mario Ohlberger and Jun.-Prof.Arndt Telschow) - Lecture: Wissenschaftliches Rechnen [106232]
(in cooperation with Dr. Stephan Rave) - Practice: Übung zur Vorlesung Wissenschaftliches Rechnen [106233]
(in cooperation with Dr. Stephan Rave and Julia Brunken) - Practical: Einführung in die Programmierung mit C++ [104226]
(in cooperation with Prof. Dr. Mario Ohlberger) - Practical: Einführung in die Programmierung zur Numerik mit Python [104225]
(in cooperation with Julia Brunken and Prof. Dr. Mario Ohlberger) - Practical: Praktikum zur Vorlesung Numerik partieller Differentialgleichungen II [104222]
(in cooperation with Prof. Dr. Mario Ohlberger) - Lecture: Numerik partieller Differentialgleichungen I [102397]
- Practical: Praktikum zur Vorlesung Numerik partieller Differentialgleichungen I [102274]
(in cooperation with Prof. Dr. Mario Ohlberger) - Practice: Übungen zur Vorlesung "Numerik Partieller Differentialgleichungen I" [102398]
(in cooperation with Dr. Christian Himpe) - Seminar: Biomedizinische Modellierung und Modellreduktion [104860]
(in cooperation with Kathrin Smetana, Prof. Dr. Mario Ohlberger and Patrick Henning) - Practical: Software-Tools für die Numerische Mathematik [103870]
(in cooperation with Dr. Stephan Rave and Prof. Dr. Mario Ohlberger) - Practical: Weiterführende Numerische Verfahren / Praktikum Wissenschaftliches Rechnen [103760]
(in cooperation with Prof. Dr. Mario Ohlberger) - Practical: Einführung in die Programmierung mit C++ [102906]
(in cooperation with Dr. Christian Himpe and Prof. Dr. Mario Ohlberger) - Practical: Wissenschaftliches Rechnen [102868]
(in cooperation with Prof. Dr. Mario Ohlberger) - V/Ü: Modellreduktion für parametrisierte partielle Differentialgleichungen [100952]
(in cooperation with Dr. Stephan Rave) - Practical: Einführung in die Programmierung mit C++ [100914]
(in cooperation with Dr. Christian Himpe and Prof. Dr. Mario Ohlberger) - Practical: Nichtlineare Modellierung in den Naturwissenschaften [102680]
(in cooperation with Prof. Dr. Andreas Heuer, Rudolf Friedrich, Prof. Dr. Mario Ohlberger and Martin Burger)