Mathematik und Informatik

Dr. Felix Schindler, Angewandte Mathematik Münster: Institut für Analysis und Numerik

Investigator in Mathematics Münster

Private Homepagehttps://www.uni-muenster.de/AMM/ohlberger/team/felix_schindler.shtml
Research InterestsMultiscale analysis of two-phase flow in porous media with complex heterogeneities
Model reduction of parametric partial differential equations
Numerical analysis of partial differential equations
Selected PublicationsBuhr Andreas, Iapichino Laura, Ohlberger Mario, Rave Stephan, Schindler Felix, Smetana Kathrin. Localized model reduction for parameterized problems., 2021, pp 245 - 306 online
Rave Stephan, Schindler Felix. A locally conservative reduced flux reconstruction for elliptic problems. arXiv, Vol. 1903.09082, 2019 online
Ohlberger Mario, Schaefer Michael, Schindler Felix. Localized Model Reduction in PDE Constrained Optimization., 2018, pp 143-163 online
Ohlberger M, Rave S, Schindler F. True Error Control for the Localized Reduced Basis Method for Parabolic Problems.Vol. 2016 (1606.09216), 2017, pp 169-182 online
Leibner T, Milk R, Schindler F. Extending DUNE: The dune-xt modules. Archive of Numerical Software, Vol. 5 (1), 2017, pp 193-216 online
Ohlberger M, Schindler F. Non-Conforming Localized Model Reduction with Online Enrichment: Towards Optimal Complexity in PDE constrained Optimization., 2017, pp 357-365 online
Milk R, Rave S, Schindler F. pyMOR - Generic algorithms and interfaces for model order reduction. SIAM Journal on Scientific Computing, Vol. 38 (5), 2016, pp 194-216 online
Ohlberger M, Schindler F. Error control for the localized reduced basis multi-scale method with adaptive on-line enrichment. SIAM J. Sci. Comput., Vol. 37 (6), 2015, pp A2865-A2895 online
Albrecht F, Ohlberger M. The localized reduced basis multi-scale method with online enrichment. Oberwolfach Reports, Vol. 7, 2013, pp 406-409 online
Albrecht F, Haasdonk B, Kaulmann S, Ohlberger M. The Localized Reduced Basis Multiscale Method., 2012, pp 393-403 online
Selected ProjectsLokalisierte Reduzierte Basis Methoden für Parameteroptimierung bei partiellen Differentialgleichungen.
EXC 2044 - C4: Geometry-based modelling, approximation, and reduction. In mathematical modelling and its application to the sciences, the notion of geometry enters in multiple related but different flavours: the geometry of the underlying space (in which e.g. data may be given), the geometry of patterns (as observed in experiments or solutions of corresponding mathematical models), or the geometry of domains (on which PDEs and their approximations act). We will develop analytical and numerical tools to understand, utilise and control geometry, also touching upon dynamically changing geometries and structural connections between different mathematical concepts, such as PDE solution manifolds, analysis of pattern formation, and geometry.. online
Project membership
Mathematics Münster


C: Models and Approximations

C4: Geometry-based modelling, approximation, and reduction
Current TalksLocally conservative Reduced Basis methods. 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics GAMM 2019, Universität Wien, Wien, Österreich Slides Link to event
Current PublicationsBuhr Andreas, Iapichino Laura, Ohlberger Mario, Rave Stephan, Schindler Felix, Smetana Kathrin Localized model reduction for parameterized problems. Model Order Reduction: Volume 2 Snapshot-Based Methods and Algorithms, 2021, pp 245 - 306 online
Keil T, Mechelli L, Ohlberger M, Schindler F, Volkwein S A non-conforming dual approach for adaptive Trust-Region Reduced Basis approximation of PDE-constrained optimization. ESAIM: Mathematical Modelling and Numerical Analysis (M2AN) Vol. 55, 2021, pp 1239–1269 online
Banholzer S, Keil T, Mechelli L, Ohlberger M, Schindler F, Volkwein S An adaptive projected Newton non-conforming dual approach for trust-region reduced basis approximation of PDE-constrained parameter optimization. Pure and applied functional analysis Vol. 2021, 2021 online
Gavrilenko P, Haasdonk B, Iliev O, Ohlberger M, Schindler F, Toktaliev P, Wenzel T, Youssef M A full order, reduced order and machine learning model pipeline for efficient prediction of reactive flows. , 2021 online
Haasdonk B, Ohlberger M, Schindler F An adaptive model hierarchy for data-augmented training of kernel models for reactive flow. arXiv [math.NA] Vol. 2110.12388, 2021 online
Keil T, Mechelli L, Ohlberger M, Schindler F, Volkwein S A non-conforming dual approach for adaptive Trust-Region Reduced Basis approximation of PDE-constrained optimization. ESAIM: Mathematical Modelling and Numerical Analysis (M2AN) Vol. 55, 2021, pp 1239–1269 online
Banholzer S, Keil T, Mechelli L, Ohlberger M, Schindler F, Volkwein S An adaptive projected Newton non-conforming dual approach for trust-region reduced basis approximation of PDE-constrained parameter optimization. Pure and applied functional analysis Vol. 2021, 2021 online
Gavrilenko P, Haasdonk B, Iliev O, Ohlberger M, Schindler F, Toktaliev P, Wenzel T, Youssef M A full order, reduced order and machine learning model pipeline for efficient prediction of reactive flows. , 2021 online
Rave Stephan, Schindler Felix A locally conservative reduced flux reconstruction for elliptic problems. Special Issue: 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)arXiv Vol. 1903.09082, 2019 online
Current Projects• ML-MORE: Machine learning and model order reduction to predict the efficiency of catalytic filters. Subproject 1: Model Order Reduction online
• EXC 2044 - C4: Geometry-based modelling, approximation, and reduction online
• Localized Reduced Basis Methods for PDE-constrained Parameter Optimization online
• pyMOR - Sustainable Software for Model Order Reduction online
E-Mailfelix.schindler@wwu.de
Phone+49 251 83-35130
FAX+49 251 83-32729
Room120.012
Secretary   Sekretariat Wernke
Frau Silvia Wernke
Telefon +49 251 83-35052
Fax +49 251 83-32729
Zimmer 120.001

AddressDr. Felix Schindler
Angewandte Mathematik Münster: Institut für Analysis und Numerik
Fachbereich Mathematik und Informatik der Universität Münster
Einsteinstrasse 62
48149 Münster
Deutschland
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