Carmen Gräßle

Department of Mathematics Center for Optimization and Approximation (OA) Bundesstraße 55 (Geomatikum) 20146 Hamburg Room 118 Phone: 040 42838-5114 E-Mail: Carmen.Graessle (at) uni-hamburg.de Since April 2015 I am a Phd student under the supervision of Prof. Dr. Michael Hinze. Since April 2019 I am co-supervised by Prof. Dr. Armin Iske . I am supported by the DFG SPP 1962: Priority Programme "Non-smooth and Complementarity-based Distributed Parameter Systems: Simulation and Hierarchical Optimization". Within project P13: "Simulation and Control of a Nonsmooth Cahn-Hilliard Navier-Stokes System with Variable Fluid Densities" I am working on the optimization of multi-phase flow using model order reduction techniques. I am a member of the Lothar Collatz School, the SIAM Student Chapter and the GAMM Nachwuchsgruppe . Since 2019, I am a GAMM Junior .

Research interests

Optimization with PDE constraints, nonlinear optimization, model order reduction techniques, Proper Orthogonal Decomposition, numerical methods for dynamical systems and optimal control problems, phase field systems, incompressible flows

Publications

• Simulation and Control of a Nonsmooth Cahn-Hilliard Navier-Stokes System
  with M. Hintermüller, M. Hinze, T. Keil - 2019
• Model Order Reduction by Proper Orthogonal Decomposition
  with M. Hinze, S. Volkwein - 2019

• POD model order reduction with space-adapted snapshots for incompressible flows
  with M. Hinze, J. Lang, S. Ullmann - accepted for publication in Advances in Computational Mathematics, 2018
• POD reduced order modeling for evolution equations utilizing arbitrary finite element discretizations
  with M. Hinze - Advances in Computational Mathematics, Volume 44, Issue 6, 2018, 1941-1978
• A-posteriori snapshot location for POD in optimal control of linear parabolic equations
  with A. Alla, M. Hinze - ESAIM:M2AN, Volume 52, Number 5, 2018, 1847-1873

• Model order reduction for space-adaptive simulations of Navier-Stokes
  with M. Hinze, J. Lang, S. Ullmann - accepted, PAMM, 2019
• POD for optimal control of the Cahn-Hilliard system using spatially adapted snapshots
  with M. Hinze, N. Scharmacher - In Numerical Mathematics and Advanced Applications ENUMATH 2017 , 703-711, Springer International Publishing, 2019
• Adaptive trust-region POD for optimal control of the Cahn-Hilliard equation
  with J. O. Alff, M. Hinze - PAMM. Volume 18, Issue 1, 2018
• Combining POD Model Order Reduction with Adaptivity
  with M. Hinze - ScienceOpenPosters, 2018, DOI: 10.14293/P2199-8442.1.SOP-MATH.RVMIXZ.v1
• The combination of POD model reduction with adaptive finite element methods in the context of phase field models
  with M. Hinze - PAMM. Volume 17, Issue 1. 2017, 47-50
• POD basis updates for nonlinear PDE control
  with M. Gubisch, S. Metzdorf, S. Rogg, S. Volkwein - at-Automatisierungstechnik, Volume 65, Issue 5, 2017, 298-307
• A residual based snapshot location strategy for POD in distributed optimal control of linear parabolic equations
  with A. Alla, M. Hinze - IFAC-PapersOnLine, Volume 49, Issue 8, 2016, Pages 13-18
• Towards optimal snapshot location for POD model order reduction in optimal control
  with A. Alla, M. Hinze - ScienceOpenPosters, 2016, DOI: 10.14293/P2199-8442.1.SOP-MATH.PDKGEB.v1
• Snapshot location for POD in control of a linear heat equation
  with A. Alla, M. Hinze - PAMM. Volume 16, Issue 1. 2016, 781-782

Thesis

• Diploma Thesis: POD based inexact SQP methods for optimal control problems governed by a semilinear heat equation, University of Konstanz, 2014.
  

Workshops and Conferences

2019
• Lothar Collatz Seminar, Hamburg, Germany, June 2019 .
  Talk: "Adaptivity in Model Order Reduction with Proper Orthogonal Decomposition".
• Oberseminar Numerische Mathematik, Augsburg, Germany, May 2019 .
  Talk: "POD-MOR with offline adaptive concepts". Invited by Dr. Robert Altmann.
• Research Seminar "Mathematical Data Analysis", Hamburg, Germany, May 2019 .
  Talk: "Introduction to Model Order Reduction using POD and Offline Adaptive Strategies".
• MPI CSC group retreat "Identification, simulation and control of complex dynamical systems from Data", Schloss Ringberg, Tegernsee, Germany, May 2019 .
  Talk: "Adaptivity in simulation based model order reduction", joint talk with Prof. Dr. Michael Hinze.
• SPP 1962 Women's Workshop, Paderborn, Germany, April 2019 .
• Rising Stars in Computational & Data Sciences, Austin, USA, April 2019 .
  Talk and Poster: "Offline Adaptive Strategies in Model Order Reduction with Proper Orthogonal Decomposition".
• CSE Workshop, Plön, Germany, March 2019 .
  Talk: "Model order reduction for space-adaptive simulations of unsteady incompressible flows".
• Gamm Annual Meeting, Vienna, Austria, February 2019 .
  Talk: "Model order reduction for space-adaptive simulations of unsteady incompressible flows".
  Poster: "Adaptivity in model order reduction with proper orthogonal decomposition".
• SPP 1962 Young Researchers Event Software Course, Braunschweig, Germany, February 2019 .

2018
• CSC Seminar, MPI Magdeburg, Germany, November 2018 .
  Talk: "Adaptivity in Model Order Reduction with Proper Orthogonal Decomposition". Invited by Prof. Dr. Peter Benner.
• SPP 1962 Annual Meeting, Kremmen, Germany, October 2018 .
  Talk: "Simulation and Control of a Non-Smooth Cahn-Hilliard Navier-Stokes System with Variable Fluid Densities". Joint talk with Tobias Keil.
• Model Order Reduction Summer School, Hamburg, Germany, September 2018 .
  Talk: "POD model order reduction with space-adapted snapshots for incompressible flows".
• NUMDIFF-15, Conference on the Numerical Solution of Differential and Differential-Algebraic Equations, Halle, Germany, September 2018 .
  Talk: "Adaptive trust-region POD for optimal control of the Cahn-Hilliard equation".
• SPP 1962 Women's Workshop, Würzburg, Germany, July 2018 .
• 14th Viennese Conference on Optimal Control and Dynamic Games, Vienna, Austria, July 2018 .
  Talk: "Combining POD model order reduction with adaptivity".
• MORCOS 2018, IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 2018 .
  Talk: "Combining POD with Adaptivity for the Model Order Reduction of the Cahn-Hilliard System".
• MoRePaS 2018, Model Reduction of Parametrized Systems IV, Nantes, France, April 2018 .
  Poster: "Combining POD Model Order Reduction with Adaptivity".
• Young Researchers Meeting and CSE Workshop, Plön, Germany, March 2018 .
  Talk: "Combining POD Model Order Reduction with Adaptivity".
• Gamm Annual Meeting, München, Germany, March 2018 .
  Talk: "Adaptive trust-region POD for optimal control of the Cahn-Hilliard equation".

2017
• SPP 1962 Annual Meeting, Kremmen, Germany, October 2017 .
  Talk: "Simulation and Control of a Non-Smooth Cahn-Hilliard Navier-Stokes System with Variable Fluid Densities". Joint talk with Tobias Keil.
• Optimization of Infinite Dimensional Non-Smooth Distributed Parameter Systems, Darmstadt, Germany, October 2017 .
  Talk: "Adaptive trust-region POD for optimal control of the Cahn-Hilliard equation".
• ENUMATH, Voss, Norway, September 2017 .
  Talk: "Adaptive trust-region POD for optimal control of the Cahn-Hilliard equation".
• SPP 1962 Women's Workshop, Darmstadt, Germany, July 2017 .
• CE Seminar, Darmstadt, Germany, June 2017 .
  Talk: "The inclusion of adaptivity concepts in the context of POD model order reduction". Invited by Dr. Sebastian Ullmann.
• Young Researchers Meeting and CSE Workshop, Plön, Germany, March 2017 .
  Talk: "POD reduced order modeling for evolution equations utilizing arbitrary finite element discretizations".
• SIAM Conference on Computational Science and Engineering, Atlanta, USA, February 2017 .
  Talk: "POD reduced order modeling for evolution equations utilizing arbitrary finite element discretizations".
• Lothar-Collatz Seminar, Hamburg, Germany, January 2017 .
  Talk: "POD reduced order modeling for evolution equations utilizing arbitrary finite element discretizations".
• 3rd Workshop on Model Reduction of Complex Dynamical Systems - MODRED, Odense, Denmark, January 2017 .
  Talk: "POD reduced order modeling for evolution equations utilizing arbitrary finite element discretizations".

2016
• Workshop on Optimal and Feedback Control of Differential Equations, Konstanz, Germany, November 2016 .
  Talk: "POD basis updates for nonlinear PDE control".
• SPP 1962 Kick-off Meeting, Berlin, Germany, October 2016 .
  Talk: "Simulation and Control of a Non-Smooth Cahn-Hilliard Navier-Stokes System with Variable Fluid Densities". Joint talk with Tobias Keil.
• Reduced Basis Summer School, Hedersleben, Germany, October 2016 .
  Talk: "POD reduced order modeling for evolution equations utilizing arbitrary finite element discretizations"
• 2nd IFAC Workshop on Control of Systems Governed by Partial Differential Equations, Bertinoro, Italy, June 2016 .
  Talk: "A residual based snapshot location strategy for POD in distributed optimal control of linear parabolic equations"
• Oberseminar Numerik, University of Konstanz, Konstanz, Germany, May 2016 .
  Talk: "The inclusion of adaptivity concepts for model order reduction utilizing POD". Invited by Prof. Dr. Stefan Volkwein.
• Young Researchers Meeting and CSE Workshop, Plön, Germany, March 2016 .
  Talk and Poster: "A residual based snapshot location strategy for POD in distributed optimal control of linear parabolic equations"
• Joint DMV GAMM meeting, Braunschweig, Germany, March 2016 .
  Talk: "A residual based snapshot location strategy for POD in distributed optimal control of linear parabolic equations"

2015
• Model Reduction of Parametrized Systems III (MoRePaS), Trieste, Italy, October 2015 .
  Poster: "Towards optimal snapshot location for POD model order reduction in optimal control"
• DMV student's conference, Hamburg, Germany, September 2015 .
  Talk: "POD based inexact SQP methods for optimal control problems governed by a semilinear heat equation"
• Reduced Basis Summer School, Hegne, Germany, September 2015 .
  Talk: "Towards optimal snapshot location for POD model order reduction in optimal control"

Organization

• Co-organization of the DFG SPP 1962 Young Researchers Event "Software Course", Braunschweig, 2019
• April 2016 - March 2019: Lothar Collatz Seminar
• Co-organization of "Model Order Reduction Summer School" , Hamburg, 2018
• Co-organization of "Young Researchers Meeting and CSE Workshop", Plön 2017 , 2016

Summer Project

• 2012: Particle Orbits in Electro-Magnetic Fields with Prof. Dr. Thomas Neukirch, University of St. Andrews, Scotland

Teaching

• April 2015-March 2017: Tutor for exercise classes in Analysis I, II, III for engineers (Hamburg University of Technology, Germany)
• April-September 2014: Tutor for exercise classes in Optimization (University of Konstanz, Germany)
• April-September 2013: Tutor for exercise classes in Optimization (University of Konstanz, Germany)
• April-September 2011: Tutor for exercise classes in Analysis II (University of Konstanz, Germany)