Lehre:

• Optimierung I
  (GRIPS-Seite)
  Vorlesung: Mo 14:00 - 16:00 Uhr, Mi 10:00 - 12:00 Uhr in M103
  


• Oberseminar Analysis
  Fr 10:00 - 12:00 Uhr in M104;
• Oberseminar Interfaces, Complex Structures and Singular Limits
  Di 12:00 - 14:00 Uhr in M102; im Rahmen des GRK IntComSin
  
• IntComSin Colloquium
  Fr nachmittags, Erlangen/Regensburg; im Rahmen des GRK IntComSin
  

Sommersemester 2024

• Numerik partieller Differentialgleichungen
  (GRIPS-Seite)
  Vorlesung: Mo 14:00 - 16:00 Uhr in M102, Mi 10:00 - 12:00 Uhr in M104
  

Frühere Lehrveranstaltungen:

• Numerische Mathematik I, II
• Optimierung I, II
• Numerik zu partiellen Differentialgleichungen
• Optimale Steuerung
• Wavelets: Grundlagen und Anwendungen in den Naturwissenschaften
• Lineare Algebra für das Lehramt Grund-, Haupt- und Realschule (LG,LH,LR)
• Synthetische und analytische Behandlung geometrischer Probleme für das Lehramt Grund-, Haupt- und Realschule (LG,LH,LR)
• Ergänzungen zur Geometrie für das Lehramt Grund-, Haupt- und Realschule (LG,LH,LR)
• Vortragsreihe MathematikerInnen und PhysikerInnen in der Praxis
• Calculus I and II (in the USA)
• Number Theory (in the UK)

Research Interests and Projects:

Research Interests:

• numerical optimization with PDEs
• optimal control
• iterative solvers for linear systems:
  • preconditioning using wavelets
  • preconditioning using Schur complement methods

Research Projects:

• DFG-Graduiertenkolleg 2339 (GRK 2339): Interfaces, Complex Structures, and Singular Limits
  (seit April 2018)

Completed Research Projects:

• Optimization problems governed by Cahn-Hilliard equations und
  
• Optimization problems governed by Allen-Cahn and Cahn-Hilliard variational inequalities,
  joint project with Harald Garcke as part of the
  DFG-Schwerpunktprogramm: Optimierung mit partiellen Differentialgleichungen (SPP1253/1 und SPP1253/2)
  (6.2006 - 5.2013, completed)

• Process Monitoring using Wavelet based Realtime Optimization ,
  joint project with the Lehrstuhl für Prozesstechnik as part of the
  DFG-Schwerpunktprogramm: Echtzeit-Optimierung großer Systeme
  (10.1995 - 9.2002, completed)

conferences or workshops:

• Workshop: Women in Optimization 2024,
  10.-12. April 2024, Erlangen, Germany
  organized together with Frauke Liers (FAU Erlangen), Andrea Walther (HU Berlin).

• Workshop: Women in Optimization 2022,
  13.-15. Juni 2022, Berlin, Germany
  organized together with Kathrin Klamroth (Universität Wuppertal), Sonja Schmelter (PTB Berlin), Gabriele Steidl (TU Berlin), Andrea Walther (HU Berlin).

luise.blankur.de

Publications:

• Optimal control of anisotropic Allen-Cahn equations
  ESAIM: COCV, 28, 71, (2022)
  https://doi.org/10.1051/cocv/2022063
  (with J. Meisinger).

• Parabolic optimal control with strongly monotone quasilinearity and its time discretization
  Applied Mathematics and Optimization 86, 34 (2022)
  http://doi.org/10.1007/s00245-022-09899-4
  (with J. Meisinger).

• An extension of the projected gradient method to a Banach space setting with application in structural topology optimization
  SICON, Vol. 55, Issue 3, pp. 1481-1499, (2017)
  (with Chr. Rupprecht).

• Sharp interface limit for a phase field model in structural optimization
  SICON, Vol. 54, Issue 3, pp. 1558-1584, (2016)
  (with H. Garcke, C. Hecht, Chr. Rupprecht).

• Relating phase field and sharp interface approaches to structural topology optimization
  ESAIM: COCV, Vol 20, No.4, pp. 1025-1058, (2014)
  (with M.H. Farshbaf-Shaker, H. Garcke, V. Styles).

• Optimal control of Allen-Cahn systems
  in: G. Leugering, P. Benner, S. Engell, A. Griewank, H. Harbrecht, M. Hinze, R. Rannacher and S. Ulbrich ( Eds.), Trends in PDE Constrained Optimization, ISNM 165, pp. 11-26, Birkhäuser, (2014)
  (with M.H. Farshbaf-Shaker, C. Hecht, J. Michl, Chr. Rupprecht).

• Multi-material phase field approach to structural topology optimization
  in: G. Leugering, P. Benner, S. Engell, A. Griewank, H. Harbrecht, M. Hinze, R. Rannacher and S. Ulbrich ( Eds.), Trends in PDE Constrained Optimization, ISNM 165, pp. 231-246, Birkhäuser, (2014)
  (with M.H. Farshbaf-Shaker, H. Garcke, Chr. Rupprecht, V. Styles).

• Non-local Allen-Cahn systems: Analysis and a primal dual active set method
  IMA Journal of Numerical Analysis 33 (4), pp. 1126-1155, (2013)
  (with H. Garcke, L. Sarbu, V. Styles).

• Primal-Dual Active Set Methods for Allen-Cahn Variational Inequalities with Non-Local Constraints
  Numer. Methods for Partial Differential Eq., Vol. 29 (3), 999-1030, (2013)
  (with H. Garcke, L. Sarbu and V.Styles).

• Preconditioning for Allen-Cahn variational inequalities with non-local constraints
  Journal of Computational Physics 231, pp. 5406-5420, (2012)
  (with L. Sarbu, M. Stoll).

• Allen-Cahn and Cahn-Hilliard variational inequalities solved with Optimization Techniques
  in: G. Leugering, S. Engell, M. Hinze, R. Rannacher, V. Schulz, M. Ulbrich and S. Ulbrich,( Eds.), Constrained Optimization and Optimal Control for Partial Differential Equations, ISNM 160, Birkhäuser, 21-35, (2012)
  (with M. Butz, H. Garcke, L. Sarbu, V. Styles).

• Phase-field approaches to structural topology optimization
  in: G. Leugering, S. Engell, M. Hinze, R. Rannacher, V. Schulz, M. Ulbrich and S. Ulbrich,( Eds.), Constrained Optimization and Optimal Control for Partial Differential Equations, ISNM 160, Birkhäuser, 245-256, (2012)
  (with H. Garcke, L. Sarbu, T. Srisupattarawanit, V. Styles, A. Voigt).

• Solving the Cahn-Hilliard Variational Inequality with a Semi-Smooth Newton Method
  ESAIM: COCV 17, 931-954, (2011).
  (with M. Butz and H. Garcke).

• State Estimation analysed as Inverse Problem
  Assessment and Future Directions of Nonlinear Model Predictive Control, Eds. Findeisen, Allgoewer and Biegler, Springer Lecture Notes in Control and Information Sciences Series (LNCIS), 335-346, (2007).

• Analytical Considerations of State Estimation: Regularization and Error Propagation
  Proc. 5th Int. Conf. on Inverse Problems in Engineering: Theory and Practice, Cambridge, 11-15th July, (2005).
  

• State Estimation without Regularizing the Initial Data
  Inverse Problems, Vol. 20, No. 5, 1357 - 1370, (2004).
  

• Preconditioning via a Schur Complement Method: an Application in State Estimation
  SIAM J. Sci. Comput., Vol. 25, No. 3, 942-960, (2003).
  

• On the Regularization of Dynamic Data Reconciliation Problems
  Journal of Process Control 12, 557-567, (2002),
  (with T. Binder, W. Dahmen and W. Marquardt).

• Multiscale Concepts for Moving Horizon Optimization
  Online Optimization of Large Scale Systems, Eds. M. Grötschel, S.O. Krumke, J. Rambau, Springer-Verlag Berlin Heidelberg, 341-361, (2001),
  (with T. Binder, W. Dahmen and W. Marquardt).

• Introduction to Model Based Optimization of Chemical Processes on Moving Horizons
  Online Optimization of Large Scale Systems, Eds. M. Grötschel, S.O. Krumke, J. Rambau, Springer-Verlag Berlin Heidelberg, 295-339, (2001),
  (with T. Binder, H.G. Bock, R. Burlisch, W. Dahmen, M. Diehl, T. Kronseder, W. Marquardt, J.P. Schlöder and O. v. Stryk).

• Iterative Algorithms for Multiscale State Estimation, Part 1: Concept
  Journal of Optimization Theory and Applications (JOTA), Vol. 111 (3), 501-527, (2001),
  (with T. Binder, W. Dahmen and W. Marquardt).

• Iterative Algorithms for Multiscale State Estimation, Part 2: Numerical Investigation
  Journal of Optimization Theory and Applications (JOTA), Vol. 111 (3), 529-551, (2001),
  (with T. Binder, W. Dahmen and W. Marquardt).

• Iterative Multiscale Methods for Process Monitoring
  Proc. of 'Fast solution of discretized optimization problems', WIAS Berlin, Germany, May 8-12, 2000, Eds. K.-H. Hoffmann, R.H.W. Hoppe, V. Schulz, ISNM, Vol. 138, Birkhäuser Verlag, 19-34, (2001),
  (with T. Binder, W. Dahmen and W. Marquardt).

• Grid Refinement in Multiscale Dynamic Optimization
  Proc. of European Symposium on Computer Aided Process Engineering (ESCAPE)-10, Florence, Ed. S. Pierucci, 31-36, (2000),
  (with T. Binder, W. Dahmen and W. Marquardt).

• An Adaptive Multiscale Method for Real-Time Moving Horizon Optimization
  Proc. of American Control Conference 2000, Chicago, Omnipress, 4234-4238, (2000),
  (with T. Binder, W. Dahmen and W. Marquardt).

• Regularization of Dynamic Data Reconciliation Problems by Projection
  Proc. IFAC Symposium on Advanced Control of Chemical Processes, ADCHEM 2000, Pisa, Ed. L. T. Biegler, A. Brambilla, C. Scali, Vol. 2, 689-694, (2000),
  (with T. Binder, W. Dahmen and W. Marquardt).

• Iterative Algorithms for Multiscale Dynamic Data Reconciliation
  IGPM Report No. 186, RWTH Aachen, (2000),
  (with T. Binder, W. Dahmen and W. Marquardt).

• Adaptive Multiscale Approach to Real-Time Dynamic Optimization
  Technical Report LPT-1999-14, RWTH Aachen, (1999),
  (with T. Binder, W. Dahmen and W. Marquardt).

• Towards Multiscale Dynamic Data Reconciliation
  In: R. Berber, C. Kravaris (Eds.): Nonlinear Model-based Process Control, NATO ASI Series, Kluwer Academic Pub., 623-665, (1998),
  (with T. Binder, W. Dahmen and W. Marquardt).

• Numerical Treatment of Differential Equations of Fractional Order
  Nonlinear World 4, 473-490, (1997).

• Stability results for collocation methods for Volterra integral equations
  Journal of Appl. Math. and Comp. 79, 267-288, (1996).

• Stability of the collocation method applied to Volterra Integral equations with delay
  Proc. of The First International Conference on Difference Equations, San Antonio, TX, May 1994,
  Gordon and Breach Publishers, 57-64, (1995).

• Stability of collocation for weakly singular Volterra equations
  IMA J. Numer. Anal. 15, 357-375, (1995).
  

Habilitation thesis:

• Multiscale Concepts in State Estimation,
  Universität Regensburg, (November 2003).

PhD thesis:

• Stabilitätsanalyse der Kollokationsmethode für Volterra-Integral-Gleichungen mit schwach singulärem Kern,
  Bonner Mathematische Schriften No. 227, (1991).

Diploma thesis:

• Kollokations-Approximation mit nichtpolynomialen Splines für Lösungen von Volterra-Integro-Differential-Gleichungen mit schwach singulärem Kern,
  University Bonn, (1987).