Lehre:

im Wintersemester 2013/2014:
Numerik zu partiellen Differentialgleichungen und
ein Seminar hierzu

Sommersemester 2013:

• Optimierung II (Di 8:00 - 10:00 Uhr, Mi 8:00 -10:00 Uhr, M 101, Übung Di 12:00 - 14:00 Uhr, M 101)
(auch für die IT-Ausbildung Module RZ-M33 und RZ-M61,
bzw. für die älteren Semester EDV-Ergänzungsausbildung F-7
und für das Nebenfach im Diplomstudiengang: Naturwissenschaftliche Informatik )


• Seminar zu nichtglatter Optimierung (Lehramt Gymnasium, Bachelor, Master) (Di 10:00 - 12:00 Uhr, M101)


• Oberseminar Analysis (gemeinsam mit Abels, Dolzmann, Finster, Garcke)

Wintersemester 2012/2013:

• Optimierung I (Di 8:00 - 10:00 Uhr, Mi 8:00 -10:00 Uhr, M 101, Übung Di 12:00 - 14:00 Uhr, M 101)
(auch für die IT-Ausbildung Module RZ-M33 und RZ-M61,
bzw. für die älteren Semester EDV-Ergänzungsausbildung F-7
und für das Nebenfach im Diplomstudiengang: Naturwissenschaftliche Informatik )


• Seminar zu linearer Optimierung (Lehramt Gymnasium und Bachelor) (Di 10:00 - 12:00 Uhr, M101)


• Oberseminar Analysis (gemeinsam mit Abels, Dolzmann, Finster, Garcke)

Frühere Lehrveranstaltungen:

• Numerische Mathematik I, II
• Optimierung
• 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:

• 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)
  (since June 2006)

• 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)

luise.blankmathematik.uni-regensburg.de

Publications:

• Non-local Allen-Cahn systems: Analysis and a primal dual active set method
  accepted by IMA Journal of Numerical Analysis, (2012)
  (with H. Garcke, L. Sarbu, 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).

• 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).

• 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).