Shape Optimization, Homogenization and Optimal Control

1. Front Matter

   Pages i-viii

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2. Homogenization in Magnetic-Shape-Memory Polymer Composites

   • Sergio Conti, Martin Lenz, Matthäus Pawelczyk, Martin Rumpf

   Pages 1-17

3. Homogenization of Stochastic Parabolic Equations in Varying Domains

   • Mogtaba A. Y. Mohammed, Mamadou Sango

   Pages 19-40

4. Two-Scale Convergence: Obviousness of the Choice of Test Functions? Not Always

   • Hubert Nnang

   Pages 41-55

5. Corrector Problem and Homogenization of Nonlinear Elliptic Monotone PDE

   • Jean Louis Woukeng

   Pages 57-73

6. Instantaneous Optimal Control of Friction Dominated Flow in a Gas-Network

   • Günter Leugering, Gisèle Mophou

   Pages 75-88

7. Multilevel Iterations for the Combined Moving Horizon Estimation and Nonlinear Model Predictive Control for PDE Models

   • Ekaterina Kostina, Gregor Kriwet

   Pages 89-112

8. Some Recent Developments in Optimal Control of Multiphase Flows

   • Michael Hintermüller, Tobias Keil

   Pages 113-142

9. Localized Model Reduction in PDE Constrained Optimization

   • Mario Ohlberger, Michael Schaefer, Felix Schindler

   Pages 143-163

10. Numerical Simulation for a Dimensionless Coupled System of Shallow Water Equation with Long Term Dynamic of Sand Dunes Equation

    • Mouhamadou A. M. T. Baldé, Diaraf Seck

    Pages 165-190

11. Coupling the Navier-Stokes Equations with a Short Term Dynamic of Sand Dunes

    • Ibrahima Faye, Mariama Ndiaye, Diaraf Seck

    Pages 191-211

12. Branching Structures in Elastic Shape Optimization

    • Nora Lüthen, Martin Rumpf, Sascha Tölkes, Orestis Vantzos

    Pages 213-225

13. Shape and Topological Derivatives via One Sided Differentiation of the Minimax of Lagrangian Functionals

    • Michel C. Delfour

    Pages 227-257

14. On Optimization Transfer Operators in Shape Spaces

    • Volker H. Schulz, Kathrin Welker

    Pages 259-275

The contributions in this volume give an insight into current research activities in Shape Optimization, Homogenization and Optimal Control performed in Africa, Germany and internationally. Seeds for collaboration can be found in the first four papers in the field of homogenization. Modelling and optimal control in partial differential equations is the topic of the next six papers, again mixed from Africa and Germany. Finally, new results in the field of shape optimization are discussed in the final international three papers.



This workshop, held at the AIMS Center Senegal, March 13-16, 2017,  has been supported by the Deutsche Forschungsgemeinschaft (DFG) and by the African Institute for Mathematical Sciences (AIMS) in Senegal, which is one of six centres of a pan-African network of centres of excellence for postgraduate education, research and outreach in mathematical sciences.

• Shape Optimization
• Homogenization
• Optimal Control
• Ordinary and Partial Differential Equations
• Inverse Problems
• partial differential equations
• ordinary differential equations

• FB IV Abt. Mathematik, Universität Trier, Trier, Germany

  Volker Schulz

• Département de Mathématiques de la, Université Cheikh Anta Diop de Daka, Dakar-Fann, Senegal

  Diaraf Seck

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