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Shape optimization, homogenization and optimal control. DFG-AIMS workshop held at the AIMS Center Sénégal, Mbour, Sénégal, March 13–16, 2017. (English) Zbl 1401.49003

ISNM. International Series of Numerical Mathematics 169. Cham: Birkhäuser (ISBN 978-3-319-90468-9/hbk; 978-3-319-90469-6/ebook). viii, 275 p. (2018).

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Publisher’s description: 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. Modeling 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.
The articles of this volume will be reviewed individually.
Indexed articles:
Conti, Sergio; Lenz, Martin; Pawelczyk, Matthäus; Rumpf, Martin, Homogenization in magnetic-shape-memory polymer composites, 1-17 [Zbl 1405.74030]
Mohammed, Mogtaba A. Y.; Sango, Mamadou, Homogenization of stochastic parabolic equations in varying domains, 19-40 [Zbl 1405.60095]
Nnang, Hubert, Two-scale convergence: obviousness of the choice of test functions? Not always, 41-55 [Zbl 1411.35027]
Woukeng, Jean Louis, Corrector problem and homogenization of nonlinear elliptic monotone PDE, 57-73 [Zbl 1415.35029]
Leugering, Günter; Mophou, Gisèle, Instantaneous optimal control of friction dominated flow in a gas-network, 75-88 [Zbl 1407.49074]
Kostina, Ekaterina; Kriwet, Gregor, Multilevel iterations for the combined moving horizon estimation and nonlinear model predictive control for PDE models, 89-112 [Zbl 1407.49009]
Hintermüller, Michael; Keil, Tobias, Some recent developments in optimal control of multiphase flows, 113-142 [Zbl 1407.49008]
Ohlberger, Mario; Schaefer, Michael; Schindler, Felix, Localized model reduction in PDE constrained optimization, 143-163 [Zbl 1407.49030]
Baldé, Mouhamadou A. M. T.; Seck, Diaraf, Numerical simulation for a dimensionless coupled system of shallow water equation with long term dynamic of sand dunes equation, 165-190 [Zbl 1407.65252]
Faye, Ibrahima; Ndiaye, Mariama; Seck, Diaraf, Coupling the Navier-Stokes equations with a short term dynamic of sand dunes, 191-211 [Zbl 1405.35100]
Lüthen, Nora; Rumpf, Martin; Tölkes, Sascha; Vantzos, Orestis, Branching structures in elastic shape optimization, 213-225 [Zbl 1407.49068]
Delfour, Michel C., Shape and topological derivatives via one sided differentiation of the minimax of Lagrangian functionals, 227-257 [Zbl 1407.49066]
Schulz, Volker H.; Welker, Kathrin, On optimization transfer operators in shape spaces, 259-275 [Zbl 1407.49070]

MSC:

49-06 Proceedings, conferences, collections, etc. pertaining to calculus of variations and optimal control
49Q10 Optimization of shapes other than minimal surfaces
90C90 Applications of mathematical programming
00B15 Collections of articles of miscellaneous specific interest
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