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Found 48 Documents (Results 1–48)

An introduction to infinite-dimensional differential geometry. (English) Zbl 1512.58001

Cambridge Studies in Advanced Mathematics 202. Cambridge: Cambridge University Press (ISBN 978-1-316-51488-7/hbk; 978-1-00-909125-1/ebook). xiv, 267 p., open access (2023).
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Shape and topological derivatives via one sided differentiation of the minimax of Lagrangian functionals. (English) Zbl 1407.49066

Schulz, Volker (ed.) et al., Shape optimization, homogenization and optimal control. DFG-AIMS workshop held at the AIMS Center Sénégal, Mbour, Sénégal, March 13–16, 2017. Cham: Birkhäuser. ISNM, Int. Ser. Numer. Math. 169, 227-257 (2018).
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Analysis and numerical approximation of shape optimization problems governed by the Navier-Stokes and the Boussinesq equations. (English) Zbl 1393.35143

München: Dr. Hut; Darmstadt: TU Darmstadt, Fachbereich Mathematik (Diss.) (ISBN 978-3-8439-3268-4/pbk). xi, 236 p. (2017).
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Shape differentiability of the eigenvalues of elliptic systems. (English) Zbl 1515.35165

Constanda, Christian (ed.) et al., Integral methods in science and engineering. Theoretical and computational advances. Papers based on the presentations at the international conference, IMSE, Karlsruhe, Germany, July 21–25, 2014. Cham: Birkhäuser/Springer. 91-97 (2015).
MSC:  35P05 35J57
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Shape-topological differentiability of energy functionals for unilateral problems in domains with cracks and applications. (English) Zbl 1319.49068

Hoppe, Ronald (ed.), Optimization with PDE constraints. ESF networking program ‘OPTPDE’. Cham: Springer (ISBN 978-3-319-08024-6/hbk; 978-3-319-08025-3/ebook). Lecture Notes in Computational Science and Engineering 101, 243-284 (2014).
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Advanced numerical methods for PDE constrained optimization with application to optimal design in Navier Stokes flow. (English) Zbl 1356.49019

Leugering, Günter (ed.) et al., Constrained optimization and optimal control for partial differential equations. Basel: Birkhäuser (ISBN 978-3-0348-0132-4/hbk; 978-3-0348-0133-1/ebook). ISNM. International Series of Numerical Mathematics 160, 257-275 (2012).
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Boundary variations in the Navier-Stokes equations and Lagrangian functionals. (English) Zbl 0988.76077

Cagnol, John et al., Shape optimization and optimal design. Proceedings of the IFIP conference. Selected papers from the sessions ”Distributed parameter systems” and ”Optimization methods and engineering design” held within the 19th conference system modeling and optimization, Cambridge, GB, July 12-16, 1999. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 216, 7-26 (2001).
MSC:  76M30 76D03 76D05
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Fréchet-differentiability and sufficient optimality conditions for shape functionals. (English) Zbl 0935.49019

Hoffmann, K.-H. (ed.) et al., Optimal control of partial differential equations. Proceedings of the IFIP WG 7.2 international conference, Chemnitz, Germany, April 20-25, 1998. Basel: Birkhäuser. ISNM, Int. Ser. Numer. Math. 133, 133-143 (1999).
MSC:  49Q10 49J50 49K20
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Shape control in hyperbolic problems. (English) Zbl 0933.35028

Hoffmann, K.-H. (ed.) et al., Optimal control of partial differential equations. Proceedings of the IFIP WG 7.2 international conference, Chemnitz, Germany, April 20–25, 1998. Basel: Birkhäuser. ISNM, Int. Ser. Numer. Math. 133, 77-88 (1999).
MSC:  35B37 35L20 35B65 74K25 93C20
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Shape sensitivity analysis of nonsmooth shape functionals. (English) Zbl 0858.49018

Durier, Roland (ed.) et al., Recent developments in optimization. 7th French-German conference on optimization, Dijon, France, June 27-July 2, 1994. Berlin: Springer-Verlag. Lect. Notes Econ. Math. Syst. 429, 36-45 (1995).
MSC:  49K22 74P99 49J52
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Shape derivatives and differentiability of min max. (English) Zbl 0780.49029

Shape optimization and free boundaries, Proc. NATO ASI, Sémin. Math. Supér., Montréal/Can. 1990, NATO ASI Ser., Ser. C 380, 35-111 (1992).
Reviewer: A.Seeger (Dhahran)
MSC:  49Q10 49J50 49J52
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