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Titlebook: Optimization with PDE Constraints; ESF Networking Progr Ronald Hoppe Book 2014 Springer International Publishing Switzerland 2014 Adaptive

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Shape-Topological Differentiability of Energy Functionals for Unilateral Problems in Domains with Cis presented.The .for solutions of elliptic unilateral problems is established in the monograph (Sokołowski and Zolésio, Introduction to Shape Optimization: Shape Sensitivity Analysis, Springer, Berlin/Heidelberg/New York, 1992). The .of solutions to frictionless contact problems in solid mechanics
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Two-Sided Guaranteed Estimates of the Cost Functional for Optimal Control Problems with Elliptic Stcorresponding elliptic state equations. Our analysis is based on a posteriori error estimates of the functional type, which were derived in the last decade for many boundary value problems. They provide guaranteed two-sided bounds of approximation errors for any conforming approximation. If they are
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,Shape Sensitivity Analysis of the Work Functional for the Compressible Navier–Stokes Equations, J. Sokolowski, ., Birkhäuser, Basel, 2012). The dependence of local solutions on the shape of an obstacle is analyzed (P.I. Plotnikov, E.V. Ruban, J. Sokołowski, SIAM J. Math. Anal. 40:1152–1200, 2008; P.I. Plotnikov, E.V. Ruban, J. Sokołowski, J. Math. Pures Appl. 92:113–162, 2009; P.I. Plotnikov,
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