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Titlebook: Constrained Optimization and Optimal Control for Partial Differential Equations; Günter Leugering,Sebastian Engell,Stefan Ulbrich Book 201

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31#
發(fā)表于 2025-3-26 22:26:13 | 只看該作者
32#
發(fā)表于 2025-3-27 04:16:44 | 只看該作者
Advanced Numerical Methods for PDE Constrained Optimization with Application to Optimal Design in Nais applied to the instationary Navier-Stokes equations for which we discuss the appropriate setting and discuss Fréchet differentiability of the velocity field with respect to domain transformations. Goal-oriented error estimation is used for an adaptive refinement strategy. Finally, we give some numerical results.
33#
發(fā)表于 2025-3-27 07:59:24 | 只看該作者
34#
發(fā)表于 2025-3-27 10:37:22 | 只看該作者
35#
發(fā)表于 2025-3-27 15:34:58 | 只看該作者
Florian Bettel,Barbara Hollendonners based on .2- and .1-gradient flow dynamics are discussed. The resulting flows are given by Allen-Cahn and Cahn-Hilliard type dynamics coupled to a linear elasticity system. We finally compare numerical results obtained from the two different approaches.
36#
發(fā)表于 2025-3-27 17:56:44 | 只看該作者
Inalienable Possessions of a Different Sortis applied to the instationary Navier-Stokes equations for which we discuss the appropriate setting and discuss Fréchet differentiability of the velocity field with respect to domain transformations. Goal-oriented error estimation is used for an adaptive refinement strategy. Finally, we give some numerical results.
37#
發(fā)表于 2025-3-27 22:29:21 | 只看該作者
38#
發(fā)表于 2025-3-28 03:43:32 | 只看該作者
International Series of Numerical Mathematicshttp://image.papertrans.cn/c/image/235918.jpg
39#
發(fā)表于 2025-3-28 09:08:50 | 只看該作者
40#
發(fā)表于 2025-3-28 14:22:51 | 只看該作者
https://doi.org/10.1007/978-3-211-75784-0iants are formulated with the help of Lagrange multipliers for local and non-local equality and inequality constraints. Fully discrete problems resulting from finite element discretizations in space are solved with the help of a primal-dual active set approach. We show several numerical computations
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