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Cited article:

On mixed finite element approximations of shape gradients in shape optimization with the Navier–Stokes equation

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Numerical Methods for Partial Differential Equations 39 (2) 1604 (2023)
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IMA Journal of Numerical Analysis (2023)
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A priori error estimates for finite element approximations to transient convection-diffusion-reaction equations in fluidized beds

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International Journal of Nonlinear Sciences and Numerical Simulation 23 (7-8) 1047 (2022)
https://doi.org/10.1515/ijnsns-2020-0063

Shape optimization in elliptic problem with nonlinear boundary conditions

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Proceedings of the Institute of Applied Mathematics and Mechanics NAS of Ukraine 35 57 (2021)
https://doi.org/10.37069/1683-4720-2021-35-5

A Continuous Perspective on Shape Optimization via Domain Transformations

J. Haubner, M. Siebenborn and M. Ulbrich
SIAM Journal on Scientific Computing 43 (3) A1997 (2021)
https://doi.org/10.1137/20M1332050

A posteriori modeling error estimates in the optimization of two-scale elastic composite materials

Sergio Conti, Benedict Geihe, Martin Lenz and Martin Rumpf
ESAIM: Mathematical Modelling and Numerical Analysis 52 (4) 1457 (2018)
https://doi.org/10.1051/m2an/2017004

A posteriori error estimates for sequential laminates in shape optimization

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Discrete and Continuous Dynamical Systems - Series S 9 (5) 1377 (2016)
https://doi.org/10.3934/dcdss.2016055

Moreau–Yosida regularization in shape optimization with geometric constraints

Moritz Keuthen and Michael Ulbrich
Computational Optimization and Applications 62 (1) 181 (2015)
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Shape Optimization for Stokes flows: a finite element convergence analysis

Ivan Fumagalli, Nicola Parolini and Marco Verani
ESAIM: Mathematical Modelling and Numerical Analysis 49 (4) 921 (2015)
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Fundamental aspects of shape optimization in the context of isogeometric analysis

D. Fußeder, B. Simeon and A.-V. Vuong
Computer Methods in Applied Mechanics and Engineering 286 313 (2015)
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Three-dimensional tool design for steady-state electrochemical machining by continuous adjoint-based shape optimization

Jinming Lu, Gerwin Riedl, Bernhard Kiniger and Ewald A. Werner
Chemical Engineering Science 106 198 (2014)
https://doi.org/10.1016/j.ces.2013.11.040