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Convergence of a steepest descent algorithm in shape optimisation using W1,∞ functions
Klaus Deckelnick, Philip Justin Herbert and Michael Hinze ESAIM: Mathematical Modelling and Numerical Analysis 59(3) 1505 (2025) https://doi.org/10.1051/m2an/2025033
Convergent evolving finite element approximations of boundary evolution under shape gradient flow
On mixed finite element approximations of shape gradients in shape optimization with the Navier–Stokes equation
Jiajie Li, Shengfeng Zhu and Xiaoqin Shen Numerical Methods for Partial Differential Equations 39(2) 1604 (2023) https://doi.org/10.1002/num.22947
A priori error estimates for finite element approximations to transient convection-diffusion-reaction equations in fluidized beds
V. Dhanya Varma and Suresh Kumar Nadupuri International Journal of Nonlinear Sciences and Numerical Simulation 23(7-8) 1047 (2022) https://doi.org/10.1515/ijnsns-2020-0063
A Continuous Perspective on Shape Optimization via Domain Transformations
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
Optimal control in ink-jet printing via instantaneous control
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) https://doi.org/10.1051/m2an/2014060
A Transformation Approach in Shape Optimization: Existence and Regularity Results