On a numerical shape optimization approach for a class of free boundary problems

Author:

Boulkhemair A.,Chakib A.,Nachaoui A.,Niftiyev A. A.,Sadik A.ORCID

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Control and Optimization

Reference30 articles.

1. Acker, A., Meyer, R.: A free boundary problem for the p-Laplacian: uniqueness, convexity, and successive approximation of solutions. Electron. J. Differ. Equ. 8, 1–20 (1995)

2. Allaire, G.: Conception optimale de structures. Mathématiques et Applications, vol. 58. Springer, Berlin (2007)

3. Alt, H.W., Caffarelli, L.A.: Existence and regularity for a minimum problem with free boundary. J. Reine Angew. Math. 325, 105144 (1981)

4. Antunes, P., Bogosel, B.: Parametric shape optimization using the support function. https://arxiv.org/pdf/1809.00254.pdf (2018). Accessed 1 July 2019

5. Bouchon, F., Clain, S., Touzani, R.: Numerical solution of the free boundary Bernoulli problem using a level set formulation. Comput. Methods Appl. Mech. Eng. 194(36–38), 3934–3948 (2005)

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