A second-order shape optimization algorithm for solving the exterior Bernoulli free boundary problem using a new boundary cost functional

Author:

Rabago Julius Fergy T.ORCID,Azegami Hideyuki

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Control and Optimization

Reference73 articles.

1. Alt, A., Caffarelli, L.A.: Existence and regularity for a minimum problem with free boundary. J. Reine. Angew. Math. 325, 105–144 (1981)

2. Azegami, H.: A solution to domain optimization problems. Trans. Jpn. Soc. Mech. Eng. Ser. A 60, 1479–1486 (1994). (in Japanese)

3. Azegami, H., Shimoda, M., Katamine, E., Wu, Z.C.: A domain optimization technique for elliptic boundary value problems. In: Hernandez, S., El-Sayed, M., Brebbia, C.A. (eds.) Computer Aided Optimization Design of Structures IV, Structural Optimization, pp. 51–58. Computational Mechanics Publications, Southampton (1995)

4. Azegami, H., Wu, Z.Q.: Domain optimization analysis in linear elastic problems: approach using traction method. SME Int. J. Ser. A 39, 272–278 (1996)

5. Azegami, H., Kaizu, S., Shimoda, M., Katamine, E.: Irregularity of shape optimization problems and an improvement technique. In: Hernandez, S., Brebbia, C.A. (eds.) Computer Aided Optimization Design of Structures IV, Structural Optimization, pp. 309–326. Computational Mechanics Publications, Southampton (1997)

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