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A level set method in shape and topology optimization for variational inequalities

100%

Fulmański P., Laurain A., Scheid J.-F., Sokołowski J.

International Journal of Applied Mathematics and Computer Science

2007

tom 17

nr 3

413-430

The level set method is used for shape optimization of the energy functional for the Signorini problem. The boundary variations technique is used in order to derive the shape gradients of the energy functional. The conical differentiability of solutions with respect to the boundary variations is exploited. The topology modifications during the optimization process are identified by means of an asymptotic analysis. The topological derivatives of the energy shape functional are employed for the topology variations in the form of small holes. The derivation of topological derivatives is performed within the framework proposed in (Sokołowski and Żochowski, 2003). Numerical results confirm that the method is efficient and gives better results compared with the classical shape optimization techniques.

Dual dynamic approach to shape optimization

62%

Fulmański P., Nowakowski A.

Control and Cybernetics

2006

tom 35

nr 2

205-218

Ograniczanie wyników

1 Control and Cybernetics

1 International Journal of Applied Mathematics and Computer Science

2 Fulmański P.

1 Laurain A.

1 Nowakowski A.

1 Scheid J.-F.

1 Sokołowski J.

1 2007

1 2006

Wyniki wyszukiwania

A level set method in shape and topology optimization for variational inequalities

Dual dynamic approach to shape optimization