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Level Set Method in Inverse Problem Solution

Stasiak M., Berowski P.

Journal of Applied Computer Science

2009

Vol. 17, nr 1

95-106

The optimal shape design of the capacitor with Laplace equation of state and inverse problem solution in Electrical Impedance Tomography using level set method are presented in the paper. The inverse problem solution determines the positions of capacitor plates, which were optimized to achieve required potential distribution, while the inverse problem solution in EIT enables the identification of the size and the position of internal areas with different conductivity.

Comparison of optimal shape design algorithms

Ratjewicz-Mikołajczak E., Sikora J., Starzyński J., Wincenciak J.

Journal of Technical Physics

2000

Vol. 41, no 3

311-320

The paper focuses on the presentation and comparison of the three most popular approaches to the optimal design: the genetic algorithm, application of the artificial neural networks and the classical deterministic optimization. These methods are used to solve a very classical test problem of pure optimal shape design by moving the nodes of the finite element grid. The obtained results are compared.