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1 Journal of Applied Mathematics and Computational Mechanics

1 2016

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Algorithm of rebuilding a boundary of domain during creation of an optimal shape

Freus K., Freus S.

Journal of Applied Mathematics and Computational Mechanics

2016

Vol. 15, nr 1

17--24

In order to achieve the desired topology we often have to remove material of the area considered. This work presents the author's algorithm which can be used in the reconstruction of the boundary of domain after elimination of a certain amount of material. The paper introduces some details about the procedure that allows one to achieve the expected shape of a domain. The topological-shape sensitivity method for the Laplace equation is used to obtain an optimal topology, whereas numerical methodology utilizes the boundary element method. In the conclusion of the paper the example of computation is shown.