Scalia, Antonio and Sumbatyan, Mezhlum A. (2011) Green’s Function Technique and Global Optimization in Reconstruction of Elliptic Objects in the Regular Triangle. Applied Mathematics, 02 (03). pp. 294-302. ISSN 2152-7385
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Abstract
The reconstruction problem for elliptic voids located in the regular (equilateral) triangle is studied. A known point source is applied to the boundary of the domain, and it is assumed that the input data is obtained from the free-surface input data over a certain finite-length interval of the outer boundary. In the case when the boundary contour of the internal object is unknown, we propose a new algorithm to reconstruct its position and size on the basis of the input data. The key specific character of the proposed method is the construction of a special explicit-form Green's function satisfying the boundary condition over the outer boundary of the triangular domain. Some numerical examples demonstrate good stability of the proposed algorithm.
Item Type: | Article |
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Subjects: | Science Repository > Mathematical Science |
Depositing User: | Managing Editor |
Date Deposited: | 07 Jun 2023 04:22 |
Last Modified: | 31 Oct 2023 04:28 |
URI: | http://research.manuscritpub.com/id/eprint/2366 |