TOPOLOGICAL DERIVATIVE - THEORY AND APPLICATIONS

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DOI

Katarzyna Szulc

Katarzyna.Szulc@ibspan.waw.pl

Abstract

The paper is devoted to present some mathematical aspects of the topological derivative and its applications in different fields of sciences such as shape optimization and inverse problems. First the definition of the topological derivative is given and the shape optimization problem is formulated. Next the form of the topological derivative is evaluated for a mixed boundary value problem defined in a geometrical domain. Finally, an example of an application of the topological derivative in the electric impedance tomography is presented.

Keywords:

Topological derivative, shape optimization, electrical impedance tomography

References

Article Details

Szulc, K. (2015). TOPOLOGICAL DERIVATIVE - THEORY AND APPLICATIONS. Informatyka, Automatyka, Pomiary W Gospodarce I Ochronie Środowiska, 5(1), 7–13. https://doi.org/10.5604/20830157.1148040