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An optimization algorithm for determining a point heat source position in a 2D domain using a hybrid metaheuristic

  • Mehmet Kurt ORCID logo EMAIL logo and Korhan Günel ORCID logo
Published/Copyright: January 10, 2018

Abstract

In this paper, we study an inverse problem of determining the unknown heat source position of a point-wise heat source in a two-dimensional steady-state heat conduction problem governed by a linear elliptic equation with the Dirichlet boundary conditions. The problem is solved by the hybridization of particle swarm optimization and the gravitational search algorithm with a newly defined mutation operator. Some empirical studies are also performed to gauge the accuracy of the proposed approach.

MSC 2010: 65N21; 35R30; 90C59

References

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Received: 2017-10-19
Accepted: 2017-12-11
Published Online: 2018-1-10
Published in Print: 2018-6-1

© 2018 Walter de Gruyter GmbH, Berlin/Boston

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