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.
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© 2018 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Error estimates for the simplified iteratively regularized Gauss–Newton method in Banach spaces under a Morozov-type stopping rule
- An optimization algorithm for determining a point heat source position in a 2D domain using a hybrid metaheuristic
- Lipschitz continuity of the Fréchet gradient in an inverse coefficient problem for a parabolic equation with Dirichlet measured output
- On finding a cavity in a thermoelastic body using a single displacement measurement over a finite time interval on the surface of the body
- On dynamical reconstruction of an input in a linear system under measuring a part of coordinates
- A straightforward proof of Carleman estimate for second-order elliptic operator and a three-sphere inequality
- Information content in data sets: A review of methods for interrogation and model comparison
- An inverse problem in corrosion detection: Stability estimates
Articles in the same Issue
- Frontmatter
- Error estimates for the simplified iteratively regularized Gauss–Newton method in Banach spaces under a Morozov-type stopping rule
- An optimization algorithm for determining a point heat source position in a 2D domain using a hybrid metaheuristic
- Lipschitz continuity of the Fréchet gradient in an inverse coefficient problem for a parabolic equation with Dirichlet measured output
- On finding a cavity in a thermoelastic body using a single displacement measurement over a finite time interval on the surface of the body
- On dynamical reconstruction of an input in a linear system under measuring a part of coordinates
- A straightforward proof of Carleman estimate for second-order elliptic operator and a three-sphere inequality
- Information content in data sets: A review of methods for interrogation and model comparison
- An inverse problem in corrosion detection: Stability estimates