Inverse problems for a 2D heat conduction model connected with developing technologies of designing thermal concentrators are considered. The shells are assumed consisting of a finite number of sectors every of which is filled with homogeneous isotropic medium. By optimization method these problems are reduced to finite-dimensional extremum problems for the solution of which the particle swarm optimization is used. Rigorous optimization analysis shows that concentrators designed using optimization method have the highest efficiency in the class of devices under consideration and are easy for implementation.

中文翻译：

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优化设计热通量集中器

考虑了与开发热集中器设计技术相关的二维热传导模型的逆问题。假设壳由有限数量的扇区组成，每个扇区都填充有均匀的各向同性介质。通过优化方法，这些问题被简化为有限维极值问题，使用粒子群优化来解决这些问题。严格的优化分析表明，使用优化方法设计的集中器在所考虑的设备类别中具有最高的效率，并且易于实现。