Particle swarm optimization-based algorithms for solving inverse problems of designing thermal cloaking and shielding devices

Алексеев, Г. В.; Терешко, Д. А.

doi:10.1016/j.ijheatmasstransfer.2019.02.072

Cited by 43 publications

(21 citation statements)

References 37 publications

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“…The magnetic permeabilities 1  and 2  of the inhomogeneous media filling the layers 1  and 2  of the cloak play the role of controls. We have proved the correctness of direct magnetic scattering problem and proved solvability of general control problem (28). Also, we derived the optimality system describing the necessary conditions of extremum and proposed two numerical algorithms for solving our cloaking problems.…”

Section: Resultsmentioning

confidence: 79%

“…In a similar way one can show using (14) that the second term in the right-hand side of (31) tends to zero as   m . Therefore passing to the limit in (28) as . This proves the theorem.…”

Section: Theorem 2 Let Under Assumptions (Ii) and (J)mentioning

confidence: 99%

“…An alternative algorithm is based on the use of the particle swarm method according to the scheme proposed in [27,28] for the numerical solution of 2D problem of thermal cloaking.…”

Section: Theorem 3 Let Under Assumptions (Ii) and (J) The Pair  mentioning

confidence: 99%

“…Here  0 and  1 are non-negative parameters which are used to control the relative importance of terms in (28). Denote by…”

Section: Multiplicative Control Problemmentioning

confidence: 99%

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The 32nd International Conference of the Jangjeon Mathematical Society, 17–21 July, 2019, Far Eastern Federal University, Vladivostok, Russia : abstracts

2019

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The study of the properties of analytical, social and economic networks marked the beginning of the study of complex networks in general. Typical studies of the network, the models of which are graphs, answered questions of centering and connectivity, finding the shortest paths, cycles or trees, minimal covers, or maximal matching. As one or another peak, an economic agent or person in the network in question is connected with another peak, an economic agent or another person, which or who of them has the most connections with others. The term "complex networks" appeared at the beginning of this century and refers to networks with a more complex architecture than classical networks with a given number of nodes and connections. Usually in such networks it is communications that largely determine their properties.

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Section: Resultsmentioning

confidence: 79%

Section: Theorem 2 Let Under Assumptions (Ii) and (J)mentioning

confidence: 99%

“…An alternative algorithm is based on the use of the particle swarm method according to the scheme proposed in [27,28] for the numerical solution of 2D problem of thermal cloaking.…”

Section: Theorem 3 Let Under Assumptions (Ii) and (J) The Pair  mentioning

confidence: 99%

“…Here  0 and  1 are non-negative parameters which are used to control the relative importance of terms in (28). Denote by…”

Section: Multiplicative Control Problemmentioning

confidence: 99%

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The 32nd International Conference of the Jangjeon Mathematical Society, 17–21 July, 2019, Far Eastern Federal University, Vladivostok, Russia : abstracts

2019

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“…al., [46] other thermal cloaks using optimization-based procedures were also proposed. [82][83][84][85][86] For a deeply theoretical study of cloaking problems using optimization, see refs. [87,88] for instance.…”

Section: Transformation Thermodynamicsmentioning

confidence: 99%

A Brief Review on Thermal Metamaterials for Cloaking and Heat Flux Manipulation

2019

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Progress in material science has allowed the control of different physical fields in a manner that would be unachievable with ordinary materials. The development of engineered materials (the so‐called metamaterials) to control the conductive heat flux has revolutionized the manner of manipulating thermal energy and allowed the possibility of guiding the heat flux in ways difficult to accept for human intuition. Herein, a brief review regarding the recent progress and developments in thermal metamaterials conceived to perform several conductive heat flux manipulation tasks is provided. Deeply theoretical discussions concerning design methodologies are left a side, and the focus is made on the design and manufacturing feasibility of metamaterials for thermal cloaking and camouflage, heat flux concentration, and inversion, among other applications that lead to the next generation of thermal devices.

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Effective Method for Solving the Problem of Cloaking an Axisymmetric Model of Electrostatics

Алексеев

Lobanov

2022

SMART Automatics and Energy

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Particle swarm optimization-based algorithms for solving inverse problems of designing thermal cloaking and shielding devices

Cited by 43 publications

References 37 publications

The 32nd International Conference of the Jangjeon Mathematical Society, 17–21 July, 2019, Far Eastern Federal University, Vladivostok, Russia : abstracts

The 32nd International Conference of the Jangjeon Mathematical Society, 17–21 July, 2019, Far Eastern Federal University, Vladivostok, Russia : abstracts

A Brief Review on Thermal Metamaterials for Cloaking and Heat Flux Manipulation

Effective Method for Solving the Problem of Cloaking an Axisymmetric Model of Electrostatics

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