Optimal Heat Distribution Using Asymptotic Analysis Techniques /

Optimal Heat Distribution Using Asymptotic Analysis Techniques / / Zakaria Belhachmi [and three others].

In this chapter, we consider the optimization problem of a heat distribution on a bounded domain Ω containing a heat source at an unknown location ω⊂Ω. More precisely, we are interested in the best location of ω allowing a suitable thermal environment. For this propose, we consider the minimization...

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Bibliographic Details
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Belhachmi, Zakaria,
Place / Publishing House:London : : IntechOpen,, 2021.
Year of Publication:2021
Language:English
Physical Description:1 online resource (279 pages)
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Table of Contents:
  • 1. Introduction
  • 2. The model problem
  • 3. Topological derivatives
  • 3.1 Application to the model problem
  • 3.1.1 Variation of the bilinear form
  • 3.1.2 Variation of the linear form
  • 3.1.3 Variation of the cost function
  • 4. Estimates of the remainders
  • 4.1 Preliminary lemmas
  • 4.2 Asymptotic behavior of the remainders
  • 5. Numerical experiments
  • 5.1 Example 1
  • 5.1 Example 1
  • 6. Conclusion
  • References.

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