Inverse source problem and active shielding for composite domains

V. S. Ryaben'kii, S. V. Tsynkov, S. V. Utyuzhnikov

Research output: Contribution to journalArticlepeer-review

31 Citations (Scopus)

Abstract

The problem of active shielding (AS) for a multiply connected domain consists of constructing additional sources of the field (e.g., acoustic) so that all individual subdomains can either communicate freely with one another or otherwise be shielded from their peers. This problem can be interpreted as a special inverse source problem for the differential equation (or system) that governs the field. In the paper, we obtain general solution for a discretized composite AS problem and show that it reduces to solving a collection of auxiliary problems for simply connected domains.

Original languageEnglish
Pages (from-to)511-515
Number of pages5
JournalApplied Mathematics Letters
Volume20
Issue number5
DOIs
Publication statusPublished - May 2007
Externally publishedYes

Keywords

  • Active shielding
  • Calderon's projection
  • Control of sound
  • Difference potentials method
  • Inverse source
  • Multiply connected domain

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