Inverse source problem and active shielding for composite domains

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

doi:10.1016/j.aml.2006.05.019

Inverse source problem and active shielding for composite domains

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

Research output: Contribution to journal › Article › peer-review

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. © 2006 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	511-515
Number of pages	4
Journal	Applied Mathematics Letters
Volume	20
Issue number	5
DOIs	https://doi.org/10.1016/j.aml.2006.05.019
Publication status	Published - May 2007

Keywords

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

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title = "Inverse source problem and active shielding for composite domains",

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. {\textcopyright} 2006 Elsevier Ltd. All rights reserved.",

keywords = "Active shielding, Calderon's projection, Control of sound, Difference potentials method, Inverse source, Multiply connected domain",

author = "Ryaben'kii, \{V. S.\} and Tsynkov, \{S. V.\} and Utyuzhnikov, \{S. V.\}",

year = "2007",

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T1 - Inverse source problem and active shielding for composite domains

AU - Ryaben'kii, V. S.

AU - Tsynkov, S. V.

AU - Utyuzhnikov, S. V.

PY - 2007/5

Y1 - 2007/5

N2 - 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. © 2006 Elsevier Ltd. All rights reserved.

AB - 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. © 2006 Elsevier Ltd. All rights reserved.

KW - Active shielding

KW - Calderon's projection

KW - Control of sound

KW - Difference potentials method

KW - Inverse source

KW - Multiply connected domain

U2 - 10.1016/j.aml.2006.05.019

DO - 10.1016/j.aml.2006.05.019

M3 - Article

SN - 0893-9659

VL - 20

SP - 511

EP - 515

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 5

ER -

Inverse source problem and active shielding for composite domains

Abstract

Keywords

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