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Computational desig...
Computational design of acoustic materials using an adaptive optimization algorithm
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- Beilina, Larisa, 1970 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,Chalmers tekniska högskola,Chalmers University of Technology
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- Smolkin, Eugene (författare)
- Penza State University
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(creator_code:org_t)
- Natural Sciences Publishing, 2018
- 2018
- Engelska.
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Ingår i: Applied Mathematics and Information Sciences. - : Natural Sciences Publishing. - 1935-0090 .- 2325-0399. ; 12:1, s. 33-43
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Abstract
Ämnesord
Stäng
- © 2018 NSP Natural Sciences Publishing Cor. We consider the problem of design of the acoustic structure of arbitrary geometry with prescribed desired properties. We use optimization approach for the solution of this problem and minimize the Tikhonov functional on adaptively refined meshes. These meshes are refined locally only in places where the acoustic structure should be designed. Our special symmetric mesh refinement strategy together with interpolation procedure allows the construction of the symmetric acoustic material with prescribed properties. Efficiency of the presented adaptive optimization algorithm is illustrated on the construction of the symmetric acoustic material in two dimensions.
Ämnesord
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Signalbehandling (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Signal Processing (hsv//eng)
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)
Nyckelord
- Acoustic wave equation
- Adaptive finite element method
- Coefficient inverse problem
- Finite difference method
- Invisibility acoustic cloaking
- Lagrangian approach
- Tikhonov functional
- Lagrangian approach
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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