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Finite element method based computational time reversal in elastodynamics: Refocusing, reconstruction and its numerical sensitivity
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SYSNO ASEP 0535460 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Finite element method based computational time reversal in elastodynamics: Refocusing, reconstruction and its numerical sensitivity Author(s) Mračko, Michal (UT-L)
Kober, Jan (UT-L) RID, ORCID
Kolman, Radek (UT-L) RID
Převorovský, Zdeněk (UT-L) RID
Tkachuk, A. (DE)
Plešek, Jiří (UT-L) RID, ORCID, SAINumber of authors 6 Source Title Mathematics and Computers in Simulation. - : Elsevier - ISSN 0378-4754
Roč. 189, November (2021), s. 163-192Number of pages 34 s. Publication form Print - P Language eng - English Country NL - Netherlands Keywords time reversal ; nondestructive testing ; elastic wave propagation ; localization ; refocusing ; reconstruction ; explicit finite element method Subject RIV BI - Acoustics OECD category Mechanical engineering R&D Projects GA17-22615S GA ČR - Czech Science Foundation (CSF) EF15_003/0000493 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) Method of publishing Limited access Institutional support UT-L - RVO:61388998 UT WOS 000683684700014 EID SCOPUS 85097457964 DOI 10.1016/j.matcom.2020.11.004 Annotation In this paper, we study the accuracy and robustness of the computational time reversal approach based on the explicit finite element method for application in nondestructive testing in solids. The main goal of this paper is to find a methodology for correct and accurate reconstruction of the original source time history. For numerical modeling of frontal (forward) and reverse
(backward) problems of elastic wave propagation, we use the finite element method and explicit time integration with the lumped mass matrix. The suggested methodology is applicable in each finite element open source or commercial software. A special attention is paid to prescription of boundary conditions/loading for the reverse problem for accurate reconstruction of time history of the original source. For evaluation of the reconstruction quality, we suggest certain cost functions. Based on several numerical tests, we show effects of prescription of boundary conditions/loading in time reversal, effect of mesh size and time step size, an unknown obstacle, a number of sources, and environmental disturbance (noise) on the correctness of reconstruction of the original source.Workplace Institute of Thermomechanics Contact Marie Kajprová, kajprova@it.cas.cz, Tel.: 266 053 154 ; Jana Lahovská, jaja@it.cas.cz, Tel.: 266 053 823 Year of Publishing 2022 Electronic address https://www.sciencedirect.com/science/article/pii/S0378475420303979?via%3Dihub
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